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An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game

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  • Ikjyot Singh Kohli
  • Michael C. Haslam

Abstract

We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. We give a full account of the equilibrium points and their stability and derive the Nash equilibria. We also give a detailed account of the local bifurcations that the system exhibits based on choices of the typical Hawk-Dove parameters and . We also give details on the connections between the results found in this work and those of the standard two-strategy Hawk-Dove game. We conclude the paper with some examples of numerical simulations that further illustrate some global behaviours of the system.

Suggested Citation

  • Ikjyot Singh Kohli & Michael C. Haslam, 2017. "An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game," International Journal of Differential Equations, Hindawi, vol. 2017, pages 1-7, April.
    • Handle: RePEc:hin:jnijde:8781570
    DOI: 10.1155/2017/8781570
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    Cited by:

    1. Qiang Wang & Linjie Liu & Xiaojie Chen, 2020. "Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment," Dynamic Games and Applications, Springer, vol. 10(3), pages 764-782, September.

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