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The analytical dynamics of the finite population evolution games

Author

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  • Vardanyan, Edgar
  • Saakian, David B.

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.

Suggested Citation

  • Vardanyan, Edgar & Saakian, David B., 2020. "The analytical dynamics of the finite population evolution games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    • Handle: RePEc:eee:phsmap:v:553:y:2020:i:c:s0378437120300571
    DOI: 10.1016/j.physa.2020.124233
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