Distributed optimization for control

A Nedić, J Liu - Annual Review of Control, Robotics, and …, 2018 - annualreviews.org
Advances in wired and wireless technology have necessitated the development of theory,
models, and tools to cope with the new challenges posed by large-scale control and …

Game theory and control

JR Marden, JS Shamma - Annual review of control, robotics …, 2018 - annualreviews.org
Game theory is the study of decision problems in which there are multiple decision makers
and the quality of a decision maker's choice depends on both that choice and the choices of …

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 …

Network topology and communication-computation tradeoffs in decentralized optimization

A Nedić, A Olshevsky, MG Rabbat - Proceedings of the IEEE, 2018 - ieeexplore.ieee.org
In decentralized optimization, nodes cooperate to minimize an overall objective function that
is the sum (or average) of per-node private objective functions. Algorithms interleave local …

Distributed Nash equilibrium seeking by a consensus based approach

M Ye, G Hu - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
In this paper, Nash equilibrium seeking among a network of players is considered. Different
from many existing works on Nash equilibrium seeking in noncooperative games, the …

Distributed algorithms for aggregative games on graphs

J Koshal, A Nedić, UV Shanbhag - Operations Research, 2016 - pubsonline.informs.org
We consider a class of Nash games, termed as aggregative games, being played over a
networked system. In an aggregative game, a player's objective is a function of the …

A passivity-based approach to Nash equilibrium seeking over networks

D Gadjov, L Pavel - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
In this paper, we consider the problem of distributed Nash equilibrium (NE) seeking over
networks, a setting in which players have limited local information on the others' decisions …

Distributed Nash equilibrium seeking for aggregative games with coupled constraints

S Liang, P Yi, Y Hong - Automatica, 2017 - Elsevier
In this paper, we study a distributed continuous-time design for aggregative games with
coupled constraints in order to seek the generalized Nash equilibrium by a group of agents …

Distributed Nash equilibrium seeking: A gossip-based algorithm

F Salehisadaghiani, L Pavel - Automatica, 2016 - Elsevier
This paper presents an asynchronous gossip-based algorithm for finding a Nash equilibrium
(NE) of a game in a distributed multi-player network. The algorithm is designed in such a …

Characterization and computation of local Nash equilibria in continuous games

LJ Ratliff, SA Burden, SS Sastry - 2013 51st Annual Allerton …, 2013 - ieeexplore.ieee.org
We present derivative-based necessary and sufficient conditions ensuring player strategies
constitute local Nash equilibria in non-cooperative continuous games. Our results can be …