Evolution of Preferences in Multiple Populations

08/07/2018

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by   Yu-Sung Tu, et al.

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We study the evolution of preferences and the behavioral outcomes in an n-population setting. Each player has subjective preferences over potential outcomes, and chooses a best response based on his preferences and the information about the opponents' preferences. However, players' actual fitnesses are defined by material payoff functions. Players can observe their opponents' preferences with some fixed probability p. We derive necessary and sufficient conditions for stability for p=1 and p=0. We also check the robustness of these results against small perturbations in p for the case of pure-strategy outcomes.