Abstract

We analyse the effects of geographical indication labelling on quality choices and welfare in a vertical differentiation framework with two attributes of goods, gustatory quality and geographical origin. We investigate two extreme cases of the protected designation of origin (PDO) label: a denomination standard, which guarantees only the origin of the product without any requirement on production specifications, and a minimum quality requirement, which guarantees both the origin and the quality of the product. We find that as long the PDO good is the high-quality good, binding production specifications on the quality level adversely affect the PDO producer(s).

1. Introduction

Our focus is on a food quality standard, the European protected designation of origin (PDO), which signals an immaterial dimension of quality, namely ‘terroir’ – meaning some tradition, authenticity and typicality derived from a combination of natural conditions (soil, climate etc.) and accumulated know-how in a given place of origin. European Union (EU) regulation 510/2006 defines the PDO standard as designating a product that originates from a specific geographical area where it is produced, processed and prepared, and ‘the quality or characteristics of which are essentially or exclusively due to a particular geographical environment with its inherent natural and human factors’ (Council of the European Union, 2006). This EU regulation does not stipulate how these standards should be met in practice. Its detailed implementation is defined in product specifications, which are different for each of the European PDOs (there are currently over 500). Each of these product specifications reflects a local balance of power, as the decision process for PDO creation or evolution devotes a central place to professional organisations (Ansaloni and Fouilleux, 2008). The legal framework, therefore, allows for heterogeneity in production and processing rules and in the link between quality and geographical origin. A recurring element of the general debate surrounding geographical indications (GIs) is whether they are a genuine quality signal or a rent for producers (see, in particular, Josling, 2006).

The preamble to the EU Regulation offers the political view of Europe on this matter by stating that PDO protection is beneficial to both consumers and producers: for consumers, by giving them information regarding the origin of products and by making available high-quality products with guarantees on the method of production and origin; for producers, by helping to secure higher incomes in return for a genuine effort to improve quality, and by retaining rural population in less-favoured or remote areas. However, the way the PDO system is applied in practice does not appear to guarantee a link between a geographical name and high quality (Lucatelli, 2000). Benefits to consumers depend on the extent to which natural factors and accumulated know-how in the place of origin actually confer some specific quality attributes on products, the extent to which the GI label encourages producers to improve their quality and the extent to which consumers intrinsically value the fact that production took place in a given area with given methods of production, independent of the quality attained.

In the theoretical economic literature, GIs are usually modelled as a signal of high quality in a vertical differentiation context. In some articles, the high quality of the GI good is exogenous and its existence precedes that of the label. The GI label aims at informing consumers on this quality level, which they cannot assess in its absence (Marette, Crespi and Schiavina, 1999; Marette and Crespi, 2003; Zago and Pick, 2004). Alternatively, some authors assume that GI producers have the ability to produce an exogenously high level of quality only if they invest fixed costs of quality improvement. Given imperfect information, the GI standard gives them the incentive to invest in quality (Lence et al., 2007; Mérel, 2009). In other papers, GI producers face a competitive market of low-quality products and strategically choose the high-quality level of the GI product (Moschini, Menapace and Pick, 2008; Bouamra-Mechemache and Chaaban, 2010; Mérel and Sexton, 2012). Finally, Menapace and Moschini (2012) use a dynamic model of reputation with endogenous quality choice in competitive markets. Producers within a region with distinctive ‘terroir’ features may use GI certification and/or private trademarks in order to establish a reputation of high quality. They compete with producers who use a standard technology and who may therefore only use private trademarks.

This literature addresses the welfare implications of GI labelling in a context of asymmetric information (for a survey, see Teuber, Anders and Langinier, 2011). Some studies investigate GIs as a way of direct or indirect supply control. They find that allowing GI producers to collude may improve general welfare by enabling these producers to cover the fixed costs of quality development and certification (Marette, Crespi and Schiavina, 1999; Marette and Crespi, 2003; Zago and Pick, 2004; Lence et al., 2007; Mérel, 2009). Bouamra-Mechemache and Chaaban (2010) investigate whether producers with a quality advantage should collectively choose a GI certification (modelled as entailing variable certification costs) or a private common label (entailing fixed certification costs). Moschini, Menapace and Pick (2008) differ in their approach, by showing that GI labelling is compatible with a competitive provision of quality with free entry. In this competitive context, they also find that GI labelling may improve welfare. Mérel and Sexton (2012) investigate a situation in which GI producers are able to collude on quality choice, but not on quantities. They find that GI producers may end up supplying a higher level of quality than the welfare-maximising one. Menapace and Moschini (2012) show that GI certification, by acting as a tool for collective reputation, improves welfare compared with a situation in which only private trademarks would be available to firms.

Here, we aim to provide a theoretical framework that studies welfare effects of GIs depending on the extent to which product specifications are binding. In order to do so, we step back from the sophisticated level on which some issues, such as direct versus indirect supply control or dynamic reputation, have been addressed in this literature.

With this in mind, our framework borrows some insights from that of Crampes and Hollander (1995a) on denomination or appellation standards. Their article builds on a stylised fact about the harmonisation of the standard for gold in the EU, which has led France to reduce the number of karats that a metal has to contain in order to be called ‘gold’. The authors examine how relaxing this standard affects producers and consumers. They model the appellation standard as certifying that quality is at least equal to a given threshold. They adopt a vertical differentiation framework in which consumers value the intrinsic quality level of the good they consume, as well as the presence of a label on this good, and in which a firm that has adopted the standard competes with a low-quality firm that has not. The authors show that relaxing the denomination standard benefits high-quality producers. As in their model, we adopt some assumptions on how consumers derive utility both from the existence of the PDO label that signals where the product originates from, and from the actual taste of the product. Our paper also relates to the analysis of Chambolle and Giraud-Héraud (2005), who model quality choices by two firms, one of which can adopt a label of origin, while the other cannot. Their analysis differs from ours in that they assume that the labelled firm must commit itself to quantity restrictions in order to benefit from the label (we do not model any capacity constraint linked to PDO labelling). More generally, our article builds on the industrial organisation literature on endogenous quality choice (notably, Motta, 1993; Cremer and Thisse, 1994; Lambertini, 1996).

In our model, we derive endogenous quality choice both by a firm whose product bears a PDO label and by one that cannot put forward the necessary traditional know-how to benefit from PDO labelling, with a Bertrand or a Cournot duopoly. We examine the equilibrium in which the PDO firm produces the high-quality good. We compare two extreme implementations of the PDO label: either this label only guarantees the origin of the product or it guarantees both the origin and the final quality of the product. We also analyse an extension of this duopoly model in which producer organisations choose the quality of each good and in which a competitive equilibrium with atomistic producers arises once qualities are chosen.

2. Are PDO product specifications stringent? The examples of the Comté and Cantal French cheeses

We illustrate the heterogeneity of PDO product specifications, both through time and between products, with the example of Comté and Cantal, two French AOC cheeses with ancient origins (AOC, which stands for ‘Appellation d'Origine Contrôlée’, is the French equivalent of the European PDO).1 Both cheeses were recognised as AOC by courts in the 1950s after their local craft unions, respectively, initiated lawsuits against grocers selling cheeses, which originated from outside the traditional production areas, as ‘Comté’ and ‘Cantal’.

