A+ CATEGORY SCIENTIFIC UNIT

Equilibrium transitions in finite populations of players

Volume 71 / 2006

J. Mi/ekisz 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.

Authors

  • J. Mi/ekiszInstitute of Applied Mathematics and Mechanics
    Warsaw University
    Banacha 2
    02-097 Warszawa
    Poland
    e-mail

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