Stochastic stability in three-player games

dc.creatorKaminski, Dominik
dc.creatorMiekisz, Jacek
dc.creatorZaborowski, Marcin
dc.date2004-12-22
dc.date.accessioned2026-07-07T05:58:50Z
dc.date.available2026-07-07T05:58:50Z
dc.descriptionAnimal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only recently evolutionarily stable strategies were defined for multi-player games and their properties analyzed (Broom et al., 1997). Here we study the long-run behavior of stochastic dynamics of populations of randomly matched individuals playing symmetric three-player games. We analyze stochastic stability of equilibria in games with multiple evolutionarily stable strategies. We also show that in some games, a population may not evolve in the long run to an evolutionarily stable equilibrium.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/q-bio/0412041
dc.identifierhttp://arxiv.org/abs/q-bio/0412041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88509
dc.subjectPopulations and Evolution
dc.titleStochastic stability in three-player games
dc.typetext

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