Co-evolutionary dynamics and Bayesian interaction games |
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Authors: | Mathias Staudigl |
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Institution: | 1. Institute of Mathematical Economics (IMW), Bielefeld University, Postfach 100131, 33501, Bielefeld, Germany
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Abstract: | Recently there has been a growing interest in evolutionary models of play with endogenous interaction structure. We call such processes co-evolutionary dynamics of networks and play. We study a co-evolutionary process of networks and play in settings where players have diverse preferences. In the class of potential games we provide a closed-form solution for the unique invariant distribution of this process. Based on this result we derive various asymptotic statistics generated by the co-evolutionary process. We give a complete characterization of the random graph model, and stochastically stable states in the small noise limit. Thereby we can select among action profiles and networks which appear jointly with non-vanishing frequency in the limit of small noise in the population. We further study stochastic stability in the limit of large player populations. |
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