Publications (30)
Mean field type control with congestion
Yves Achdou, Mathieu Lauriere
We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions. Our main result is t…
Cooperation, Competition, and Common Pool Resources in Mean Field Games
Gokce Dayanikli, Mathieu Lauriere
Mean field games (MFGs) have been introduced to study Nash equilibria in very large population of self-interested agents. However, when applied to common pool resource (CPR) games,…
How can the tragedy of the commons be prevented?: Introducing Linear Quadratic Mixed Mean Field Games
Gokce Dayanikli, Mathieu Lauriere
In a regular mean field game (MFG), the agents are assumed to be insignificant, they do not realize their effect on the population level and this may result in a phenomenon coined…
The communication complexity of functions with large outputs
Lila Fontes, Sophie Laplante, Mathieu Lauriere +1
We study the two-party communication complexity of functions with large outputs, and show that the communication complexity can greatly vary depending on what output model is consi…
Population-aware Online Mirror Descent for Mean-Field Games with Common Noise by Deep Reinforcement Learning
Zida Wu, Mathieu Lauriere, Matthieu Geist +2
Mean Field Games (MFGs) offer a powerful framework for studying large-scale multi-agent systems. Yet, learning Nash equilibria in MFGs remains a challenging problem, particularly w…
Stochastic Graphon Games: I. The Static Case
Rene Carmona, Daniel Cooney, Christy Graves +1
We consider static finite-player network games and their continuum analogs, graphon games. Existence and uniqueness results are provided, as well as convergence of the finite-playe…