Co-evolutionary dynamics and Bayesian interaction games

Mathias Staudigl ()

International Journal of Game Theory, 2013, vol. 42, issue 1, 179-210

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. Copyright Springer-Verlag 2013

Keywords: Potential games; Network evolution; Heterogeneous populations; Inhomogeneous random graphs; Large deviations (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s00182-012-0331-0

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