44 citations · 290 across the 45 of their papers we have counts for
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An example of multiple mean field limits in ergodic differential games
Pierre Cardaliaguet, Catherine Rainer
We present an example of symmetric ergodic -players differential games, played in memory strategies on the position of the players, for which the limit set, as , o…
From heterogeneous microscopic traffic flow models to macroscopic models
Pierre Cardaliaguet, Nicolas Forcadel
The goal of this paper is to derive rigorously macroscopic traffic flow models from microscopic models. More precisely, for the microscopic models, we consider follow-the-leader ty…
Weak KAM theory for potential MFG
Pierre Cardaliaguet, Marco Masoero
We develop the counterpart of weak KAM theory for potential mean field games. This allows to describe the long time behavior of time-dependent potential mean field game systems. Ou…
Forward and Backward Stochastic Differential Equations with normal constraint in law
Philippe Briand, Pierre Cardaliaguet, Paul-Éric Chaudru de Raynal +1
In this paper we investigate the well-posedness of backward or forward stochastic differential equations whose law is constrained to live in an a priori given (smooth enough) set a…