Continuous-time integral dynamics for aggregative game equilibrium seeking

C De Persis, S Grammatico - 2018 European Control …, 2018 - ieeexplore.ieee.org
In this paper, we consider continuous-time semi-decentralized dynamics for the equilibrium
computation in a class of aggregative games. Specifically, we propose a scheme where …

Continuous-time integral dynamics for a class of aggregative games with coupling constraints

C De Persis, S Grammatico - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
We consider continuous-time equilibrium seeking in a class of aggregative games with
strongly convex cost functions and affine coupling constraints. We propose simple …

Continuous-time integral dynamics for monotone aggregative games with coupling constraints

C De Persis, S Grammatico - arXiv preprint arXiv:1805.03270, 2018 - arxiv.org
We consider continuous-time equilibrium seeking in monotone aggregative games with
coupling constraints. We propose semi-decentralized integral dynamics and prove their …

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 …

Projected-gradient algorithms for generalized equilibrium seeking in aggregative games arepreconditioned forward-backward methods

G Belgioioso, S Grammatico - 2018 European Control …, 2018 - ieeexplore.ieee.org
We show that projected-gradient methods for the distributed computation of generalized
Nash equilibria in aggregative games are preconditioned forward-backward splitting …

On the optimal selection of generalized Nash equilibria in linearly coupled aggregative games

E Benenati, W Ananduta… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
Monotone aggregative games may admit multiple (variational) generalized Nash equilibria,
yet currently there is no algorithm able to provide an a-priori characterization of the …

Networked aggregative games with linear convergence

R Zhu, J Zhang, K You - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
This paper considers a networked aggregative game (NAG) where the players are
distributed over a communication network. By only communicating with a subset of players …

Distributed computation of Nash equilibria for monotone aggregative games via iterative regularization

J Lei, UV Shanbhag, J Chen - 2020 59th IEEE conference on …, 2020 - ieeexplore.ieee.org
This work considers an aggregative game over time-varying graphs, where each player's
cost function depends on its own strategy and the aggregate of its competitors' strategies …

Distributed ϵ-Nash equilibrium seeking in aggregative games with approximation

G Xu, G Chen, H Qi, Y Hong - 2022 American Control …, 2022 - ieeexplore.ieee.org
In this paper, we aim to design a distributed approximate algorithm for seeking Nash
equilibria of an aggregative game. Because players' actions are constrained by local …