An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game
Keyword(s):
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.
2016 ◽
Vol 26
(08)
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pp. 1650139
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2000 ◽
Vol 147
(2)
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pp. 149
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2006 ◽
Vol 351
(6)
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pp. 417-423
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