A Bertrand Duopoly Game with Long-Memory Effects
Joint Authors
Xin, Baogui
Cao, Fangrui
Peng, Wei
Elsadany, A. A.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Reconsidering the Bertrand duopoly game based on the concept of long short-term memory, we construct a fractional-order Bertrand duopoly game by extending the integer-order game to its corresponding fractional-order form.
We build such a Bertrand duopoly game, in which both players can make their decisions with long-memory effects.
Then, we investigate its Nash equilibria, local stability, and numerical solutions.
Using the bifurcation diagram, the phase portrait, time series, and the 0-1 test for chaos, we numerically validate these results and illustrate its complex phenomena, such as bifurcation and chaos.
American Psychological Association (APA)
Xin, Baogui& Cao, Fangrui& Peng, Wei& Elsadany, A. A.. 2020. A Bertrand Duopoly Game with Long-Memory Effects. Complexity،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1140040
Modern Language Association (MLA)
Xin, Baogui…[et al.]. A Bertrand Duopoly Game with Long-Memory Effects. Complexity No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1140040
American Medical Association (AMA)
Xin, Baogui& Cao, Fangrui& Peng, Wei& Elsadany, A. A.. A Bertrand Duopoly Game with Long-Memory Effects. Complexity. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1140040
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140040