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Control costs and potential functions for spatial games. (English) Zbl 1052.91024
Summary: E. Van Damme and J. W. Weibull [Evolution with mutations driven by control costs; WP 501, the Research Institute of Industrial Economics, Stockholm (1998); J. Econ. Theory 106, 296–315 (2002; Zbl 1035.91006)] model the noise in games as endogenously determined tremble probabilities, by assuming that with some effort players can control the probability of implementing the intended strategy. Following their methodology, we derive logit-like adjustment rules for games played on quasi-symmetric weighted graphs and explore the properties of the ensuing Markov chain.

91A22 Evolutionary games
91B72 Spatial models in economics
91A15 Stochastic games, stochastic differential games
91A25 Dynamic games
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