Time Average Replicator and Best-Reply Dynamics

Authors:
Josef Hofbauer;Sylvain Sorin;Yannick Viossat
Affiliations:
Department of Mathematics, University of Vienna, A-1090 Vienna, Austria;Equipe Combinatoire et Optimisation, CNRS FRE3232 Faculté de Mathématiques, UPMC-Paris 6, 75013 Paris, France, and Laboratoire d'Econométrie, Ecole Polytechnique, 75005 Paris, Franc ...;Ceremade, Université Paris-Dauphine, F-75016 Paris, France
Venue:
Mathematics of Operations Research
Year:
2009

Citing 5
Cited 2

The weighted majority algorithm

Information and Computation
Some qualitative differences between the replicator dynamics of two player and n player games

Proceedings of the second world congress on Nonlinear analysts: part 3
Stochastic Approximations and Differential Inclusions

SIAM Journal on Control and Optimization
Stochastic Approximations and Differential Inclusions, Part II: Applications

Mathematics of Operations Research
Exponential weight algorithm in continuous time

Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities

Learning in the presence of noise

GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
Consistency of Vanishingly Smooth Fictitious Play

Mathematics of Operations Research

Quantified Score

Hi-index	0.00

Visualization

Abstract

Using an explicit representation in terms of the logit map, we show, in a unilateral framework, that the time average of the replicator dynamics is a perturbed solution of the best-reply dynamics.