dorsal/arxiv
View SchemaStochastic stability in three-player games
| Authors | Dominik Kaminski, Jacek Miekisz, Marcin Zaborowski |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0412041 |
| URL | https://arxiv.org/abs/q-bio/0412041 |
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 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.
{
"annotation_id": "a2b2f9cb-ed73-4ff2-8e1c-099b59b544ce",
"date_created": "2026-03-02T18:01:31.936000Z",
"date_modified": "2026-03-02T18:01:31.936000Z",
"file_hash": "f4b1194c499cecdb360d9195a23be31a807368792b4beedda7b6e4322cdc1852",
"private": false,
"record": {
"abstract": "Animal behavior and evolution can often be described by game-theoretic\nmodels. Although in many situations, the number of players is very large, their\nstrategic interactions are usually decomposed into a sum of two-player games.\nOnly recently evolutionarily stable strategies were defined for multi-player\ngames and their properties analyzed (Broom et al., 1997). Here we study the\nlong-run behavior of stochastic dynamics of populations of randomly matched\nindividuals playing symmetric three-player games. We analyze stochastic\nstability of equilibria in games with multiple evolutionarily stable\nstrategies. We also show that in some games, a population may not evolve in the\nlong run to an evolutionarily stable equilibrium.",
"arxiv_id": "q-bio/0412041",
"authors": [
"Dominik Kaminski",
"Jacek Miekisz",
"Marcin Zaborowski"
],
"categories": [
"q-bio.PE"
],
"title": "Stochastic stability in three-player games",
"url": "https://arxiv.org/abs/q-bio/0412041"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "79337c43-6368-4075-bcbb-443963f74993",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}