Multipopulation Replicator Dynamics with Erroneous

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 sub-populations, it is natural that the individual changes its strategy depending on the sub-population the other individual belongs to. Moreover, in such a situation, each individual may make an error about the sub-population the other individual belongs to. In this paper, we propose a multipopulation model with erroneous perceptions. We define an evolutionarily stable strategy (ESS) and formulate replicator dynamics in this model, and prove several properties of the proposed model