A Two Population Growing Model: Exogamic or Endogamic

We show an analytic model for a situation in which two populations are confronted in an exogamic or endogamic way. Our approach is based on Evolutionary Game Theory for Non-Symmetric Games but considering a new rule of imitation: evolutive regret when the probability of selecting the best strategy is included. The rule states to choose the actions with the best results, with a probability proportional to the expected gains. In particular, we show the relation between Dynamic Strategy and Nash equilibrium in an asymmetric game of imitation strategies.