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Long-run behavior of games with many players

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 Added by Jacek Miekisz
 Publication date 2004
  fields Physics
and research's language is English
 Authors Jacek Miekisz




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We discuss similarities and differencies between systems of many interacting players maximizing their individual payoffs and particles minimizing their interaction energy. We analyze long-run behavior of stochastic dynamics of many interacting agents in spatial and adaptive population games. We review results concerning the effect of the number of players and the noise level on the stochastic stability of Nash equilibria. In particular, we present examples of games in which when the number of players or the noise level increases, a population undergoes a transition between its equilibria.



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