3 papers
math.OC2024
Zero-sum Random Games on Directed Graphs
Luc Attia, Lyuben Lichev, Dieter Mitsche +2
This paper considers a class of two-player zero-sum games on directed graphs whose vertices are equipped with random payoffs of bounded support known by both players. Starting from…
math.OC2018
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…
math.PR2018
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…