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
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7425-7430
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717808
State	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: Dec 15 2010 → Dec 17 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
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

Cite this

Karafyllis, I., Jiang, Z. P., & 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 (pp. 7425-7430). [5717808] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717808

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. Institute of Electrical and Electronics Engineers Inc., 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, Institute of Electrical and Electronics Engineers Inc., pp. 7425-7430, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717808

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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.",

author = "Iasson Karafyllis and Jiang, {Zhong Ping} and George Athanasiou",

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

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ASJC Scopus subject areas

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