Game theory studies the strategic interactions between entities called players, which can be human beings, softwares, automata, juridical persons, animals… The game theory chair of ANITI investigates possible applications of game theory concepts and methods to AI. 

Cooperative online learning: Keeping your neighbors updated. T. Ce-sari, N. Cesa-Bianchi and Claire Monteleoni, ALT conference 2020. A high-probability safety guarantee for shifted neural networks surro-gates. S. Gerchinovitz, M.Duco e, Jayant Sen Gupta, Proceedings ofthe workshop on AI Safety 2020. Limit Equilibrium Payo s in Stochastic Games, J.Renault and B. Zil-iotto. Mathematics of Operations Research 2020. Representation formulas for limit values of long run stochastic optimalcontrols. J.Renault, R. Buckdahn, J.Li and M. Quincampoix, SIAMjournal of Control and Optimization 2020.

Book: Mathematical Foundations of Game Theory, J.Renault, R. Larakiand S. Sorin. Universitext book series, 229 p., Springer 2019.

Optimal Strategies in Zero-sum Repeated games with incomplete in-formation: the dependent case. F. Gensbittel and M. Oliu-Barton, toappear in Dynamic Games and Applications. A Dynkin game on assets with incomplete information on the return. F.Gensbittel, T De Angelis and S.Villeneuve, to appear in Mathematicsof Operations Research Hidden Stochastic Games and Limit Equilibrium Payo s. J.Renaultand B. Ziliotto, to appear in Games and Economic Behavior.

Acyclic gambling games. J.Renault and R. Laraki, to appear in Math-ematics of Operations Research.

Programme : IA Certifiable
Thème : optimlisation et théorie des jeux pour l’IA

Porteur : Jérôme Renaud, PR maths UT1-TSE

Chercheurs associés
Fabien Gensbittel, MCF maths UT1 -TSE
Sébastien Gerchinovitz, IRT-DEEL
Maurizio d’Andréa, PhD student ANITI,
Étienne de Montbrun, PhD student ANITI
Tommaso Cesari, Post-doc ANITI, PhD Computer Science 2020 University of Milan
Dana Pizzaro, Post-doc ANITI, PhD applied maths 2020 Universidad de Chile

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