Soutenance de thèse: Thibault Bonnemain



LPTM, Université Cergy Pontoise
2 avenue Adolphe Chauvin, Pontoise

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Quadratic Mean Field Games with Negative Coordination


Thibault Bonnemain


Cécile APPERT-ROLLAND, Univeristé Paris-Saclay, examinatrice

Thierry GOBRON, Université Cergy-Pontoise, directeur de thèse

Olivier GUEANT, Université Paris 1 Panthéon-Sorbonne, examinateur

Max-Olivier HONGLER, EPFL, rapporteur

Jean-Pierre NADAL, École Normale Supérieure, examinateur

Filippo SANTAMBROGIO, Université Claude Bernard – Lyon 1, rapporteur

Denis ULLMO, Univeristé Paris-Saclay, co-directeur de thèse


Mean Field Games provide a powerful theoretical framework to deal with stochastic optimization problems involving a large number of coupled subsystems. They can find application in several fields, be it finance, economy, sociology, engineering … However, this theory is rather recent and still poses many challenges. Its constitutive equations, for example, are difficult to analyse and the set of behaviours they highlight are ill-understood. While the large majority of contributions to this discipline come from mathematicians, economists or engineering scientists, physicist have only marginally be involved in it. In this thesis I try and start bridging the gap between Physics and Mean Field Games through the study of a specific class of models dubbed « quadratic ».

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