Distributed Nash equilibrium seeking in games with partial decision information: A survey

M Ye, QL Han, L Ding, S Xu - Proceedings of the IEEE, 2023 - ieeexplore.ieee.org
Nash equilibrium, as an essential strategic profile in game theory, is of both practical
relevance and theoretical significance due to its wide penetration into various fields, such as …

Analysis and interventions in large network games

F Parise, A Ozdaglar - Annual Review of Control, Robotics, and …, 2021 - annualreviews.org
We review classic results and recent progress on equilibrium analysis, dynamics, and
optimal interventions in network games with both continuous and discrete strategy sets. We …

Online distributed algorithms for online noncooperative games with stochastic cost functions: high probability bound of regrets

K Lu - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
In this article, online noncooperative games without full decision information are studied,
where the goal of players is to seek the Nash equilibria in a distributed manner. Different …

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 …

Fixed point strategies in data science

PL Combettes, JC Pesquet - IEEE Transactions on Signal …, 2021 - ieeexplore.ieee.org
The goal of this article is to promote the use of fixed point strategies in data science by
showing that they provide a simplifying and unifying framework to model, analyze, and solve …

[HTML][HTML] Fast generalized Nash equilibrium seeking under partial-decision information

M Bianchi, G Belgioioso, S Grammatico - Automatica, 2022 - Elsevier
We address the generalized Nash equilibrium seeking problem in a partial-decision
information scenario, where each agent can only exchange information with some …

The geometry of monotone operator splitting methods

PL Combettes - Acta Numerica, 2024 - cambridge.org
We propose a geometric framework to describe and analyse a wide array of operator
splitting methods for solving monotone inclusion problems. The initial inclusion problem …

Distributed online aggregative optimization for dynamic multirobot coordination

G Carnevale, A Camisa… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This article focuses on an online version of the emerging distributed constrained
aggregative optimization framework, which is particularly suited for applications arising in …

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 …

Fully distributed Nash equilibrium seeking over time-varying communication networks with linear convergence rate

M Bianchi, S Grammatico - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
We design a distributed algorithm for learning Nash equilibria over time-varying
communication networks in a partial-decision information scenario, where each agent can …