Patrimony

Interactions and incitatives : between contract theory and mean-field games.

Asymétrie d'information, Contract theory, Contrôle d'épidémie, Contrôle stochastique, Energy demand management, Epidemic control, Gestion de la demande en énergie, Information asymmetry, Jeu à champs moyen, Mean-Field games, Stochastic control, Théorie des contrats

Augmented Lagrangian methods for transport optimization, Mean-Field Games and degenerate PDEs.

Augmented Lagrangian, Degenerate elliptic PDEs, Mean-Field Games, Monge Problem, Optimal Transport

An entropy minimization approach to second-order variational mean-field games.

Entropy minimization, Fokker-Planck equation, Mean-Field Games, Schrödinger bridges, Sinkhorn algorithm, Sinkhorn algorithm MS, Γ-convergence entropy minimization

Optimal transport and Cournot-Nash equilibria.

Convexity along generalised geodesics, Cournot-Nash equilibria, Externalities, Mean-field games, Monge-Amp\ère equations, Optimal transport

An entropy minimization approach to second-order variational mean-field games.

Entropy minimization, Fokker-Planck equation, Mean-Field Games, Schrödinger bridges, Sinkhorn algorithm, Γ-convergence entropy minimization

Interactions and incitatives : between contract theory and mean-field games.

Asymétrie d'information, Contract theory, Contrôle d'épidémie, Contrôle stochastique, Energy demand management, Epidemic control, Gestion de la demande en énergie, Information asymmetry, Jeu à champs moyen, Mean-Field games, Stochastic control, Théorie des contrats

The entry and exit game in the electricity markets: A mean-field game approach.

Electricity markets, Mean-field games, Optimal stopping, Renewable energy

Numerical resolution of McKean-Vlasov FBSDEs using neural networks *.

Deep BSDE, Machine learning, McKean-Vlasov FBSDEs, Mean-field games, Neural networks