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 GNE seeking under partial-decision information over networks via a doubly-augmented operator splitting approach

L Pavel - IEEE Transactions on Automatic Control, 2019 - ieeexplore.ieee.org
We consider distributed computation of generalized Nash equilibrium (GNE) over networks,
in games with shared coupling constraints. Existing methods require that each player has …

Distributed generalized Nash equilibrium seeking for energy sharing games in prosumers

Z Wang, F Liu, Z Ma, Y Chen, M Jia… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
With the proliferation of distributed generators and energy storage systems, traditional
passive consumers in power systems have been gradually evolving into the so-called …

[HTML][HTML] Continuous-time fully distributed generalized Nash equilibrium seeking for multi-integrator agents

M Bianchi, S Grammatico - Automatica, 2021 - Elsevier
We consider strongly monotone games with convex separable coupling constraints, played
by dynamical agents, in a partial-decision information scenario. We start by designing …

[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 …

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 map**s. Each player has access to her …

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 …

Single-timescale distributed GNE seeking for aggregative games over networks via forward–backward operator splitting

D Gadjov, L Pavel - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
We consider aggregative games with affine coupling constraints, where agents have partial
information on the aggregate value and can only communicate with neighboring agents. We …

Distributed optimal resource allocation over strongly connected digraphs: A surplus-based approach

G Chen, Z Li - Automatica, 2021 - Elsevier
In this brief, a surplus-based approach is proposed to solve the distributed optimal resource
allocation problem over directed graphs. Two features distinguish our method from the …