Stochasticity and Time Delays in Evolutionary Games
- First Online:
- Cite this article as:
- Miȩkisz, J. & Wesołowski, S. Dyn Games Appl (2011) 1: 440. doi:10.1007/s13235-011-0028-1
- 315 Views
We discuss combined effects of stochasticity and time delays in simple evolutionary games with a unique mixed evolutionarily stable strategy. We present three models of time-delay stochastic dynamics of finite well-mixed or random-matching populations. We show that in the first two models the evolutionarily stable strategy loses its stability and there appears a stable cycle around it with the time period and the amplitude proportional to the delay. In the third model, only one randomly chosen individual can update his strategy at a time. This slows down the dynamics and makes the evolutionarily stable strategy stable with respect to both time delay and stochastic perturbations.