The 1952 court decision for Comté, which put forward evidence of the long tradition of Comté production in the region, delimitated the area of authorised production and specified that AOC Comté cheese should be produced in accordance with local, loyal and consistent customs and notably come from local cow breeds, fed according to customs codified in the statutes of the local cheese dairies. The initial decree of the Comté AOC, published in 1958, imposed only the area of authorised production and the condition that it should be produced ‘in accordance with local, loyal and consistent customs’. Gradually, other rules have been introduced on milk production and processing, as summarised in the Appendix (Table A1). Currently, the main rules for milk production are the obligation to use local cow breeds, the prohibition of the use of silage, a limitation on livestock and milk production per hectare and a limitation on feed concentrate. For processing, the main rules are the obligation to collect milk near the production point and the duration of cheese ripening (Colinet et al., 2006).

The first decree of the Cantal AOC was published in 1980, long after a 1956 court decision recognised the AOC. This decree only instituted a minimum of 45 days of cheese ripening (decreased to 30 days in 1986) and a few details concerning the temperature and length of certain manufacturing stages (INAO, 1980 and 1986a). Yet, the 1956 court decision that ruled in favour of the Cantal AOC insisted on the significance of every constitutive detail of the Cantal terroir, notably the volcanic ground, the special local flora, the rustic cow breeds, the transhumance and mountain summer pasture and the traditional manufacturing (see Appendix Table A2). A new specification, adopted in 2007 after a lengthy process and under pressure from the French institute for AOCs, instituted a series of precise rules at the production, processing and ripening stages. These specifications are not completely in line with the initial description of the Cantal terroir in the 1956 court ruling. Dairy and cheese production practices in the area have evolved a lot in the meantime, and no longer match the initial description of the Cantal terroir. Cantal milk production, initially limited to the mountain area during summer, has developed in a peneplain area contained in the AOC area with more intensive milk production methods based on corn silage, intensive Holstein cattle has partly replaced the initial Salers and Aubrac rustic breeds and processing has been industrialised (Colinet, Desquilbet and Hassan, 2007).

For the purpose of our analysis, two elements of these examples are noteworthy. First, even though the EU PDO Regulation requires that the quality or characteristics of the PDO product must be ‘essentially or exclusively due to a particular geographical environment with its inherent natural and human factors’, our examples show that the extent to which actual PDO specifications convey a specific terroir varies in practice. Second, the overall production/processing specifications are more restrictive for Comté than for Cantal. At least some of these specifications (e.g. lower stocking rate, specific cow breeds) impact the quality of the product. These conclusions are consistent with those of Barjolle and Sylvander (2000), who report the results of case studies that qualitatively analyse the specificity of 16 PDOs in six European countries, with respect to the characteristics of the product, its perceived quality, its technological factors and its denomination. These case studies indicate that PDOs are heterogeneous and that the presence of a PDO label does not necessarily imply a strong specificity of the product.

3. Theoretical framework and benchmark equilibrium with no labelling

We adopt a model that draws on standard features of the vertical differentiation literature. We consider two goods: a good with PDO labelling, denoted a, and a good for which PDO labelling is not possible, denoted b. The economic literature assumes either that both the high- and low-quality levels are exogenous (Marette, Crespi and Schiavina, 1999; Zago and Pick, 2004), or that only the high-quality level (enjoying a GI) is endogenous (Moschini, Menapace and Pick, 2008; Menapace and Moschini, 2012; Mérel and Sexton, 2012). In our framework, we assume that the quality levels of both the PDO and the non-PDO goods are endogenous. We study the equilibrium in which the PDO good is of higher quality than the non-PDO good. We consider two extreme alternative implementations of the PDO label. We call the PDO label a ‘minimum quality requirement’ when PDO specifications impose both local production and binding quality requirements, so that the final product meets at least some given quality level.2 Alternatively, we call the PDO label a ‘denomination standard’ if PDO specifications require that every production step takes place within a given area, but do not induce any effective quality constraint.

In models on GIs, the quality level is typically one-dimensional and the high-quality good is a credence good (or an experience good in the dynamic framework of Menapace and Moschini, 2012). We distinguish two attributes of goods: gustatory quality and geographic origin. Gustatory quality of good i is a one-dimensional continuous vertical attribute labelled qi (the higher qi, the better the taste of good i). Within the usual classification of search, experience or credence attributes (Nelson, 1970; Darby and Karni, 1973), taste is typically an experience attribute, known only after purchase. However, for a product purchased repeatedly, which is usually the case with food products, consumers have an idea of its taste before purchase (as long as the product is identifiable, for example, by a trademark, and its taste is stable enough over time). In our one-period model, we handle this gustatory quality as a search attribute (detected before purchase). We leave out any informational problems related to this gustatory quality, assuming, as in Menapace and Moschini (2012), that firms can identify their products by trademarks at no cost. In contrast, we assume that consumers are not able to discern whether the good originates from a particular area and, therefore, the attribute of geographic origin is a credence attribute, which can be revealed only by public labelling.

Consumers purchase a single unit of one of the two goods, or nothing. Their utility is additive in the two attributes of the good. They differ in the intensity of their preference for gustatory quality, measured by a parameter θ distributed uniformly on the interval [θ_,θ¯], with θ¯=θ_+1 (Mussa-Rosen, 1978). They value the origin of the PDO good and have identical preferences for geographical origin, measured by a same parameter g for all consumers. The utility of consumer θ is given by
(1)

The marginal consumer who is indifferent between the two goods is characterised by θ~=(papbg)/(qaqb). As long as qa>qb (which is the case studied in this paper), the demand function for the PDO good is given by xa(pa,pb,qa,qb)=θ¯θ~. The demand function for the non-PDO good xb depends on whether the market is covered (each consumer buys one of the two goods) or uncovered (some consumers, with a low, do not buy anything). If the market is covered, it is given by xb(pa,pb,qa,qb)=θ~θ_. If the market is uncovered, the consumer who is indifferent between consuming the non-PDO good or nothing is characterised by θ0=pb/qb and the demand function for the non-PDO good is xb(pa,pb,qa,qb)=θ~θ0.

Our assumption that consumers derive a positive utility from the origin of the good conveys the idea that the PDO label has a positive image, which may confer some ‘status’ characteristic on a good bearing this label.3 Alternatively, it may reflect the idea that consumers are altruistic and consider the purchase of PDOs as contributing to a public good, such as the maintenance of rural activity and traditional production (although we do not model such a public good in our welfare function). This assumption is consistent with the results of empirical studies that evaluate the willingness to pay (WTP) for PDO. In order to disentangle the intrinsic quality (the gustatory taste) and the extrinsic quality (the geographical origin) of PDO products, Loureiro and McCluskey (2000), Hassan and Monier-Dilhan (2006), Fandos and Flavián (2006) and Menapace et al., (2011) take some cues for gustatory taste, such as colour, freshness, aroma or fat content, into account. The main result of these studies is that, after controlling for the effects of available variables that describe the intrinsic quality, a positive consumer WTP for PDO products remains. (However, it is not possible to determine to what extent this positive WTP is attributable to an attachment to the geographical origin per se or to a higher gustatory quality that results from immeasurable characteristics of PDO products.)

Analogously to Crampes and Hollander (1995a), we assume [equation (1)] that all consumers derive the same utility from the origin but, for the purpose of simplification and contrary to these authors, we do not assume that the utility attached to the origin depends on the gustatory quality of the good (although we report simulation results with the assumption that the preference for origin increases with the quality level, with g(qa)=γqa).

