Fig. 1.
General dynamics of learning and growth: agents obtain resources from their environment based on the quality of their information. A) At each time step, (a) the agent’s private channel (memory, senses) outputs a signal s ∈ S with probability P(s). (b) The agent observes the state s and (c) consults their belief for the conditional outcome probability of the environment, X(E|s). (d) The agent makes proportional resource allocations on all possible outcomes B(E|s). (f and e). The true event e ∈ E is revealed from the environment with probability P(e), and (g) the agent receives a payout proportional to the marginal probability of e. B) In a population simulation, N agents independently sample private signals and invest in events sampled from the same environment.

General dynamics of learning and growth: agents obtain resources from their environment based on the quality of their information. A) At each time step, (a) the agent’s private channel (memory, senses) outputs a signal sS with probability P(s). (b) The agent observes the state s and (c) consults their belief for the conditional outcome probability of the environment, X(E|s). (d) The agent makes proportional resource allocations on all possible outcomes B(E|s). (f and e). The true event eE is revealed from the environment with probability P(e), and (g) the agent receives a payout proportional to the marginal probability of e. B) In a population simulation, N agents independently sample private signals and invest in events sampled from the same environment.

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