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arXiv · 1607.05192

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

Ikjyot Singh Kohli·Michael C. Haslam
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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.

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Ikjyot Singh Kohli, Michael C. Haslam. 2017-04-24. An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game. https://doi.org/10.1155/2017%2F8781570

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