Population dynamics with a stable efficient equilibrium.

Jacek MieKisz; Tadeusz Płatkowski

doi:10.1016/j.jtbi.2005.04.021

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Population dynamics with a stable efficient equilibrium.

Jacek MieKisz·Tadeusz Płatkowski

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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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Animals Biological Evolution Environment Game Theory Models, Biological Population Dynamics Risk-Taking Journal Article Research Support, Non-U.S. Gov't

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Jacek MieKisz, Tadeusz Płatkowski. 2005-06-08. Population dynamics with a stable efficient equilibrium.. https://doi.org/10.1016/j.jtbi.2005.04.021

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