Dynamics of a Duopoly Game with Two Different Delay Structures
Joint Authors
Jiang, Shumin
Xu, Fei
Ding, Zhanwen
Yang, Chen
Liu, Huanhuan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Two different time delay structures for the dynamical Cournot game with two heterogeneous players are considered in this paper, in which a player is assumed to make decision via his marginal profit with time delay and another is assumed to adjust strategy according to the delayed price.
The dynamics of both players output adjustments are analyzed and simulated.
The time delay for the marginal profit has more influence on the dynamical behaviors of the system while the market price delay has less effect, and an intermediate level of the delay weight for the marginal profit can expand the stability region and thus promote the system stability.
It is also shown that the system may lose stability due to either a period-doubling bifurcation or a Neimark-Sacker bifurcation.
Numerical simulations show that the chaotic behaviors can be stabilized by the time-delayed feedback control, and the two different delays play different roles on the system controllability: the delay of the marginal profit has more influence on the system control than the delay of the market price.
American Psychological Association (APA)
Jiang, Shumin& Xu, Fei& Ding, Zhanwen& Yang, Chen& Liu, Huanhuan. 2017. Dynamics of a Duopoly Game with Two Different Delay Structures. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151195
Modern Language Association (MLA)
Jiang, Shumin…[et al.]. Dynamics of a Duopoly Game with Two Different Delay Structures. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1151195
American Medical Association (AMA)
Jiang, Shumin& Xu, Fei& Ding, Zhanwen& Yang, Chen& Liu, Huanhuan. Dynamics of a Duopoly Game with Two Different Delay Structures. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151195
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151195