期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 60, 期 11, 页码 2936-2952出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.09.054
关键词
Dynamic game; Cournot oligopoly; Nash equilibrium; Robust stability; Small gain
资金
- NSF [ECS-0093176, DMS-0906659]
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 a 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. (C) 2010 Elsevier Ltd. All rights reserved.
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