Stochastic stability in spatial games

Details Stochastic stability in spatial games Stochastic stability in spatial games

2004-09-24

arxiv.org/abs/cond-mat/0409647v1

J. Stat. Phys. 117: 99-110 (2004)

Physics

Condensed Matter

Statistical Mechanics

13 pages, to appear in J. Stat. Phys

Scientific paper

10.1023/B:JOSS.0000044065.65866.

We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their interaction energy. Long-run behavior of stochastic dynamics of spatial games with multiple Nash equilibria is analyzed. In particular, we construct an example of a spatial game with three strategies, where stochastic stability of Nash equilibria depends on the number of players and the kind of dynamics.

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