Title :
Nash equilibrium and robust stability in dynamic games: A small-gain perspective
Author :
Karafyllis, Iasson ; Jiang, Zhong-Ping ; Athanasiou, George
Author_Institution :
Environ. Eng. Dept., Tech. Univ. of Crete, Chania, Greece
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.
Keywords :
asymptotic stability; difference equations; game theory; Nash equilibrium points; dynamic games; functional difference equations; global asymptotic stability; robust stability properties; small-gain techniques; Asymptotic stability; Biological system modeling; Games; Mathematical model; Nash equilibrium; Silicon; Tin;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717808
