Séminaire Jeunes chercheurs (Mélissa Gonzalez Garcia, jeudi 12 mars 2026)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 12 mars 2026 à 17h en salle A707. Nous aurons le plaisir d'écouter Mélissa Gonzalez Garcia (CEREMADE), qui nous parlera de

Percolation Games

Abstract
Imagine two players moving an object along the vertices of the integer lattice. At each step, player 2 pays player 1 a random payoff. The value of the game reflects the (random) average payoff obtained when both players act rationally. In percolation games, this process is repeated, generating a sequence of game values. A central question is whether this sequence converges to a limit as the number of steps approaches infinity. These games belong to the broader class of stochastic games and are closely related to problems in partial differential equations and percolation theory. In this talk, I would like to introduce the model and discuss the one-player version, as well as some of the connections mentioned above.