Equilibrium transitions in finite populations of players
Volume 71 / 2006
Banach Center Publications 71 (2006), 237-242
MSC: 91A10, 91A22, 92D15, 92D25.
DOI: 10.4064/bc71-0-19
Abstract
We discuss stochastic dynamics of finite populations of individuals playing symmetric games. We review recent results concerning the dependence of the long-run behavior of such systems on the number of players and the noise level. In the case of two-player games with two symmetric Nash equilibria, when the number of players increases, the population undergoes multiple transitions between its equilibria.