To obtain analytical solutions, we first study the case of a Bertrand duopoly with a covered market and identical cost functions for both firms.4 Both firms play a two-stage game, choosing quality levels first, and then prices. We consider the equilibrium in which the PDO firm produces the high-quality good. The firm producing the PDO good incurs the same fixed cost of certification F, which we model as independent of the quality level, for both types of PDO labels.5 We assume that, apart from this certification cost, fixed costs of production are zero, while variable costs of production are constant in quantity (xi) and quadratic in quality (qi), with a cost parameter c.6 Profit functions are therefore given by
(2)
We then use simulations to analyse the cases of a Bertrand and a Cournot duopoly, both with an uncovered market. In both cases, we model a possible cost disadvantage for the firm producing the non-PDO good. When this cost disadvantage exists, we assume that it occurs through a fixed cost born by the non-PDO firm only. This fixed cost (f) may be thought of as an investment cost to acquire knowledge on how to produce the high-quality good or dedicated infrastructures.7 In these simulations, profit functions in the Bertrand duopoly are given by
(3)
For the Cournot duopoly (analogously to Lambertini, 1996), the demand system is inverted, yielding pa=g+qa(1xa)qbxb and pb=qa(1xaxb). Profit functions are therefore written
(4)

Our assumption of one firm per product, with strategic behaviour both with and without labelling, applies to the processing stage of PDOs, in which there is often market power, rather than to the farm stage. In this sense, our model can be viewed as an extreme case in which processors have integrated farmers vertically. In the last section, we also study a game in which producer organisations set quality in the first stage and farmers behave competitively in the second stage.

4. PDO labelling: denomination standard versus minimum quality requirement

In the case of the denomination standard, the PDO label only indicates the geographical origin, while product specifications stating how the PDO good must be produced do not impose any effective production constraints. The minimum quality requirement represents the extreme case in which production practices of the PDO product have to ensure at least a given level of product quality.

Proposition 1.A analyses the effects of the introduction of a minimum quality requirement in a Bertrand duopoly with a covered market (proof is given in Appendix). Table 1 gives equilibrium values with a denomination standard and the comparative statics of the introduction of a minimum quality requirement. Proposition 1.B analyses these effects for an uncovered market, when firms compete either in Bertrand or in Cournot, and when the non-PDO firm either bears a cost disadvantage or not. It relies on simulations performed for different values of the cost parameter c, the cost disadvantage for the non-PDO firm f and the preference for geographical origin g.8 Table 2 gives simulation results for some specific parameter values. 

Proposition 1

Introduction of a minimum quality requirement

Table 1.

Bertrand competition, covered market

Equilibrium with a denomination standardComparative statics starting from the equilibrium with a denomination standard to the equilibrium with a minimum quality requirement
PDO qualityqa=12θ¯16cg+324cdqadqa=1>0
Non-PDO qualityqb=12θ¯16cg1524cdqbdqa=9+16cg27+16cg>0
PDO pricepa=(4θ¯+1)2+2464c+g(12θ¯+8cg3)18dpadqa=12θ¯16cg+312>0
Non-PDO pricepb=(4θ¯5)2+2464c+g(12θ¯+8cg9)18dpbdqa=316cg12+(9+16cg)θ¯27+16cg>0
Marginal consumerθ~=18θ¯916cg18dθ~dqa=4c(9+16cg)81+48cg>0
PDO profitπa=(9+16cg)2432cFdπadqa=(9+16cg)218(27+16cg)<0
Non-PDO profitπb=(916cg)2432cdπbdqa=916cg18>0
Consumer surplusCS=16θ¯(θ¯1)2364c+g(278cg)54dCSdqa=916cg18<0
Total welfareW=16θ¯(θ¯1)+164c+g2+28cg227FdWdqa=(9+16cg)218(27+16cg)<0
Equilibrium with a denomination standardComparative statics starting from the equilibrium with a denomination standard to the equilibrium with a minimum quality requirement
PDO qualityqa=12θ¯16cg+324cdqadqa=1>0
Non-PDO qualityqb=12θ¯16cg1524cdqbdqa=9+16cg27+16cg>0
PDO pricepa=(4θ¯+1)2+2464c+g(12θ¯+8cg3)18dpadqa=12θ¯16cg+312>0
Non-PDO pricepb=(4θ¯5)2+2464c+g(12θ¯+8cg9)18dpbdqa=316cg12+(9+16cg)θ¯27+16cg>0
Marginal consumerθ~=18θ¯916cg18dθ~dqa=4c(9+16cg)81+48cg>0
PDO profitπa=(9+16cg)2432cFdπadqa=(9+16cg)218(27+16cg)<0
Non-PDO profitπb=(916cg)2432cdπbdqa=916cg18>0
Consumer surplusCS=16θ¯(θ¯1)2364c+g(278cg)54dCSdqa=916cg18<0
Total welfareW=16θ¯(θ¯1)+164c+g2+28cg227FdWdqa=(9+16cg)218(27+16cg)<0
Table 1.

Bertrand competition, covered market

Equilibrium with a denomination standardComparative statics starting from the equilibrium with a denomination standard to the equilibrium with a minimum quality requirement
PDO qualityqa=12θ¯16cg+324cdqadqa=1>0
Non-PDO qualityqb=12θ¯16cg1524cdqbdqa=9+16cg27+16cg>0
PDO pricepa=(4θ¯+1)2+2464c+g(12θ¯+8cg3)18dpadqa=12θ¯16cg+312>0
Non-PDO pricepb=(4θ¯5)2+2464c+g(12θ¯+8cg9)18dpbdqa=316cg12+(9+16cg)θ¯27+16cg>0
Marginal consumerθ~=18θ¯916cg18dθ~dqa=4c(9+16cg)81+48cg>0
PDO profitπa=(9+16cg)2432cFdπadqa=(9+16cg)218(27+16cg)<0
Non-PDO profitπb=(916cg)2432cdπbdqa=916cg18>0
Consumer surplusCS=16θ¯(θ¯1)2364c+g(278cg)54dCSdqa=916cg18<0
Total welfareW=16θ¯(θ¯1)+164c+g2+28cg227FdWdqa=(9+16cg)218(27+16cg)<0
Equilibrium with a denomination standardComparative statics starting from the equilibrium with a denomination standard to the equilibrium with a minimum quality requirement
PDO qualityqa=12θ¯16cg+324cdqadqa=1>0
Non-PDO qualityqb=12θ¯16cg1524cdqbdqa=9+16cg27+16cg>0
PDO pricepa=(4θ¯+1)2+2464c+g(12θ¯+8cg3)18dpadqa=12θ¯16cg+312>0
Non-PDO pricepb=(4θ¯5)2+2464c+g(12θ¯+8cg9)18dpbdqa=316cg12+(9+16cg)θ¯27+16cg>0
Marginal consumerθ~=18θ¯916cg18dθ~dqa=4c(9+16cg)81+48cg>0
PDO profitπa=(9+16cg)2432cFdπadqa=(9+16cg)218(27+16cg)<0
Non-PDO profitπb=(916cg)2432cdπbdqa=916cg18>0
Consumer surplusCS=16θ¯(θ¯1)2364c+g(278cg)54dCSdqa=916cg18<0
Total welfareW=16θ¯(θ¯1)+164c+g2+28cg227FdWdqa=(9+16cg)218(27+16cg)<0
Table 2.

