# Stability of evolutionarily stable strategies in discrete replicator dynamics with time delay.

@article{Alboszta2004StabilityOE, title={Stability of evolutionarily stable strategies in discrete replicator dynamics with time delay.}, author={Jan Alboszta and Jacek Miȩkisz}, journal={Journal of theoretical biology}, year={2004}, volume={231 2}, pages={ 175-9 } }

We construct two models of discrete-time replicator dynamics with time delay. In the social-type model, players imitate opponents taking into account average payoffs of games played some units of time ago. In the biological-type model, new players are born from parents who played in the past. We consider two-player games with two strategies and a unique mixed evolutionarily stable strategy. We show that in the first type of dynamics, it is asymptotically stable for small time delays and becomes… Expand

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