Operationally-safe peer-to-peer energy trading in distribution grids: A game-theoretic market-clearing mechanism

G Belgioioso, W Ananduta… - … on Smart Grid, 2022 - ieeexplore.ieee.org
In future distribution grids, prosumers (ie, energy consumers with storage and/or production
capabilities) will trade energy with each other and with the main grid. To ensure an efficient …

Distributed generalized Nash equilibrium seeking: An operator-theoretic perspective

G Belgioioso, P Yi, S Grammatico… - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
Generalized games model interactions between a set of selfish decision makers, called
players or agents, where both the objective function and the feasible decision set of each …

Online feedback equilibrium seeking

G Belgioioso, D Liao-McPherson… - … on Automatic Control, 2024 - ieeexplore.ieee.org
This article proposes a unifying design framework for dynamic feedback controllers that track
solution trajectories of time-varying generalized equations, such as local minimizers of …

Distributed generalized Nash equilibrium seeking: A backward-reflected-forward-backward-based algorithm

Z Zheng, H Li, Y Niu, E Su, L Feng - Journal of the Franklin Institute, 2024 - Elsevier
This paper studies non-cooperative games, in which each player's local objective function
depends on its own decisions as well as those of other players. In these games, each …

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 …

Distributed Nash equilibrium seeking for constrained multi-cluster games of second-order nonlinear multi-agent systems

Z Deng, T Chen - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
This article investigates multicluster games (MCGs) of multiagent systems, where the players
are subject to nonlinear inequality constraints. In contrast to existing MCGs, our problem …

First-order algorithms for nonlinear generalized Nash equilibrium problems

MI Jordan, T Lin, M Zampetakis - Journal of Machine Learning Research, 2023 - jmlr.org
We consider the problem of computing an equilibrium in a class of nonlinear generalized
Nash equilibrium problems (NGNEPs) in which the strategy sets for each player are defined …

Distributed generalized Nash equilibrium seeking: event-triggered coding-decoding-based secure communication

S Yang, W Xu, W He, J Cao - Science China Information Sciences, 2024 - Springer
In this paper, we consider the distributed generalized Nash equilibrium (GNE) seeking
problem in strongly monotone games. The transmission among players is implemented …

Hierarchical noncooperative dynamical systems under intra-group and inter-group incentives

Y Yan, T Hayakawa - IEEE Transactions on Control of Network …, 2023 - ieeexplore.ieee.org
In this article, a framework for hierarchical noncooperative systems with dynamic agents is
proposed. In the characterized framework, agents in each group are incentivized by a …

Ensuring both almost sure convergence and differential privacy in Nash equilibrium seeking on directed graphs

Y Wang, T Başar - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
We propose a distributed Nash equilibrium seeking approach that can achieve both almost
sure convergence and rigorous differential privacy with finite cumulative privacy budget …