Local Stackelberg equilibrium seeking in generalized aggregative games

F Fabiani, MA Tajeddini, H Kebriaei… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We propose a two-layer, semidecentralized algorithm to compute a local solution to the
Stackelberg equilibrium problem in aggregative games with coupling constraints …

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 …

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 …

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 …

On finding the leader's strategy in quadratic aggregative stackelberg pricing games

M Maljkovic, G Nilsson… - 2023 European Control …, 2023 - ieeexplore.ieee.org
This paper analyzes a class of Stackelberg games where different actors compete for shared
resources and a central authority tries to balance the demand through a pricing mechanism …

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 …

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 …

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 …

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 …