Nash equilibrium and robust stability in dynamic games

A small-gain perspective

Iasson Karafyllis, Zhong-Ping Jiang, George Athanasiou

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
Pages7425-7430
Number of pages6
DOIs
StatePublished - 2010
Event2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
Duration: Dec 15 2010Dec 17 2010

Other

Other2010 49th IEEE Conference on Decision and Control, CDC 2010
CountryUnited States
CityAtlanta, GA
Period12/15/1012/17/10

Fingerprint

Dynamic Games
Difference equations
Robust Stability
Asymptotic stability
Control theory
Equilibrium Point
Nash Equilibrium
Functional Difference Equation
Economics
Economic Model
Global Asymptotic Stability
Control Theory
Uniqueness
Methodology
Robust stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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] 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. 2010. p. 7425-7430 5717808.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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., 5717808, 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
Karafyllis I, Jiang Z-P, 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. 2010. p. 7425-7430. 5717808 https://doi.org/10.1109/CDC.2010.5717808
Karafyllis, Iasson ; Jiang, Zhong-Ping ; Athanasiou, George. / Nash equilibrium and robust stability in dynamic games : A small-gain perspective. 2010 49th IEEE Conference on Decision and Control, CDC 2010. 2010. pp. 7425-7430
@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 Zhong-Ping Jiang and George Athanasiou",
year = "2010",
doi = "10.1109/CDC.2010.5717808",
language = "English (US)",
isbn = "9781424477456",
pages = "7425--7430",
booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

}

TY - GEN

T1 - Nash equilibrium and robust stability in dynamic games

T2 - A small-gain perspective

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

SN - 9781424477456

SP - 7425

EP - 7430

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

ER -