IRI - On distributed Nash equilibrium seeking in a class of contractive population games

Publication

On distributed Nash equilibrium seeking in a class of contractive population games

Journal Article (2022)

Journal

IEEE Control Systems Letters

Pages

2972-2977

Volume

Doc link

http://dx.doi.org/10.1109/LCSYS.2022.3182625

File

Download the digital copy of the doc pdf document

Authors

Projects associated

L-BEST: Supervision and fault-tolerant control of smart infrastructures based on advanced learning and optimization

Abstract

In this letter, we consider the framework of population games and evolutionary dynamics. Based on such a framework, we formulate a novel approach for distributed Nash equilibrium seeking under partial-decision information for a class of evolutionary dynamics and a family of contractive population games. As the main contribution, we provide sufficient conditions to guarantee the asymptotic stability of the set of Nash equilibria of the underlying game. To the best of our knowledge, this is the first paper to address the problem of distributed Nash equilibrium seeking under partial-decision information in the aforementioned context of population games and evolutionary dynamics.

Author keywords

game theory

Scientific reference

J.P. Martínez, C. Ocampo-Martínez and N. Quijano. On distributed Nash equilibrium seeking in a class of contractive population games. IEEE Control Systems Letters, 6: 2972-2977, 2022.