The analytical dynamics of the finite population evolution games

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.

• Publication year

  2020

• Venue

  Physica A-statistical Mechanics and Its Applications

• Publication date

  2020-09-01

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1016/j.physa.2020.124233
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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