Dynamical analysis of a Cournot duopoly model - Egyptian Knowledge Bank

387529

Dynamical analysis of a Cournot duopoly model

Article

Last updated: 31 Dec 2024

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Abstract

In this paper, two different mechanisms are used to study a homogeneous Cournot
duopoly in a market characterized by the downward sloping and concave price function. Two firms,
which have constant marginal costs, use adaptive, low-rationality mechanisms to adjust their produc-
tion levels toward equilibrium. In particular, the stability of the equilibrium for two different mechanisms
is studied. However, complex dynamics arise, especially when the reaction coefficient increases.
Finally, we compare the obtained results of the two models.

DOI

10.1016/j.joems.2016.03.005

Keywords

Cournot model, Bounded Rationality, Equilibrium solutions, Asymptotic stability, Bifurcation, Chaos

Authors

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First Name

Last Name

Elettreby

MiddleName

Affiliation

Mathematics Department, Faculty of Science, King Khalid University, Abha 9004, Saudi Arabia , b Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

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City

Orcid

Volume

Article Issue

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

681

Page End

686

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 681-686.pdf

PDF . 610.3kB

Link

https://joems.journals.ekb.eg/article_387529.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387529

Order

387,529

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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