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

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 detail...

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Veröffentlicht in:International journal of differential equations 2017-01, Vol.2017 (2017), p.1-7
Hauptverfasser: Kohli, Ikjyot Singh, Haslam, Michael C.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 v and c. 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.
ISSN:1687-9643
1687-9651
DOI:10.1155/2017/8781570