6 papers · 1 filter
Particle system approximation of Nash equilibria in large games
Ludovic Tangpi, Nizar Touzi
We develop a probabilistic framework to approximate Nash equilibria in symmetric -player games in the large population regime, via the analysis of associated mean field games (M…
Marginal flows of non-entropic weak Schrödinger bridges
Camilo Hernández, Ludovic Tangpi
This paper introduces a dynamic formulation of divergence-regularized optimal transport with weak targets on the path space. In our formulation, the classical relative entropy pena…
Mean field games with common noise via Malliavin calculus
Ludovic Tangpi, Shichun Wang
We present a simpler proof of the existence of equilibria for a class of mean field games with common noise, where players interact through the conditional law given the current va…
Conditional McKean-Vlasov control
René Carmona, Ludovic Tangpi, Kaiwen Zhang
Conditional McKean-Vlasov control problems involve controlling McKean-Vlasov diffusions where the interaction occurs through the law of the state process conditionally on it stayin…
Interacting particle systems on sparse -random graphs
Carla Crucianelli, Ludovic Tangpi
We consider a general interacting particle system with interactions on a random graph, and study the large population limit of this system. When the sequence of underlying graphs c…
Propagation of chaos for mean field Schrödinger problems
Camilo Hernández, Ludovic Tangpi
In this work, we study the mean field Schrödinger problem from a purely probabilistic point of view by exploiting its connection to stochastic control theory for McKean-Vlasov dif…