Duopoly equilibria with an uncovered market, θ¯=1,c=1/2,g=1/20

Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.7190.7910.6790.7470.6620.7280.6540.720
Quality qb0.3140.3460.2280.2490.5410.5470.3530.361
Price pa0.4080.4640.4020.4550.4050.4590.4130.467
Price pb0.1030.1200.0720.0830.2680.2760.1540.161
Marginal consumer θ00.3280.3480.3160.3330.4950.5040.4360.446
Marginal consumer θ~0.6300.6600.6200.6470.7190.7340.6950.712
Profit πa (regardless of the fixed certification cost F)0.05530.05150.06500.06220.05210.05140.06070.0598
Profit πb0.01620.01890.01140.01320.02730.02900.01750.0190
Consumer surplus CS0.09870.09920.08590.08640.07380.07370.07010.0702
Total welfare W0.17020.16960.16230.16180.15310.15480.14840.1490
Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.7190.7910.6790.7470.6620.7280.6540.720
Quality qb0.3140.3460.2280.2490.5410.5470.3530.361
Price pa0.4080.4640.4020.4550.4050.4590.4130.467
Price pb0.1030.1200.0720.0830.2680.2760.1540.161
Marginal consumer θ00.3280.3480.3160.3330.4950.5040.4360.446
Marginal consumer θ~0.6300.6600.6200.6470.7190.7340.6950.712
Profit πa (regardless of the fixed certification cost F)0.05530.05150.06500.06220.05210.05140.06070.0598
Profit πb0.01620.01890.01140.01320.02730.02900.01750.0190
Consumer surplus CS0.09870.09920.08590.08640.07380.07370.07010.0702
Total welfare W0.17020.16960.16230.16180.15310.15480.14840.1490

Note: In these simulations, the quality level of the PDO good is 10 per cent higher with the minimum quality requirement (MQR) than with the denomination standard (DS).

Table 2.

Duopoly equilibria with an uncovered market, θ¯=1,c=1/2,g=1/20

Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.7190.7910.6790.7470.6620.7280.6540.720
Quality qb0.3140.3460.2280.2490.5410.5470.3530.361
Price pa0.4080.4640.4020.4550.4050.4590.4130.467
Price pb0.1030.1200.0720.0830.2680.2760.1540.161
Marginal consumer θ00.3280.3480.3160.3330.4950.5040.4360.446
Marginal consumer θ~0.6300.6600.6200.6470.7190.7340.6950.712
Profit πa (regardless of the fixed certification cost F)0.05530.05150.06500.06220.05210.05140.06070.0598
Profit πb0.01620.01890.01140.01320.02730.02900.01750.0190
Consumer surplus CS0.09870.09920.08590.08640.07380.07370.07010.0702
Total welfare W0.17020.16960.16230.16180.15310.15480.14840.1490
Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.7190.7910.6790.7470.6620.7280.6540.720
Quality qb0.3140.3460.2280.2490.5410.5470.3530.361
Price pa0.4080.4640.4020.4550.4050.4590.4130.467
Price pb0.1030.1200.0720.0830.2680.2760.1540.161
Marginal consumer θ00.3280.3480.3160.3330.4950.5040.4360.446
Marginal consumer θ~0.6300.6600.6200.6470.7190.7340.6950.712
Profit πa (regardless of the fixed certification cost F)0.05530.05150.06500.06220.05210.05140.06070.0598
Profit πb0.01620.01890.01140.01320.02730.02900.01750.0190
Consumer surplus CS0.09870.09920.08590.08640.07380.07370.07010.0702
Total welfare W0.17020.16960.16230.16180.15310.15480.14840.1490

Note: In these simulations, the quality level of the PDO good is 10 per cent higher with the minimum quality requirement (MQR) than with the denomination standard (DS).

1.A. Consider a Bertrand duopoly and assume that the following conditions hold:

  • The market is covered: θ_2>1+(916cg/12)2,

  • It is profitable for the PDO firm to label its good: F<(g(16cg(q)+18)/27) and

  • At equilibrium both firms operate on the market: 16c g < 9.

Starting from the equilibrium with a denomination standard, the introduction of a minimum quality requirement leads to an increase in quality levels and prices of both goods, a decrease in the production and profit of the PDO firm, an increase in the production and profit of the non-PDO firm and a decrease in consumer surplus and in total welfare.

1.B. Consider a Bertrand or a Cournot duopoly with an uncovered market, assuming θ¯=1,c{14,12,34},f{0,140,120,340,110} and g{140,120,340,110}.

It is also the case that the introduction of a minimum quality requirement leads to higher quality levels and prices of both goods, a decrease in the production and profit of the PDO firm, and an increase of the production and profit of the non-PDO firm. However, the introduction of the minimum quality requirement may lead to an increase or a decrease in consumer surplus and/or total welfare, depending on whether competition is in prices or quantities and depending on parameter values.

The introduction of a minimum quality requirement leads to an increase in the quality level of both the PDO firm and the non-PDO firm, compared with the case of the denomination standard. A main result for our purpose is that the PDO firm has no interest in this strengthening of the quality requirement. This result reinforces the findings of Crampes and Hollander (1995a). From the consumer's point of view, they find that all consumers lose from a strengthening in the standard. We obtain the analogous result that consumer surplus is smaller if production requirements for the PDO label are binding when the market is covered. When the market is uncovered, consumers may be worse off or better off with a minimum quality requirement than with a denomination standard. The global effect on consumer welfare depends on the relative sizes of two opposing effects. In all simulations, consumers who keep consuming the PDO good are better off, because its quality increase more than compensates for its price increase in their utility, while all other categories of consumers are worse off: those who stop consuming the more expensive non-PDO good; those who keep consuming the non-PDO good (given their lower valuation of quality than PDO consumers, for them the quality increase does not compensate for the price increase); those who turn from the more expensive PDO good to the non-PDO good. The effect on global welfare is determined by the relative sizes of the decrease in the profit of the PDO firm, the increase in the profit of the non-PDO firm and the change in consumer surplus.

Our result that the PDO firm obtains a lower profit level with a minimum quality requirement than with a denomination standard is robust to the assumption that the preference for origin, g, either does or does not depend on the quality level of the PDO good (see simulation results with g(qa)=γqa in Table 3). The intuition for this result is the following. In the situation in which the PDO label acts as a denomination standard and the utility derived from the origin depends on the quality level, the PDO firm has an incentive to take advantage of this structure of preferences by setting a higher quality level than it would have if the utility from the origin was independent of the quality level. If the regulator sets a minimum quality requirement that imposes a further increase in this quality level, it is detrimental to the PDO firm. This is what occurs in our simulations. With an invariant g = 0.05, in Table 2, the equilibrium value of the PDO quality is 0.719 with a Bertrand duopoly and a denomination standard. With g(qa), settingγ=7/100, we have that g(0.719)0.05: that is, if the PDO firm chose to set its quality at 0.719, consumers' utility from the origin would be 0.05 as in the simulation with an invariant g. Yet, the PDO firm has an interest in setting its quality to a higher level, equal to 0.817, in order to benefit from a higher valuation of origin by consumers, g(0.817)0.057. But it is not profitable for this firm to set its quality to the even higher level imposed by the minimum quality requirement.

Table 3.

