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

Karafyllis I, Jiang ZP, Athanasiou G. Nash equilibrium and robust stability in dynamic games: A small-gain perspective. In 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). https://doi.org/10.1109/CDC.2010.5717808

@inproceedings{6510be8daa3f4d8dbd8d25c84a090023,

title = "Nash equilibrium and robust stability in dynamic games: A small-gain perspective",

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",

year = "2010",

doi = "10.1109/CDC.2010.5717808",

language = "English (US)",

isbn = "9781424477456",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "7425--7430",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

}

TY - GEN

T1 - Nash equilibrium and robust stability in dynamic games

T2 - 49th IEEE Conference on Decision and Control, CDC 2010

AU - Karafyllis, Iasson

AU - Jiang, Zhong Ping

AU - Athanasiou, George

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79953145122&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953145122&partnerID=8YFLogxK

U2 - 10.1109/CDC.2010.5717808

DO - 10.1109/CDC.2010.5717808

M3 - Conference contribution

AN - SCOPUS:79953145122

SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 7425

EP - 7430

BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 15 December 2010 through 17 December 2010

ER -

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

Abstract

Publication series

Conference

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this