Distributed Nash equilibrium seeking for aggregative games with coupled constraints

S Liang, P Yi, Y Hong - Automatica, 2017 - Elsevier
In this paper, we study a distributed continuous-time design for aggregative games with
coupled constraints in order to seek the generalized Nash equilibrium by a group of agents …

Dynamic control of agents playing aggregative games with coupling constraints

S Grammatico - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
We address the problem to control a population of noncooperative heterogeneous agents,
each with convex cost function depending on the average population state, and all sharing a …

Differentially private distributed Nash equilibrium seeking for aggregative games

M Ye, G Hu, L **e, S Xu - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
This article considers the privacy-preserving distributed Nash equilibrium seeking strategy
design for average aggregative games, in which the players' objective functions are …

Decentralized convergence to Nash equilibria in constrained deterministic mean field control

S Grammatico, F Parise, M Colombino… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper considers decentralized control and optimization methodologies for large
populations of systems, consisting of several agents with different individual behaviors …

Distributed Nash equilibrium seeking for aggregative games with nonlinear dynamics under external disturbances

Y Zhang, S Liang, X Wang, H Ji - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, we study the distributed Nash equilibrium (NE) seeking problem for a class of
aggregative games with players described by uncertain perturbed nonlinear dynamics. To …

Distributed Nash equilibrium seeking in an aggregative game on a directed graph

Y Zhu, W Yu, G Wen, G Chen - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
An aggregative game with local constraint sets is studied in this article, where each player's
cost function is dependent on the aggregation function that is unavailable to all players. To …

Nash and Wardrop equilibria in aggregative games with coupling constraints

D Paccagnan, B Gentile, F Parise… - … on Automatic Control, 2018 - ieeexplore.ieee.org
We consider the framework of aggregative games, in which the cost function of each agent
depends on his own strategy and on the average population strategy. As first contribution …

A variational inequality framework for network games: Existence, uniqueness, convergence and sensitivity analysis

F Parise, A Ozdaglar - Games and Economic Behavior, 2019 - Elsevier
We provide a unified variational inequality framework for the study of fundamental properties
of the Nash equilibrium in network games. We identify several conditions on the underlying …

Distributed Nash equilibrium seeking under partial-decision information via the alternating direction method of multipliers

F Salehisadaghiani, W Shi, L Pavel - Automatica, 2019 - Elsevier
In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game
over generally connected networks. This model differs from a conventional setting in that …

Distributed generalized Nash equilibria computation of monotone games via double-layer preconditioned proximal-point algorithms

P Yi, L Pavel - IEEE Transactions on Control of Network …, 2018 - ieeexplore.ieee.org
In this paper, we investigate distributed generalized Nash equilibrium (GNE) computation of
monotone games with affine coupling constraints. Each player can only utilize its local …