Duopoly equilibria with uncovered market, when the preference for origin increases with the quality level, θ¯=1,c=1/2,g=(7/100)qa

Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.8170.8980.7790.8570.7620.8390.7540.830
Quality qb0.3520.3830.2550.2750.5490.5550.3630.370
Price pa0.4900.5620.4840.5540.4890.5580.4970.565
Price pb0.1240.1430.0870.09810.2780.2860.1630.170
Marginal consumer θ00.3530.3740.3400.3570.5070.5150.4500.459
Marginal consumer θ~0.6630.6920.6550.6800.7390.7530.7180.734
Profit πa (regardless of the fixed cost of certification F)0.05250.04910.06240.05970.05180.05100.06000.0589
Profit πb0.01930.02220.01380.01570.02960.03140.01950.0210
Consumer surplus CS0.10000.09950.08690.08680.07400.07380.07050.070
Total welfare W0.1720.1710.1630.1620.1550.1560.150000.1503
Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.8170.8980.7790.8570.7620.8390.7540.830
Quality qb0.3520.3830.2550.2750.5490.5550.3630.370
Price pa0.4900.5620.4840.5540.4890.5580.4970.565
Price pb0.1240.1430.0870.09810.2780.2860.1630.170
Marginal consumer θ00.3530.3740.3400.3570.5070.5150.4500.459
Marginal consumer θ~0.6630.6920.6550.6800.7390.7530.7180.734
Profit πa (regardless of the fixed cost of certification F)0.05250.04910.06240.05970.05180.05100.06000.0589
Profit πb0.01930.02220.01380.01570.02960.03140.01950.0210
Consumer surplus CS0.10000.09950.08690.08680.07400.07380.07050.070
Total welfare W0.1720.1710.1630.1620.1550.1560.150000.1503

Note: DS and MQR are abbreviations for denomination standard and minimum quality requirement.

Table 3.

Duopoly equilibria with uncovered market, when the preference for origin increases with the quality level, θ¯=1,c=1/2,g=(7/100)qa

Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.8170.8980.7790.8570.7620.8390.7540.830
Quality qb0.3520.3830.2550.2750.5490.5550.3630.370
Price pa0.4900.5620.4840.5540.4890.5580.4970.565
Price pb0.1240.1430.0870.09810.2780.2860.1630.170
Marginal consumer θ00.3530.3740.3400.3570.5070.5150.4500.459
Marginal consumer θ~0.6630.6920.6550.6800.7390.7530.7180.734
Profit πa (regardless of the fixed cost of certification F)0.05250.04910.06240.05970.05180.05100.06000.0589
Profit πb0.01930.02220.01380.01570.02960.03140.01950.0210
Consumer surplus CS0.10000.09950.08690.08680.07400.07380.07050.070
Total welfare W0.1720.1710.1630.1620.1550.1560.150000.1503
Bertrand duopoly
Cournot duopoly
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQRDSMQRDSMQR
Quality qa0.8170.8980.7790.8570.7620.8390.7540.830
Quality qb0.3520.3830.2550.2750.5490.5550.3630.370
Price pa0.4900.5620.4840.5540.4890.5580.4970.565
Price pb0.1240.1430.0870.09810.2780.2860.1630.170
Marginal consumer θ00.3530.3740.3400.3570.5070.5150.4500.459
Marginal consumer θ~0.6630.6920.6550.6800.7390.7530.7180.734
Profit πa (regardless of the fixed cost of certification F)0.05250.04910.06240.05970.05180.05100.06000.0589
Profit πb0.01930.02220.01380.01570.02960.03140.01950.0210
Consumer surplus CS0.10000.09950.08690.08680.07400.07380.07050.070
Total welfare W0.1720.1710.1630.1620.1550.1560.150000.1503

Note: DS and MQR are abbreviations for denomination standard and minimum quality requirement.

5. Alternative framework with atomistic producers

Our assumption of duopoly is relevant for some PDO processing stages; however, a competitive setting may be more appropriate for other PDOs. Here, we relax the duopoly assumption and consider an alternative setting based on Mérel and Sexton (2012). We assume that two producer organisations set the gustatory quality of each good in the first stage of the game. In the second stage, within each producer organisation, identical atomistic producers choose their quantities.

For producers to obtain rents in this context, marginal costs must increase with quantities. Additionally, to obtain finite quality levels, the elasticity of total cost with respect to quality must be higher than its elasticity with respect to quantity (see Proposition 1 in Mérel and Sexton, 2012). We choose the following total cost function for good i, which satisfies both properties
(5)
Profit functions are therefore given by
(6)

We simulate equilibria with a denomination standard and with a minimum quality requirement, with and without a cost disadvantage for non-PDO producers. The results are shown in Table 4. All results obtained in the duopoly framework still hold. In other words, our results are robust to the assumption of competitive versus strategic behaviour at the second stage of the game in these simulations.

Table 4.

Equilibria with competition at the second stage of the game, θ¯=1,c=1/2,g=1/20

No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQR
Quality qa2.072.282.172.39
Quality qb1.691.700.970.99
Price pa1.421.641.481.70
Price pb1.051.090.400.42
Marginal consumer θ00.620.640.410.43
Marginal consumer θ~0.840.860.860.88
Profit πa (regardless of the fixed cost of certification F)0.1140.1130.1070.106
Profit πb0.1140.1200.0420.046
Consumer surplus CS0.1260.1160.1790.170
Total welfare W0.3540.3500.3270.323
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQR
Quality qa2.072.282.172.39
Quality qb1.691.700.970.99
Price pa1.421.641.481.70
Price pb1.051.090.400.42
Marginal consumer θ00.620.640.410.43
Marginal consumer θ~0.840.860.860.88
Profit πa (regardless of the fixed cost of certification F)0.1140.1130.1070.106
Profit πb0.1140.1200.0420.046
Consumer surplus CS0.1260.1160.1790.170
Total welfare W0.3540.3500.3270.323

Note: DS and MQR are abbreviations for denomination standard and minimum quality requirement.

Table 4.

Equilibria with competition at the second stage of the game, θ¯=1,c=1/2,g=1/20

No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQR
Quality qa2.072.282.172.39
Quality qb1.691.700.970.99
Price pa1.421.641.481.70
Price pb1.051.090.400.42
Marginal consumer θ00.620.640.410.43
Marginal consumer θ~0.840.860.860.88
Profit πa (regardless of the fixed cost of certification F)0.1140.1130.1070.106
Profit πb0.1140.1200.0420.046
Consumer surplus CS0.1260.1160.1790.170
Total welfare W0.3540.3500.3270.323
No cost disadvantage for non-PDO (f=0)
Cost disadvantage for non-PDO (f=1/20)
DSMQRDSMQR
Quality qa2.072.282.172.39
Quality qb1.691.700.970.99
Price pa1.421.641.481.70
Price pb1.051.090.400.42
Marginal consumer θ00.620.640.410.43
Marginal consumer θ~0.840.860.860.88
Profit πa (regardless of the fixed cost of certification F)0.1140.1130.1070.106
Profit πb0.1140.1200.0420.046
Consumer surplus CS0.1260.1160.1790.170
Total welfare W0.3540.3500.3270.323

Note: DS and MQR are abbreviations for denomination standard and minimum quality requirement.

6. Conclusion

In the European legislation, PDOs are presented as high-quality labels. Yet, and probably more so than for any other food label, PDO products are very heterogeneous, in the sense that product specifications associated with the label are uniquely defined for each PDO product. Therefore, while every PDO indicates a specific origin, the information provided on gustatory quality is far more diverse. We model this heterogeneity by analysing two extreme alternative ways in which the PDO regulation may be implemented, by acting either as a signal of origin only (denomination standard) or by imposing, in addition, product specifications that introduce binding requirements on the quality level (minimum quality requirement). To this aim, we consider a setting in which producers' quality choices are endogenous and in which consumers value the gustatory quality as well as the geographic origin of PDO goods.

