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PubMed · 16005502

Stochastic stability in three-player games.

Dominik Kamiński·Jacek Miekisz·Marcin Zaborowski
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Abstract

Animal 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 were evolutionarily stable strategies defined for multi-player games and their properties analyzed [Broom, M., Cannings, C., Vickers, G.T., 1997. Multi-player matrix games. Bull. Math. Biol. 59, 931-952]. Here we study the long-run behavior of stochastic dynamics of populations of randomly matched individuals playing symmetric three-player games. We analyze the 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.

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AnimalsBiological EvolutionGame TheoryHumansModels, BiologicalStochastic ProcessesJournal ArticleResearch Support, Non-U.S. Gov't

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Dominik Kamiński, Jacek Miekisz, Marcin Zaborowski. 2005. Stochastic stability in three-player games.. https://doi.org/10.1016/j.bulm.2005.01.004

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