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arXiv · 0905.3297

Replicators in Fine-grained Environment: Adaptation and Polymorphism

Armen E. Allahverdyan·Chin-Kun Hu
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Abstract

Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multi-player replicator dynamics in a constant environment. The two-player terms correspond to the time-averaged payoffs, while the three and four-player terms arise from the adaptation of the morphs to their varying environment. Such multi-player (adaptive) terms can induce a stable polymorphism. The establishment of the polymorphism in partnership games [genetic selection] is accompanied by decreasing mean fitness of the population.

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Armen E. Allahverdyan, Chin-Kun Hu. 2009-05-20. Replicators in Fine-grained Environment: Adaptation and Polymorphism. https://doi.org/10.1103/physrevlett.102.058102

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