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2013 Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality
Junhai Ma, Hongwu Wang
Abstr. Appl. Anal. 2013(SI41): 1-11 (2013). DOI: 10.1155/2013/251702

Abstract

A Cournot-Bertrand mixed duopoly game model is constructed. The existence and local stable region of the Nash equilibria point are investigated. Complex dynamic properties such as bifurcation and route to chaos are analyzed using parameter basin plots. The strange attractors are also studied when the system is in chaotic states. Furthermore, considering the memory of the market, a delayed Cournot-Bertrand mixed model is considered and the results show that the delayed system has the same Nash equilibrium and has a higher chance of reaching steady states or cycles than the model without delay. So making full use of the historical data can improve the system’s stability.

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Junhai Ma. Hongwu Wang. "Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality." Abstr. Appl. Anal. 2013 (SI41) 1 - 11, 2013. https://doi.org/10.1155/2013/251702

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1291.91156
MathSciNet: MR3121512
Digital Object Identifier: 10.1155/2013/251702

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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