Mathematics – Dynamical Systems
Scientific paper
2010-01-09
Mathematics
Dynamical Systems
Scientific paper
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. Specification to a Cournot oligopoly game is studied in detail to demonstrate the power of the proposed methodology.
Athanasiou George
Jiang Zhong-Ping
Karafyllis Iasson
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