activity
20092021
most citedEvolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time

33 citations · 53 across the 9 of their papers we have counts for

collaborators

9 papers

cs.GT2021★ 1 cited

Learning in nonatomic games, Part I: Finite action spaces and population games

Saeed Hadikhanloo, Rida Laraki, Panayotis Mertikopoulos +1

We examine the long-run behavior of a wide range of dynamics for learning in nonatomic games, in both discrete and continuous time. The class of dynamics under consideration includ…

math.OC2018

Zero-sum Stochastic Games: Limit Optimal Trajectories

Sylvain Sorin, Guillaume Vigeral

We consider zero sum stochastic games. For every discount factor , a time normalization allows to represent the game as being played on the interval [0, 1]. We introduce the tra…

math.OC2016

Uniform Value for Recursive Games with Compact Actions

Xiaoxi Li, Sylvain Sorin

Mertens, Neyman and Rosenberg [MOR, 2009] used the Mertens and Neyman theorem [IJGT, 1981] to prove the existence of uniform value for absorbing games with finite state space and c…

math.OC2016

Limit value of dynamic zero-sum games with vanishing stage duration

Sylvain Sorin

We consider two person zero-sum games where the players control, at discrete times {tn} induced by a partition of R + , a continuous time Markov state process. We prove that th…

math.OC2015★ 1 cited

Finite composite games: Equilibria and dynamics

Sylvain Sorin, Cheng Wan

We study games with finitely many participants, each having finitely many choices. We consider the following categories of participants: (I) populations: sets of nonatomic agents,…

math.OC2015★ 6 cited

Operator approach to values of stochastic games with varying stage duration

Sylvain Sorin, Guillaume Vigeral

We study the links between the values of stochastic games with varying stage duration , the corresponding Shapley operators and and the solution of $\dot f…

math.OC2014★ 12 cited

On values of repeated games with signals

Hugo Gimbert, Jérôme Renault, Sylvain Sorin +2

We study the existence of different notions of value in two-person zero-sum repeated games where the state evolves and players receive signals. We provide some examples showing tha…

math.OC2010

Asymptotic Properties of Optimal Trajectories in Dynamic Programming

Sylvain Sorin, Xavier Venel, Guillaume Vigeral

We prove in a dynamic programming framework that uniform convergence of the finite horizon values implies that asymptotically the average accumulated payoff is constant on optimal…

math.OC2009★ 33 cited

Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time

Juan Peypouquet, Sylvain Sorin

This survey is devoted to the asymptotic behavior of solutions of evolution equations generated by maximal monotone operators in Hilbert spaces. The emphasis is in the comparison o…