Impact of individual sensitivity to payoff difference between individuals on a discrete-time imitation dynamics

The impact of individual sensitivity to the difference between expected payoffs of individuals interacting in pairs on a discrete-time imitation dynamics was investigated, where the probability of mutual imitation between pairs of individuals is measured by the Fermi function. The main results show clearly that although the evolutionary stability of our model is independent of the individual sensitivity, the change of this sensitivity may profoundly affect the dynamical behavior of the system, for example, the periodic or chaotic fluctuations due to increased individual sensitivity. These results may be more helpful for us to understand the imitation dynamics in real systems.