"A dynamic Cournot mixed oligopoly model with time delay for competitors"
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Published:2022-07-26
Issue:3
Volume:38
Page:681-690
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ISSN:1584-2851
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Container-title:Carpathian Journal of Mathematics
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language:
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Short-container-title:CJM
Author:
CULDA LOREDANA CAMELIA, ,KASLIK EVA,NEAMŢU MIHAELA, , ,
Abstract
"This paper deals with the analysis of a discrete-time Cournot game with time delay, where the interactions of one public firm and n private firms on the market are considered. The production of the public firm is adjusted based on the past production levels of the private firms. At the same time, the productions of the private firms are updated with respect to the past production of the public firm. Two equilibrium points are determined for the discrete-time nonlinear mathematical model. The analysis of the stability reveals that the boundary equilibrium point is a saddle point, while the positive one, under some conditions, is asymptotically stable for any time delays. Numerical simulations illustrate the complex dynamic behaviour of the system."
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics
Cited by
1 articles.
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1. Stability properties of a Cournot-type oligopoly model with time delay;Annals of West University of Timisoara - Mathematics and Computer Science;2023-06-01