Generalized perturbed best response dynamics with a continuum of strategies

Ratul Lahkar, Sayan Mukherjee and Souvik Roy

Journal of Economic Theory, 2022, vol. 200, issue C

Abstract: 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.

Keywords: Perturbed best response; Logit dynamic; Potential games; Negative semidefinite games (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:200:y:2022:i:c:s0022053121002155

DOI: 10.1016/j.jet.2021.105398

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