7 papers
Computation and implementation of an optimal mean field control for smart charging
Adrien Seguret, Cheng Wan, Clémence Alasseur
This paper addresses an optimal control problem for a large population of identical plug-in electric vehicles (PEVs). The number of PEVs being large, the mean field assumption is f…
Efficient Estimation of Equilibria in Large Aggregative Games with Coupling Constraints
Paulin Jacquot, Cheng Wan, Olivier Beaude +1
Aggregative games have many industrial applications, and computing an equilibrium in those games is challenging when the number of players is large. In the framework of atomic aggr…
Nonatomic Aggregative Games with Infinitely Many Types
Paulin Jacquot, Cheng Wan
We define and analyze the notion of variational Wardrop equilibrium for nonatomic aggregative games with an infinity of players types. These equilibria are characterized through an…
Peer-to-Peer Electricity Market Analysis: From Variational to Generalized Nash Equilibrium
Hélène Le Cadre, Paulin Jacquot, Cheng Wan +1
We consider a network of prosumers involved in peer-to-peer energy exchanges, with differentiation price preferences on the trades with their neighbors, and we analyze two market d…
Efficient Estimation of Equilibria of Large Congestion Games with Heterogeneous Players
Cheng Wan, Paulin Jacquot, Olivier Beaude +1
Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the…
Nonsmooth Aggregative Games with Coupling Constraints and Infinitely Many Classes of Players
Paulin Jacquot, Cheng Wan
After defining a pure-action profile in a nonatomic aggregative game, where players have specific compact convex pure-action sets and nonsmooth convex cost functions, as a square-i…