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 …

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 …

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 …

A Douglas-Rachford splitting for semi-decentralized equilibrium seeking in generalized aggregative games

G Belgioioso, S Grammatico - 2018 IEEE Conference on …, 2018 - ieeexplore.ieee.org
We address the generalized aggregative equilibrium seeking problem for noncooperative
agents playing average aggregative games with affine coupling constraints. First, we use …

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 …

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 …

Semi-decentralized Nash equilibrium seeking in aggregative games with separable coupling constraints and non-differentiable cost functions

G Belgioioso, S Grammatico - IEEE control systems letters, 2017 - ieeexplore.ieee.org
We study the Nash equilibrium seeking problem for noncooperative agents whose decision
making process can be modeled as a generalized aggregative game. Specifically, we …

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 …

Efficient algorithm for approximating Nash equilibrium of distributed aggregative games

G Xu, G Chen, H Qi, Y Hong - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we aim to design a distributed approximate algorithm for seeking Nash
equilibria (NE) of an aggregative game. Due to the local set constraints of each player …