“竞争对手具有时滞的动态Cournot混合寡头垄断模型”

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.13

Loredana Camelia Culda, E. Kaslik, M. Neamţu

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引用次数: 1

摘要

“本文分析了一个具有时滞的离散时间古诺博弈，其中考虑了一个上市公司和n个上市公司在市场上的相互作用。上市公司的产量是根据私营公司过去的产量水平进行调整的。同时，私营公司的产量也会根据上市公司的过去产量进行更新irm。为离散时间非线性数学模型确定了两个平衡点。稳定性分析表明，边界平衡点是鞍点，而正平衡点在某些条件下对任何时滞都是渐近稳定的。数值模拟说明了系统的复杂动态行为。“

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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"A dynamic Cournot mixed oligopoly model with time delay for competitors"

"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."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.