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Generalized Perturbed Best Response Dynamics with a Continuum of Strategies
, Sayan Mukherjee, Souvik Roy
Published in Academic Press Inc.
Volume: 200
We consider a generalization of perturbed best response dynamics in population games with a continuum of strategies. The previous literature has considered the logit dynamic generated through the Shannon entropy as a deterministic perturbation. We consider a wider class of deterministic perturbations satisfying lower semicontinuity and strong convexity. Apart from the Shannon entropy, Tsallis entropy and Burg entropy are other perturbations that satisfy these conditions. We thereby generate the generalized perturbed best response dynamic with a continuum of strategies. We establish fundamental properties of the dynamic and show convergence in potential games and negative semidefinite games.
About the journal
JournalJournal of Economic Theory
PublisherAcademic Press Inc.
Open AccessNo