Complex dynamics and synchronization of a duopoly game with bounded rationality

被引：192

作者：

Agiza, HN ^{[1
]}

Hegazi, AS ^{[1
]}

Elsadany, AA ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2002年 / 58卷 / 02期

关键词：

duopoly games; non-linear demand function; bounded rationality; synchronization; natural Lyapunov exponents;

D O I：

10.1016/S0378-4754(01)00347-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A dynamic Cournot game characterized by players with bounded rationality is modeled by two non-linear difference equations. The stability of the equilibria of the discrete dynamical system is analyzed. As some parameters of the model are varied, the stability of Nash equilibrium is lost and the complex chaotic behavior occurs. Synchronization of two dynamic Cournot duopoly games are considered. In the case of identical players, such dynamical system becomes symmetric, and this implies that synchronized dynamics can be obtained by a simpler one-dimensional model whose dynamics summarizes the common behavior of the two identical players. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：133 / 146

页数：14

共 19 条

[1]

Abraham R. H., 1997, Chaos in Discrete Dynamical Systems, P41

[2] The dynamics of Bowley's model with bounded rationality [J].

Agiza, HN ;

Hegazi, AS ;

Elsadany, AA .

CHAOS SOLITONS & FRACTALS, 2001, 12 (09) :1705-1717

[3]

Agiza HN, 1999, MATH COMPUT SIMULAT, V51, P63, DOI 10.1016/S0378-4754(99)00106-8

[4] On modifications of Puu's dynamical duopoly [J].

Ahmed, E ;

Agiza, HN ;

Hassan, SZ .

CHAOS SOLITONS & FRACTALS, 2000, 11 (07) :1025-1028

[5] MEMORY EFFECTS IN DISCRETE DYNAMICAL SYSTEMS [J].

Aicardi, Francesca ;

Invernizzi, Sergio .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :815-830

[6] Synchronization, intermittency and critical curves in a duopoly game [J].

Bischi, GI ;

Stefanini, L ;

Gardini, L .

MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 44 (06) :559-585

[7]

BISCHI GI, 1999, DYNAMICS GAMES APPL, V5, pCH20

[8]

Bohm V., 1996, 320 BIEL U DEP EC

[9]

Deveney R. L., 1989, INTRO CHAOTIC DYNAMI

[10] A DOUBLE LOGISTIC MAP [J].

GARDINI, L ;

ABRAHAM, R ;

RECORD, RJ ;

FOURNIERPRUNARET, D .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (01) :145-176

← 1 2 →