Starting from a duopoly equilibrium with a denomination standard in which the PDO firm produces the high-quality product, we analytically study the comparative statics effects of the introduction of a minimum quality requirement when firms compete in a Bertrand duopoly and when the market is covered. We find that the PDO firm obtains lower profits when the PDO regulation acts as a minimum quality requirement rather than merely as a denomination standard. Using simulations, we find that these results are robust to the alternative assumptions of a Bertrand or Cournot duopoly with an uncovered market. They also hold with a cost disadvantage for the firm producing the non-PDO good and when the utility derived from the origin of the PDO good increases with its quality level. These results are also robust to the alternative assumption of a competitive framework at the second stage of the game.

This result appears to contradict the observation that some PDO producer associations reinforce their product specifications through time (as detailed in this article for the examples of Comté and Cantal). A possible explanation for this apparent contradiction is that the reinforcement of product specifications observed for some PDOs does not necessarily aim at improving the final quality of the product. Actual reinforcements of product specifications may aim at improving the image of the product (as long as consumers know about these changes, which may be the case through communication and advertising), thereby acting on the parameter g, which describes the utility attached to the PDO label of the product, rather than on the utility attached to its gustatory quality. An increase in g resulting from the shift from a denomination standard to a minimum quality requirement may benefit consumers and raise the profit of the PDO firm/producers. Another reason is that reinforcements of product specifications result in part from negotiations with public authorities in charge of the PDO label implementation, and thus depend on the relative bargaining power of regulators and producer organisations. In addition, some reinforcements in product specifications may correspond to the actual practices of most PDO producers. In this case, they are not restrictive for these producers, but provide producer organisations with stronger control over supply by preventing their practices to become more intensive in the future and by forbidding the entry of producers which practices are not in line with the reinforced specification. A possible extension of our model would be to account for such strategies to directly or indirectly control the production level.

Acknowledgements

The research leading to this article has received funding from the French National Research Agency, project ANR-11-ALID-002-01 ‘Offrir et Consommer une Alimentation Durable’. The authors would like to thank the three referees and the editor for several comments and suggestions that have improved the paper.

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Appendix

Table A1.

Evolution of the specifications of the Comté AOC: incremental rules added by successive decrees

198619982007
Milk production
  • Cows must belong to the Montbéliarde or French Simmental breeds

    Silage and other fermented feed are prohibited

  • Stocking rate limited to one cow per hectare of grassland pasture

    Less than 30% of the total dry matter of feed must originate from concentrates

    Two milkings per day are mandatory

  • Production limited to 4,600 litres

    Stocking rate limited to 1.3 livestock units per hectare of main fodder area

    Farm Comté is forbidden (Comté must be produced mixing milks from different farms)

Cheese dairy processing
  • Cheese from raw milk

    Regulations on the duration and temperatures of the various processing stages

Milk has to be collected within a radius of 25 kmSize limits to cheese dairies are introduced
RipeningMinimum of 90 days of cheese ripening
  • Minimum of 120 days of cheese ripening

    Mandatory manual operations during the ripening stage

Other changes
  • Casein plate for cheese identification

    Specific labelling other than Comté is forbidden

  • A special exemption must be granted for prepackaging outside the PDO area

    Brand labelling is authorised

Grated Comté production is authorised
198619982007
Milk production
  • Cows must belong to the Montbéliarde or French Simmental breeds

    Silage and other fermented feed are prohibited

  • Stocking rate limited to one cow per hectare of grassland pasture

    Less than 30% of the total dry matter of feed must originate from concentrates

    Two milkings per day are mandatory

  • Production limited to 4,600 litres

    Stocking rate limited to 1.3 livestock units per hectare of main fodder area

    Farm Comté is forbidden (Comté must be produced mixing milks from different farms)

Cheese dairy processing
  • Cheese from raw milk

    Regulations on the duration and temperatures of the various processing stages

Milk has to be collected within a radius of 25 kmSize limits to cheese dairies are introduced
RipeningMinimum of 90 days of cheese ripening
  • Minimum of 120 days of cheese ripening

    Mandatory manual operations during the ripening stage

Other changes
  • Casein plate for cheese identification

    Specific labelling other than Comté is forbidden

  • A special exemption must be granted for prepackaging outside the PDO area

    Brand labelling is authorised

Grated Comté production is authorised
Table A1.

Evolution of the specifications of the Comté AOC: incremental rules added by successive decrees

198619982007
Milk production
  • Cows must belong to the Montbéliarde or French Simmental breeds

    Silage and other fermented feed are prohibited

  • Stocking rate limited to one cow per hectare of grassland pasture

    Less than 30% of the total dry matter of feed must originate from concentrates

    Two milkings per day are mandatory

  • Production limited to 4,600 litres

    Stocking rate limited to 1.3 livestock units per hectare of main fodder area

    Farm Comté is forbidden (Comté must be produced mixing milks from different farms)

Cheese dairy processing
  • Cheese from raw milk

    Regulations on the duration and temperatures of the various processing stages

Milk has to be collected within a radius of 25 kmSize limits to cheese dairies are introduced
RipeningMinimum of 90 days of cheese ripening
  • Minimum of 120 days of cheese ripening

    Mandatory manual operations during the ripening stage

Other changes
  • Casein plate for cheese identification

    Specific labelling other than Comté is forbidden

  • A special exemption must be granted for prepackaging outside the PDO area

    Brand labelling is authorised

Grated Comté production is authorised
198619982007
Milk production
  • Cows must belong to the Montbéliarde or French Simmental breeds

    Silage and other fermented feed are prohibited

  • Stocking rate limited to one cow per hectare of grassland pasture

    Less than 30% of the total dry matter of feed must originate from concentrates

    Two milkings per day are mandatory

  • Production limited to 4,600 litres

    Stocking rate limited to 1.3 livestock units per hectare of main fodder area

    Farm Comté is forbidden (Comté must be produced mixing milks from different farms)

Cheese dairy processing
  • Cheese from raw milk

    Regulations on the duration and temperatures of the various processing stages

Milk has to be collected within a radius of 25 kmSize limits to cheese dairies are introduced
RipeningMinimum of 90 days of cheese ripening
  • Minimum of 120 days of cheese ripening

    Mandatory manual operations during the ripening stage

Other changes
  • Casein plate for cheese identification

    Specific labelling other than Comté is forbidden

  • A special exemption must be granted for prepackaging outside the PDO area

    Brand labelling is authorised

Grated Comté production is authorised

 

Proof of proposition 1.A.
The solution is obtained through backward induction. With a covered market, given that firms compete in Bertrand, at the second stage of the game, we obtain
Table A2.

