Generalized perturbed best response dynamics with a continuum of strategies

We consider a generalization of perturbed best response dynamics in population games with continuum strategies. The previous literature has considered the logit dynamic generated through Shannon entropy as deterministic perturbation. wider class perturbations satisfying lower semicontinuity and strong convexity. Apart from entropy, Tsallis Burg are other that satisfy these conditions. thereby generate generalized establish fundamental properties show convergence potential negative semidefinite games.