Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model
Joint Authors
Cánovas, Jose S.
Muñoz Guillermo, María
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-07
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Cánovas, Jose S.& Muñoz Guillermo, María. 2013. Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-495522
Modern Language Association (MLA)
Cánovas, Jose S.& Muñoz Guillermo, María. Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-495522
American Medical Association (AMA)
Cánovas, Jose S.& Muñoz Guillermo, María. Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-495522
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495522