Current specification of the Cantal AOC: perspective with the initial terroir description and the evolution of production practices

Excerpts from the 1956 court decision that ruled in favour of the Cantal AOC, according to which ‘cantal production implies a series of precise factors that occur together in no other region’Specification of the Cantal AOC in the 2007 decree and production practices in the Cantal production area in 2006
Production area
  • ‘rather rough and rainy climate’

    ‘particular property of the volcanic grounds, rich in phosphoric acid, in potassium hydroxide or in magnesia’

    both ‘contributing to the development of rich grasslands brightened up with a varied and original spontaneous flora … making for cows feeding on them a milk not only very rich in fat, but also of a special taste, determining in this way a milk vintage particularly suitable for Cantal production’

The Cantal AOC production area includes the Châtaigneraie, whose characteristics differ from those described in the 1956 ruling (its grounds have very few tracks of volcanism). Milk production there was marginal in the 1950s, but has developed since then, with intensive breeding methods based on corn silage. Châtaigneraie accounted for ∼30% of total milk production in the AOC Cantal area in 2006 (when ∼40% of milk produced in the area went to Cantal production with no differentiation of milk according to its use)
Milk production
  • ‘another added important natural factor, concerning the bovine species Salers and Aubrac, exclusively and specially adapted to the region; close breeds, rustic and very climate-resistant, fitted for transhumance and estivage’; ‘these two breeds, though producing less milk than those of the plain, do produce fatter milk, and above all, milk of an aromatic flavour, thanks to the rich flora of the pastures of the Cantal massifs’

    ‘The manufacturing of Cantal remains subordinate to the breeding and feeding methods… in the sense that the milk used to produce Cantal results only from animals on pastures with no other feed, so that the cheese may be described as a fruit of terroir because of the close and total union of the animal and the ground’

  • Milk for Cantal AOC must be from animals born and raised in the AOC production area, but the specification does not mandate any specific breed. Many dairy farms in the Cantal area now have only intensive Holstein cow breeds.

    Stocking rate is limited to one cow per hectare of utilised agricultural area.

    Forage must originate from the AOC area; at least 70% of the daily ration of the dairy herd comes from grazed or preserved grass; no >1,800 kg of concentrates per cow and per year. These rules are constraining mainly for intensive farm types based on corn silage which represented ∼45% of milk production in 2006

    Farm Cantal is authorised

Cheese dairy processing‘Manufacturing is based on very ancient processes and […] cannot be realised by industrial processes, because it must be made on-site with still warm milk, the collection of which, twice a day, can be made only in a low range’
  • Cheese from raw or heat-treated milk

    Regulations on the duration and temperatures of the various processing stages

    In 2006 production was quite industrialised: a main player produced ∼40% of Cantal AOC. Together the first three players accounted for 63% of the Cantal market

Ripening
  • Minimum of 30 days of cheese ripening, with three categories: young (30–60 days); ‘entre-deux’ (middle age) (90–210 days); old (at least 240 days)

OtherGrated Cantal is authorised
Excerpts from the 1956 court decision that ruled in favour of the Cantal AOC, according to which ‘cantal production implies a series of precise factors that occur together in no other region’Specification of the Cantal AOC in the 2007 decree and production practices in the Cantal production area in 2006
Production area
  • ‘rather rough and rainy climate’

    ‘particular property of the volcanic grounds, rich in phosphoric acid, in potassium hydroxide or in magnesia’

    both ‘contributing to the development of rich grasslands brightened up with a varied and original spontaneous flora … making for cows feeding on them a milk not only very rich in fat, but also of a special taste, determining in this way a milk vintage particularly suitable for Cantal production’

The Cantal AOC production area includes the Châtaigneraie, whose characteristics differ from those described in the 1956 ruling (its grounds have very few tracks of volcanism). Milk production there was marginal in the 1950s, but has developed since then, with intensive breeding methods based on corn silage. Châtaigneraie accounted for ∼30% of total milk production in the AOC Cantal area in 2006 (when ∼40% of milk produced in the area went to Cantal production with no differentiation of milk according to its use)
Milk production
  • ‘another added important natural factor, concerning the bovine species Salers and Aubrac, exclusively and specially adapted to the region; close breeds, rustic and very climate-resistant, fitted for transhumance and estivage’; ‘these two breeds, though producing less milk than those of the plain, do produce fatter milk, and above all, milk of an aromatic flavour, thanks to the rich flora of the pastures of the Cantal massifs’

    ‘The manufacturing of Cantal remains subordinate to the breeding and feeding methods… in the sense that the milk used to produce Cantal results only from animals on pastures with no other feed, so that the cheese may be described as a fruit of terroir because of the close and total union of the animal and the ground’

  • Milk for Cantal AOC must be from animals born and raised in the AOC production area, but the specification does not mandate any specific breed. Many dairy farms in the Cantal area now have only intensive Holstein cow breeds.

    Stocking rate is limited to one cow per hectare of utilised agricultural area.

    Forage must originate from the AOC area; at least 70% of the daily ration of the dairy herd comes from grazed or preserved grass; no >1,800 kg of concentrates per cow and per year. These rules are constraining mainly for intensive farm types based on corn silage which represented ∼45% of milk production in 2006

    Farm Cantal is authorised

Cheese dairy processing‘Manufacturing is based on very ancient processes and […] cannot be realised by industrial processes, because it must be made on-site with still warm milk, the collection of which, twice a day, can be made only in a low range’
  • Cheese from raw or heat-treated milk

    Regulations on the duration and temperatures of the various processing stages

    In 2006 production was quite industrialised: a main player produced ∼40% of Cantal AOC. Together the first three players accounted for 63% of the Cantal market

Ripening
  • Minimum of 30 days of cheese ripening, with three categories: young (30–60 days); ‘entre-deux’ (middle age) (90–210 days); old (at least 240 days)

OtherGrated Cantal is authorised
Table A2.

Current specification of the Cantal AOC: perspective with the initial terroir description and the evolution of production practices

Excerpts from the 1956 court decision that ruled in favour of the Cantal AOC, according to which ‘cantal production implies a series of precise factors that occur together in no other region’Specification of the Cantal AOC in the 2007 decree and production practices in the Cantal production area in 2006
Production area
  • ‘rather rough and rainy climate’

    ‘particular property of the volcanic grounds, rich in phosphoric acid, in potassium hydroxide or in magnesia’

    both ‘contributing to the development of rich grasslands brightened up with a varied and original spontaneous flora … making for cows feeding on them a milk not only very rich in fat, but also of a special taste, determining in this way a milk vintage particularly suitable for Cantal production’

The Cantal AOC production area includes the Châtaigneraie, whose characteristics differ from those described in the 1956 ruling (its grounds have very few tracks of volcanism). Milk production there was marginal in the 1950s, but has developed since then, with intensive breeding methods based on corn silage. Châtaigneraie accounted for ∼30% of total milk production in the AOC Cantal area in 2006 (when ∼40% of milk produced in the area went to Cantal production with no differentiation of milk according to its use)
Milk production
  • ‘another added important natural factor, concerning the bovine species Salers and Aubrac, exclusively and specially adapted to the region; close breeds, rustic and very climate-resistant, fitted for transhumance and estivage’; ‘these two breeds, though producing less milk than those of the plain, do produce fatter milk, and above all, milk of an aromatic flavour, thanks to the rich flora of the pastures of the Cantal massifs’

    ‘The manufacturing of Cantal remains subordinate to the breeding and feeding methods… in the sense that the milk used to produce Cantal results only from animals on pastures with no other feed, so that the cheese may be described as a fruit of terroir because of the close and total union of the animal and the ground’

  • Milk for Cantal AOC must be from animals born and raised in the AOC production area, but the specification does not mandate any specific breed. Many dairy farms in the Cantal area now have only intensive Holstein cow breeds.

    Stocking rate is limited to one cow per hectare of utilised agricultural area.

