18 citations · 37 across the 12 of their papers we have counts for
4 papers · 1 filter
Constant payoff in zero-sum stochastic games
Olivier Catoni, Miquel Oliu-Barton, Bruno Ziliotto
In a zero-sum stochastic game, at each stage, two adversary players take decisions and receive a stage payoff determined by them and by a controlled random variable representing th…
New algorithms for solving stochastic games
Miquel Oliu-Barton
Stochastic games are a classical model in game theory in which two opponents interact and the environment changes in response to the players' behavior. The central solution concept…
Shapley-Snow kernels, multiparameter eigenvalue problems and stochastic games
Luc Attia, Miquel Oliu-Barton
We establish, for the first time, a connection between stochastic games and multiparameter eigenvalue problems, using the theory developed by Shapley and Snow (1950). This connecti…
A formula for the value of a stochastic game
Luc Attia, Miquel Oliu-Barton
In 1953, Lloyd Shapley defined the model of stochastic games, which were the first general dynamic model of a game to be defined, and proved that competitive stochastic games have…