Generalized perturbed best response dynamics with a continuum of strategies

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Lahkar, R; Mukherjee, S; Roy, S

Published Date

  • March 1, 2022

Published In

Volume / Issue

  • 200 /

Electronic International Standard Serial Number (EISSN)

  • 1095-7235

International Standard Serial Number (ISSN)

  • 0022-0531

Digital Object Identifier (DOI)

  • 10.1016/j.jet.2021.105398

Citation Source

  • Scopus