35 citations · 57 across the 6 of their papers we have counts for
5 papers · 1 filter
Convergence of generalized urn models to non-equilibrium attractors
Mathieu Faure, Sebastian Schreiber
Generalized Polya urn models have been used to model the establishment dynamics of a small founding population consisting of k different genotypes or strategies. As population size…
Consistency of vanishing smooth fictitious play
Michel Benaïm, Mathieu Faure
We discuss consistency of Vanishing Smooth Fictitious Play, a strategy in the context of game theory, which can be regarded as a smooth fictitious play procedure, where the smoothi…
Quasi-stationary distributions for randomly perturbed dynamical systems
Mathieu Faure, Sebastian J. Schreiber
We analyze quasi-stationary distributions of a family of Markov chains that are random perturbations of…
Stochastic Approximation, Cooperative Dynamics and Supermodular Games
Michel Benaïm, Mathieu Faure
This paper considers a stochastic approximation algorithm, with decreasing step size and martingale difference noise. Under very mild assumptions, we prove the non convergence of t…
Stochastic approximations of set-valued dynamical systems: Convergence with positive probability to an attractor
Mathieu Faure, Gregory Roth
A succesful method to describe the asymptotic behavior of a discrete time stochastic process governed by some recursive formula is to relate it to the limit sets of a well chosen m…