Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-09-29
Physics
Condensed Matter
Statistical Mechanics
21 pages, to appear in Markov Processes and Related Fields, in Proceedings of the workshop "Inhomogeneous random systems, inte
Scientific paper
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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