Stochastic stability in spatial games
arXiv:cond-mat/0409647 · doi:10.1023/B:JOSS.0000044065.65866.bc
Abstract
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.
13 pages, to appear in J. Stat. Phys