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

Ikjyot Singh Kohli and Michael C. Haslam

International Journal of Differential Equations, 2017, vol. 2017, 1-7

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:8781570

DOI: 10.1155/2017/8781570

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