The analytical dynamics of the finite population evolution games

Edgar Vardanyan and David B. Saakian

Physica A: Statistical Mechanics and its Applications, 2020, vol. 553, issue C

Abstract: We study the dynamics of a finite number of replicators with different strategies in evolutionary games, using the moment closure approximation for the master equation and the Hamilton–Jacobi equation approach. These methods give finite population corrections to the results of the replicator equation. The model under investigation has two strategies N overall replicators with constant payoff matrix and the Moran process as the update mechanism. Our results are compared with the results of the deterministic replicator equation and the results of numerical stochastic calculations.

Keywords: Evolution games; Finite population; Moment closing approximation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:553:y:2020:i:c:s0378437120300571

DOI: 10.1016/j.physa.2020.124233

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