Multipopulation Replicator Dynamics with Erroneous Perceptions for Opponents

Abstract

In evolutionary game theory, to the best of our knowledge, individuals' perceptions have been disregarded. When an individual interacts with the other individual under coexistence of heterogeneous populations, we can consider that the individual changes its strategy depending on the opponent. In such a situation, each individual may make an error about the population the opponent belongs to, and the influence of individuals' perceptions has to be taken into consideration.In this paper, we propose a multipopulation model with erroneous perceptions for opponents. We define an evolutionarily stable strategy (ESS) and formulate replicator dynamics in this model, and prove several properties of the proposed model.