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 - Dec 1 2010
Event2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
Duration: Dec 15 2010Dec 17 2010

Publication series

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

Other

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

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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] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2010.5717808