Neural Networks and Contagion

Siegfried Berninghaus, Hans Haller and Alexander Outkin

No 05-35, Papers from Sonderforschungsbreich 504

Abstract: We analyze local as well as global interaction and contagion in population games, using the formalism of neural networks. In contrast to much of the literature, a state encodes not only the frequency of play, but also the spatial pattern of play. Stochastic best response dynamics with logistic noise gives rise to a log-linear or logit response model. The stationary distribution is of the Gibbs-Boltzmann type. The long-run equilibria are the maxima of a potential function.

Date: 2005
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Journal Article: Neural networks and contagion (2006)
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