dorsal/arxiv
View SchemaPopulation dynamics with a stable efficient equilibrium
| Authors | Jacek Miekisz, Tadeusz Platkowski |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0703057 |
| URL | https://arxiv.org/abs/q-bio/0703057 |
| Journal | J. Theor. Biol. 237: 363 - 368 (2005) |
Abstract
We propose a game-theoretic dynamics of a population of replicating individuals. It consists of two parts: the standard replicator one and a migration between two different habitats. We consider symmetric two-player games with two evolutionarily stable strategies: the efficient one in which the population is in a state with a maximal payoff and the risk-dominant one where players are averse to risk. We show that for a large range of parameters of our dynamics, even if the initial conditions in both habitats are in the basin of attraction of the risk-dominant equilibrium (with respect to the standard replication dynamics without migration), in the long run most individuals play the efficient strategy.
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"abstract": "We propose a game-theoretic dynamics of a population of replicating\nindividuals. It consists of two parts: the standard replicator one and a\nmigration between two different habitats. We consider symmetric two-player\ngames with two evolutionarily stable strategies: the efficient one in which the\npopulation is in a state with a maximal payoff and the risk-dominant one where\nplayers are averse to risk. We show that for a large range of parameters of our\ndynamics, even if the initial conditions in both habitats are in the basin of\nattraction of the risk-dominant equilibrium (with respect to the standard\nreplication dynamics without migration), in the long run most individuals play\nthe efficient strategy.",
"arxiv_id": "q-bio/0703057",
"authors": [
"Jacek Miekisz",
"Tadeusz Platkowski"
],
"categories": [
"q-bio.PE"
],
"journal_ref": "J. Theor. Biol. 237: 363 - 368 (2005)",
"title": "Population dynamics with a stable efficient equilibrium",
"url": "https://arxiv.org/abs/q-bio/0703057"
},
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