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 averaging integral Nash equilibrium seeking on networks

C De Persis, S Grammatico - Automatica, 2019 - Elsevier
Continuous-time gradient-based Nash equilibrium seeking algorithms enjoy a passivity
property under a suitable monotonicity assumption, which has been exploited to design …

Dynamic NE seeking for multi-integrator networked agents with disturbance rejection

AR Romano, L Pavel - IEEE Transactions on Control of …, 2019 - ieeexplore.ieee.org
In this paper, we consider game problems played by (multi)-integrator agents, subject to
external disturbances. We propose Nash equilibrium seeking dynamics based on gradient …

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 …

Fixed-time Nash equilibrium seeking in time-varying networks

JI Poveda, M Krstić, T Başar - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
In this article, we introduce first-order and zeroth-order Nash equilibrium seeking dynamics
with fixed-time and practical fixed-time convergence certificates for noncooperative games …

Geometric convergence of gradient play algorithms for distributed Nash equilibrium seeking

T Tatarenko, W Shi, A Nedić - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
We study distributed algorithms for seeking a Nash equilibrium in a class of convex
networked Nash games with strongly monotone mappings. Each player has access to her …

Adaptive approaches for fully distributed Nash equilibrium seeking in networked games

M Ye, G Hu - Automatica, 2021 - Elsevier
This paper considers the design of fully distributed Nash equilibrium seeking strategies for
networked games. To develop fully distributed seeking strategies, two adaptive control laws …

Distributed generalized Nash equilibrium seeking in aggregative games on time-varying networks

G Belgioioso, A Nedić… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We design the first fully distributed algorithm for generalized Nash equilibrium seeking in
aggregative games on a time-varying communication network, under partial-decision …

Distributed Nash equilibrium seeking under partial-decision information via the alternating direction method of multipliers

F Salehisadaghiani, W Shi, L Pavel - Automatica, 2019 - Elsevier
In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game
over generally connected networks. This model differs from a conventional setting in that …

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 …