Game theory plays a pivotal role in the analysis of optimal behaviors exhibited by digital actors, in areas as varied as responding to attacks, defining and understanding bidding strategies, etc.
It typically involves repeated games with very short time-steps that can be tackled in relation to infinite-horizon or continuous-time games.
There is a team from CEREMADE and LEDa (JEET) devoted to these issues. They are particularly interested in repeated or zero-sum differential games, the role of information, auctions, evolutionary games, and no-regret dynamics.
CEREMADE is also the birthplace of mean-field games, under the influence of Jean-Michel Lasry and Pierre-Louis Lions. This formalism makes it possible to simplify problems with games featuring a "large number" of players, in which one or more could be seen as a major player. Finally, CEREMADE is where the theory of stochastic targets was developed, including its version in the form of games.
Pierre-Louis Lions, Jean-Michel Lasry, Pierre Cardaliaguet, Françoise Forge, David Ettinger, Miquel Oliu-Barton, Guillaume Vigeral, Yannick Viossat, Bruno Zilliotto, and Bruno Bouchard