    Forage must originate from the AOC area; at least 70% of the daily ration of the dairy herd comes from grazed or preserved grass; no >1,800 kg of concentrates per cow and per year. These rules are constraining mainly for intensive farm types based on corn silage which represented ∼45% of milk production in 2006

    Farm Cantal is authorised

Cheese dairy processing‘Manufacturing is based on very ancient processes and […] cannot be realised by industrial processes, because it must be made on-site with still warm milk, the collection of which, twice a day, can be made only in a low range’
  • Cheese from raw or heat-treated milk

    Regulations on the duration and temperatures of the various processing stages

    In 2006 production was quite industrialised: a main player produced ∼40% of Cantal AOC. Together the first three players accounted for 63% of the Cantal market

Ripening
  • Minimum of 30 days of cheese ripening, with three categories: young (30–60 days); ‘entre-deux’ (middle age) (90–210 days); old (at least 240 days)

OtherGrated Cantal is authorised
Excerpts from the 1956 court decision that ruled in favour of the Cantal AOC, according to which ‘cantal production implies a series of precise factors that occur together in no other region’Specification of the Cantal AOC in the 2007 decree and production practices in the Cantal production area in 2006
Production area
  • ‘rather rough and rainy climate’

    ‘particular property of the volcanic grounds, rich in phosphoric acid, in potassium hydroxide or in magnesia’

    both ‘contributing to the development of rich grasslands brightened up with a varied and original spontaneous flora … making for cows feeding on them a milk not only very rich in fat, but also of a special taste, determining in this way a milk vintage particularly suitable for Cantal production’

The Cantal AOC production area includes the Châtaigneraie, whose characteristics differ from those described in the 1956 ruling (its grounds have very few tracks of volcanism). Milk production there was marginal in the 1950s, but has developed since then, with intensive breeding methods based on corn silage. Châtaigneraie accounted for ∼30% of total milk production in the AOC Cantal area in 2006 (when ∼40% of milk produced in the area went to Cantal production with no differentiation of milk according to its use)
Milk production
  • ‘another added important natural factor, concerning the bovine species Salers and Aubrac, exclusively and specially adapted to the region; close breeds, rustic and very climate-resistant, fitted for transhumance and estivage’; ‘these two breeds, though producing less milk than those of the plain, do produce fatter milk, and above all, milk of an aromatic flavour, thanks to the rich flora of the pastures of the Cantal massifs’

    ‘The manufacturing of Cantal remains subordinate to the breeding and feeding methods… in the sense that the milk used to produce Cantal results only from animals on pastures with no other feed, so that the cheese may be described as a fruit of terroir because of the close and total union of the animal and the ground’

  • Milk for Cantal AOC must be from animals born and raised in the AOC production area, but the specification does not mandate any specific breed. Many dairy farms in the Cantal area now have only intensive Holstein cow breeds.

    Stocking rate is limited to one cow per hectare of utilised agricultural area.

    Forage must originate from the AOC area; at least 70% of the daily ration of the dairy herd comes from grazed or preserved grass; no >1,800 kg of concentrates per cow and per year. These rules are constraining mainly for intensive farm types based on corn silage which represented ∼45% of milk production in 2006

    Farm Cantal is authorised

Cheese dairy processing‘Manufacturing is based on very ancient processes and […] cannot be realised by industrial processes, because it must be made on-site with still warm milk, the collection of which, twice a day, can be made only in a low range’
  • Cheese from raw or heat-treated milk

    Regulations on the duration and temperatures of the various processing stages

    In 2006 production was quite industrialised: a main player produced ∼40% of Cantal AOC. Together the first three players accounted for 63% of the Cantal market

Ripening
  • Minimum of 30 days of cheese ripening, with three categories: young (30–60 days); ‘entre-deux’ (middle age) (90–210 days); old (at least 240 days)

OtherGrated Cantal is authorised
At the first stage of the game, the equilibrium described in Table 1 is the unique equilibrium satisfying qa > qb and the second order condition of profit maximisation. Reaction functions that yield this equilibrium are given by

The PDO firm obtains a higher profit level with the denomination standard than in the absence of the label if and only if F<g(16cg+18)/27. The market is covered if and only if pb/qb<θ_, or equivalently, θ_2>1+(916cg/12)2. Both firms operate on the market if and only if θ_<θ~<θ¯, or equivalently, 16c g < 9.

Starting from the equilibrium with a denomination standard, the comparative statics of the introduction of a minimum quality requirement for any variable x is obtained by calculating dx/dqa=(x/qa)+(x/qb)(qb(qa,g)/qa) (see 1).

 
Proof of proposition 1.B.

Solving the second stage of the game yields prices as functions of qualities in the Bertrand duopoly, and quantities as functions of qualities in the Cournot duopoly. In both cases, solving the first stage of the game yields firms' optimal quality choices with a denomination standard. For both the Bertrand and Cournot cases, the minimum quality requirement is simulated by assuming a 10 per cent increase in the quality level of the PDO good compared with the denomination standard equilibrium, given that the non-PDO firm reacts to this quality increase by adjusting its quality level along its reaction function.

1

Comté (from the East of France) dominates AOC cheese sales in France by far, with 25 per cent of the volume sold on that market in 2010, followed by Roquefort (10 per cent) and Reblochon (8 per cent). Cantal (from the centre of France) is the fourth French AOC cheese with almost 8 per cent of the total volume sold on that market in 2010 (INAO/CNAOL, 2011).

2

Note that this minimum quality requirement differs from the classical minimum quality standard. A minimum quality standard is a minimum quality level that must be met by all firms operating in the market. Our minimum quality requirement defines a minimum quality level that must be met only by the PDO firm or the PDO producers.

3

Status goods are ‘goods for which the mere use or display of a particular branded product confers prestige on their owners, apart from any utility deriving from their function’ (Grossman and Shapiro, 1988). An indication of the collective reputation of the PDO label, for example, is the result of a study on food consumption conducted in France in 2007, in which 94 per cent of 1,013 interviewed people declared that they knew the AOC quality sign and 86 per cent declared that they had confidence in food products bearing an AOC label (Tavoularis, Recours and Hebel, 2007).

4

Cremer and Thisse (1994) and Lambertini (1996) model endogenous quality choices with a covered market and variable costs functions and are able to solve their model analytically. In the case of a non-covered market, Motta (1993) assumes (in terms of our model's parameters) that θ_=0, and has to choose a numerical value for θ¯ in order to solve the model, while Lambertini (1996) resorts to simulations to solve the analogous model with Cournot competition.

5

Marette et al. (1999), Marette and Crespi (2003), Zago and Pick (2004), Lence et al. (2007) and Mérel (2009) assume that PDO certification entails a fixed certification cost.

6

This assumption is identical to that of Crampes and Hollander (1995b), who support the idea that variable costs of quality are empirically more relevant than fixed costs of quality, as most quality standards pertain to materials and ingredients.

7

Typically models of GIs assume that the PDO product is of higher quality and therefore more costly to produce than the non-PDO product, but do not model cost functions covering the whole range of possible qualities for both products. An exception is Menapace and Moschini (2012), who assume that PDO producers have a comparative advantage for the production of high-quality goods while non-PDO producers have a comparative advantage for the production of low-quality goods, with all costs being variable costs. Their assumption is intended to cover the notion of ‘terroir’: ‘the fact that the nature and characteristics of the conditions of production in the GI region facilitate the attainment of quality’. With our assumption, ‘terroir’ is seen as the combined result of accumulated know-how, the reputation of the local product and specific investments, rather than natural conditions in the GI region.

8

In these simulations, a duopoly equilibrium emerges both with a denomination standard and with a minimum quality requirement, unless when the cost parameter and the preference for origin both have high values: c=3/4, g=3/40 or g=1/10 in the Bertrand case and c=3/4, g=1/10 in the Cournot case.

Author notes

Review coordinated by Iain Fraser