9 citations · 14 across the 9 of their papers we have counts for
14 papers
Large-scale nonconvex optimization: randomization, gap estimation, and numerical resolution
J. Frédéric Bonnans, Kang Liu, Nadia Oudjane +2
We address a large-scale and nonconvex optimization problem, involving an aggregative term. This term can be interpreted as the sum of the contributions of N agents to some common…
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…
A privacy-preserving distributed computational approach for distributed locational marginal prices
Olivier Bilenne, Paulin Jacquot, Nadia Oudjane +3
An important issue in today's electricity markets is the management of flexibilities offered by new practices, such as smart home appliances or electric vehicles. By inducing chang…
Approximate Nash equilibria in large nonconvex aggregative games
Kang Liu, Nadia Oudjane, Cheng Wan
This paper shows the existence of -Nash equilibria in -player noncooperative sum-aggregative games in which the players' cost functions, depending on…
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…
Routing Game on Parallel Networks: the Convergence of Atomic to Nonatomic
Paulin Jacquot, Cheng Wan
We consider an instance of a nonatomic routing game. We assume that the network is parallel, that is, constituted of only two nodes, an origin and a destination. We consider infini…
Composite charging games in networks of electric vehicles
Olivier Beaude, Cheng Wan, Samson Lasaulce
An important scenario for smart grids which encompass distributed electrical networks is given by the simultaneous presence of aggregators and individual consumers. In this work, a…
Strategic decentralization in binary choice composite congestion games
Cheng Wan
This paper studies strategic decentralization in binary choice composite network congestion games. A player decentralizes if she lets some autonomous agents to decide respectively…
Finite composite games: Equilibria and dynamics
Sylvain Sorin, Cheng Wan
We study games with finitely many participants, each having finitely many choices. We consider the following categories of participants: (I) populations: sets of nonatomic agents,…
Coalitions in nonatomic network congestion games
Cheng Wan
This work shows that the formation of a finite number of coalitions in a nonatomic network congestion game benefits everyone. At the equilibrium of the composite game played by coa…