Nash equilibrium and robust stability in dynamic games: A small-gain perspective

Iasson Karafyllis; Zhong Ping Jiang; George Athanasiou

doi:10.1109/CDC.2010.5717808

Nash equilibrium and robust stability in dynamic games: A small-gain perspective

Iasson Karafyllis, Zhong Ping Jiang, George Athanasiou

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash equilibrium point for economic models described by functional difference equations.

Original language	English (US)
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Pages	7425-7430
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2010.5717808
State	Published - 2010
Event	2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States Duration: Dec 15 2010 → Dec 17 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Other

Other	2010 49th IEEE Conference on Decision and Control, CDC 2010
Country	United States
City	Atlanta, GA
Period	12/15/10 → 12/17/10

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2010.5717808

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Nash equilibrium and robust stability in dynamic games : A small-gain perspective. / Karafyllis, Iasson; Jiang, Zhong Ping; Athanasiou, George.

2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. p. 7425-7430 5717808 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Karafyllis, I, Jiang, ZP & Athanasiou, G 2010, Nash equilibrium and robust stability in dynamic games: A small-gain perspective. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717808, Proceedings of the IEEE Conference on Decision and Control, pp. 7425-7430, 2010 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, GA, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717808

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