Active linking in evolutionary games.

Jorge M Pacheco; Arne Traulsen; Martin A Nowak

doi:10.1016/j.jtbi.2006.06.027

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Active linking in evolutionary games.

Jorge M Pacheco·Arne Traulsen·Martin A Nowak

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Abstract

In the traditional approach to evolutionary game theory, the individuals of a population meet each other at random, and they have no control over the frequency or duration of interactions. Here we remove these simplifying assumptions. We introduce a new model, where individuals differ in the rate at which they seek new interactions. Once a link between two individuals has formed, the productivity of this link is evaluated. Links can be broken off at different rates. In a limiting case, the linking dynamics introduces a simple transformation of the payoff matrix. We outline conditions for evolutionary stability. As a specific example, we study the interaction between cooperators and defectors. We find a simple relationship that characterizes those linking dynamics which allow natural selection to favour cooperation over defection.

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Animals Biological Evolution Cooperative Behavior Game Theory Humans Interpersonal Relations Models, Biological Journal Article Research Support, Non-U.S. Gov't

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Jorge M Pacheco, Arne Traulsen, Martin A Nowak. 2006-07-01. Active linking in evolutionary games.. https://doi.org/10.1016/j.jtbi.2006.06.027

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