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.
Highlights
Game theory was originally brought up by John von Neumann and Oskar Morgenstern [1] to study economic behaviour and decision making in humans
I showed that the same effect can be found for graphs representing real-life animal populations
This was the case for the fixed fitness scenarios, irrespectively of whether the mutation brought a fitness advantage or disadvantage and for the case of a single Hawk invader in the Hawk-Dove game, irrespectively of the fighting costs
Summary
Game theory was originally brought up by John von Neumann and Oskar Morgenstern [1] to study economic behaviour and decision making in humans. In the 1970s game theory was adopted by biologists to make predictions about evolutionary processes [2,3,4,5]. In evolutionary game theory the payoff from a game is linked with the fitness (i.e., the reproductive success) of an individual. Individuals who receive higher payoffs reproduce at higher rates and, their genes spread in the population. As a result advantageous strategies become more abundant. Evolutionary game theory differs in several important aspects from classical game theoretic analyses. Rather than studying the outcome of a game in a two-player setting, evolutionary game theory focuses on the
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