Open Access
2013 Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model
Jose S. Cánovas, María Muñoz Guillermo
Abstr. Appl. Anal. 2013(SI41): 1-18 (2013). DOI: 10.1155/2013/747868


We study the duopoly model proposed by Matsumoto and Nonaka (2006), in which two firms produce two complementary goods, and there are externalities of different signs. We analyze the topological complexity of the model by computing its topological entropy with prescribed accuracy, and, in addition, we show when such topological complexity is physically observable by characterizing the attractors. Finally, we exploit the fact that reaction maps have negative Schwarzian derivative to show the existence of absolutely continuous (with respect to Lebesgue measure) ergodic measures, and, as an economic application, we compute the average profit for almost all initial conditions.


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Jose S. Cánovas. María Muñoz Guillermo. "Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model." Abstr. Appl. Anal. 2013 (SI41) 1 - 18, 2013.


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

zbMATH: 07095323
MathSciNet: MR3111808
Digital Object Identifier: 10.1155/2013/747868

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI41 • 2013
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