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 …

Distributed Nash equilibrium seeking: Continuous-time control-theoretic approaches

G Hu, Y Pang, C Sun, Y Hong - IEEE Control Systems …, 2022 - ieeexplore.ieee.org
Game theory, which studies the cooperation and conflict among multiple rational decision
makers, called players, can be utilized to analyze a large class of engineering systems (for …

Distributed Nash equilibrium seeking over time-varying directed communication networks

DTA Nguyen, DT Nguyen, A Nedić - arXiv preprint arXiv:2201.02323, 2022 - arxiv.org
We study distributed algorithms for finding a Nash equilibrium (NE) in a class of non-
cooperative convex games under partial information. Specifically, each agent has access …

The END: Estimation Network Design for games under partial-decision information

M Bianchi, S Grammatico - IEEE Transactions on Control of …, 2024 - ieeexplore.ieee.org
Multi-agent decision problems are typically solved via distributed iterative algorithms, where
the agents only communicate between themselves on a peerto-peer network. Each agent …

Distributed Nash equilibrium computation under round-robin scheduling protocol

Z Feng, W Xu, J Cao - IEEE Transactions on Automatic Control, 2023 - ieeexplore.ieee.org
This article is concerned with distributed Nash equilibrium (NE) problem for multiplayer
games under the Round-Robin (RR) protocol. For the purpose of effectively mitigating data …

Geometric convergence of distributed heavy-ball Nash equilibrium algorithm over time-varying digraphs with unconstrained actions

DTA Nguyen, DT Nguyen… - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
This letter presents a new distributed algorithm that leverages heavy-ball momentum and a
consensus-based gradient method to find a Nash equilibrium (NE) in a class of non …

Linear convergent distributed Nash equilibrium seeking with compression

X Chen, Y Wu, X Yi, M Huang, L Shi - arXiv preprint arXiv:2211.07849, 2022 - arxiv.org
Information compression techniques are majorly employed to address the concern of
reducing communication cost over peer-to-peer links. In this paper, we investigate …

A distributed coding-decoding-based Nash equilibrium seeking algorithm over directed communication network

XP Rao, WY Xu, SF Yang, WW Yu - Science China Technological …, 2023 - Springer
This paper is concerned with the distributed Nash equilibrium (NE) computation problem for
non-cooperative games subject to partial-decision information. For the purpose of …

Nash equilibrium seeking over digraphs with row-stochastic matrices and network-independent step-sizes

DTA Nguyen, M Bianchi, F Dörfler… - IEEE Control …, 2023 - ieeexplore.ieee.org
In this letter, we address the challenge of Nash equilibrium (NE) seeking in non-cooperative
convex games with partial-decision information. We propose a distributed algorithm, where …

Event-triggered distributed Nash equilibrium seeking over directed graphs and its application to power management

R Yu, M Meng, L Li - Journal of the Franklin Institute, 2023 - Elsevier
In this paper, the problem of distributed discrete-time Nash equilibrium computation with
event-triggered communication over directed graphs is studied. Each agent can only receive …