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Complex Dynamics in Nonlinear Triopoly Market with Different Expectations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A dynamic triopoly game characterized by firms with different expectations is modeled by three-dimensional nonlinear difference equations, where the market has quadratic inverse demand function and the firm possesses cubic total cost function.
The local stability of Nash equilibrium is studied.
Numerical simulations are presented to show that the triopoly game model behaves chaotically with the variation of the parameters.
We obtain the fractal dimension of the strange attractor, bifurcation diagrams, and Lyapunov exponents of the system.
American Psychological Association (APA)
Ma, Junhai& Pu, Xiaosong. 2011. Complex Dynamics in Nonlinear Triopoly Market with Different Expectations. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-506605
Modern Language Association (MLA)
Ma, Junhai& Pu, Xiaosong. Complex Dynamics in Nonlinear Triopoly Market with Different Expectations. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-506605
American Medical Association (AMA)
Ma, Junhai& Pu, Xiaosong. Complex Dynamics in Nonlinear Triopoly Market with Different Expectations. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-506605
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506605