Replicator dynamics of evolutionary hypergames

In the evolutionary game theory, the distribution of strategies in the population is changed according to payoffs which individuals earn depending on their selected strategies. However, to the best of our knowledge, individual's perceptions in evolutionary games have not been taken into consideration. Individuals that select a strategy by trial and error may perceive in the same conflict situation in a different way. Hence the influence of individual's perceptions cannot be disregarded. In this paper, interpretation functions in hypergames are introduced into two population models in evolutionary games. Using them, we formulate replicator dynamics considering individual's perceptions, and discuss relationship between its stability and hypergames.