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The ‘Hawk-Dove’ Game and the Speed of the Evolutionary Process in Small Heterogeneous Populations

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  • Bernhard Voelkl

    () (Ethologie des Primates, DEPE, (UMR 7178), CNRS – Université de Strasbourg, 23 rue Becquerel, 67087 Strasbourg, France)

Abstract

I study the speed of the evolutionary process on small heterogeneous graphs using the Hawk-Dove game. The graphs are based on empirical observation data of grooming interactions in 81 primate groups. Analytic results for the star graph have revealed that irregular graphs can slow down the evolutionary process by increasing the mean time to absorption. Here I show that the same effects can be found for graphs representing natural animal populations which are much less heterogeneous than star graphs. Degree variance has proven to be a good predictor for the mean time to absorption also for these graphs.

Suggested Citation

  • Bernhard Voelkl, 2010. "The ‘Hawk-Dove’ Game and the Speed of the Evolutionary Process in Small Heterogeneous Populations," Games, MDPI, Open Access Journal, vol. 1(2), pages 1-14, May.
  • Handle: RePEc:gam:jgames:v:1:y:2010:i:2:p:103-116:d:8244
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    1. repec:spr:dyngam:v:8:y:2018:i:1:d:10.1007_s13235-016-0204-4 is not listed on IDEAS

    More about this item

    Keywords

    evolutionary game theory; heterogeneity; games on graphs;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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