Global Exponential Stability of Cournot Duopolies with Delays

被引：6

作者：

Chen, Wei ^{[1
]}

Wang, Wentao ^{[2
]}

机构：

[1] Shanghai Lixin Univ Commerce, Sch Math & Informat, Shanghai 201620, Peoples R China

[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

COMPUTATIONAL ECONOMICS | 2016年 / 48卷 / 01期

关键词：

Cournot duopolies; Delay; Exponential stability; Equilibrium; DYNAMICS; MODELS; GAME;

D O I：

10.1007/s10614-015-9503-x

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper is concerned with Cournot duopolies with delays. By employing a novel proof, some sufficient criteria are established to ensure the existence of positive solutions and global exponential stability of Cournot equilibrium, which are new and complement of previously known results. Moreover, an example and its numerical simulations are given to support the theoretical result.

引用

页码：147 / 154

页数：8

共 12 条

[1]

[Anonymous], REV EC STUDIES

[2]

[Anonymous], 1993, INTRO FUNCTIONAL DIF

[3]

Bischi G.-I., 2006, Chaos Comp. Lett, V2, P43

[4] Equilibrium selection in a nonlinear duopoly game with adaptive expectations [J].

Bischi, GI ;

Kopel, M .

JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 2001, 46 (01) :73-100

[5] On delayed dynamical duopoly [J].

Hassan, SZ .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :275-286

[6] COURNOT OLIGOPOLY MODELS WITH TIME DELAYS [J].

HOWROYD, TD ;

RUSSELL, AM .

JOURNAL OF MATHEMATICAL ECONOMICS, 1984, 13 (02) :97-103

[7] Simple and complex adjustment dynamics in Cournot duopoly models [J].

Kopel, M .

CHAOS SOLITONS & FRACTALS, 1996, 7 (12) :2031-2048

[8] Dynamics in Linear Cournot Duopolies with Two Time Delays [J].

Matsumoto, Akio ;

Szidarovszky, Ferenc ;

Yoshida, Hiroyuki .

COMPUTATIONAL ECONOMICS, 2011, 38 (03) :311-327

[9]

Okuguchi K., 2012, The theory of oligopoly with multi-product firms, V2

[10]

Okuguchi K., 1976, Expectations and stability in oligopoly models

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