Karafyllis, Iasson and Jiang, ZhongPing and Athanasiou, George (2010): Nash Equilibrium and Robust Stability in Dynamic Games: A SmallGain Perspective. Published in: Computers and Mathematics with Applications , Vol. 60, No. 11 (1. December 2010): pp. 29362952.

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Abstract
This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Smallgain 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. Specification to a Cournot oligopoly game is studied in detail to demonstrate the power of the proposed methodology.
Item Type:  MPRA Paper 

Original Title:  Nash Equilibrium and Robust Stability in Dynamic Games: A SmallGain Perspective 
English Title:  Nash Equilibrium and Robust Stability in Dynamic Games: A SmallGain Perspective 
Language:  English 
Keywords:  Dynamic game; Cournot oligopoly; Nash equilibrium; Robust stability; Small gain 
Subjects:  C  Mathematical and Quantitative Methods > C0  General C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C70  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium 
Item ID:  26890 
Depositing User:  George Athanasiou 
Date Deposited:  29. Dec 2010 20:33 
Last Modified:  31. Dec 2015 00:29 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/26890 