Population dynamics with a stable efficient equilibrium

dc.creatorMiekisz, Jacek
dc.creatorPlatkowski, Tadeusz
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:11Z
dc.date.available2026-07-07T07:54:11Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/q-bio/0703057
dc.identifierhttp://arxiv.org/abs/q-bio/0703057
dc.identifierJ. Theor. Biol. 237: 363 - 368 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126504
dc.subjectPopulations and Evolution
dc.titlePopulation dynamics with a stable efficient equilibrium
dc.typetext

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