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 distributed algorithm for almost-Nash equilibria of average aggregative games with coupling constraints

F Parise, B Gentile, J Lygeros - IEEE Transactions on Control of …, 2019 - ieeexplore.ieee.org
We consider the framework of average aggregative games, where the cost function of each
agent depends on his own strategy and on the average population strategy. We focus on the …

Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

D Paccagnan, B Gentile, F Parise… - 2016 IEEE 55th …, 2016 - ieeexplore.ieee.org
We analyse deterministic aggregative games, with large but finite number of players, that are
subject to both local and coupling constraints. Firstly, we derive sufficient conditions for the …

Network aggregative games: Distributed convergence to Nash equilibria

F Parise, B Gentile, S Grammatico… - 2015 54th IEEE …, 2015 - ieeexplore.ieee.org
We consider quasi-aggregative games for large populations of heterogeneous agents,
whose interaction is determined by an underlying communication network. Specifically, each …

On aggregative and mean field games with applications to electricity markets

D Paccagnan, M Kamgarpour… - 2016 European Control …, 2016 - ieeexplore.ieee.org
We study the existence and uniqueness of Nash equilibria for a certain class of aggregative
games with finite and possibly large number of players. Sufficient conditions for these are …

Distributed convergence to Nash equilibria in network and average aggregative games

F Parise, S Grammatico, B Gentile, J Lygeros - Automatica, 2020 - Elsevier
We consider network aggregative games where each player minimizes a cost function that
depends on its own strategy and on a convex combination of the strategies of its neighbors …

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 …

Tracking-based distributed equilibrium seeking for aggregative games

G Carnevale, F Fabiani, F Fele… - … on Automatic Control, 2024 - ieeexplore.ieee.org
We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games
over networks. We first consider the case where local constraints are present and we design …

Semi-decentralized generalized Nash equilibrium seeking in monotone aggregative games

G Belgioioso, S Grammatico - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
We address the generalized Nash equilibrium seeking problem for a population of agents
playing aggregative games with affine coupling constraints. We focus on semi-decentralized …

Distributed generalized Nash equilibrium seeking in aggregative games on time-varying networks

G Belgioioso, A Nedić… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We design the first fully distributed algorithm for generalized Nash equilibrium seeking in
aggregative games on a time-varying communication network, under partial-decision …