Complex dynamics and synchronization of a duopoly game with bounded rationality

被引：183
|
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
收藏
页码：133 / 146
页数：14
相关论文
共 50 条
  • [41] The effect of price discrimination on dynamic duopoly games with bounded rationality
    Song, Qi-Qing
    Zhang, Wei-li
    Jiang, Yi-Rong
    Geng, Juan
    [J]. STUDIES IN NONLINEAR DYNAMICS AND ECONOMETRICS, 2022, 26 (02): : 287 - 311
  • [42] Complex dynamics of a quantum Cournot duopoly game with two different objectives
    Wei, Longfei
    Liu, Lu
    Bao, Zhenhua
    [J]. QUANTUM INFORMATION PROCESSING, 2024, 23 (08)
  • [43] Complex Dynamics of a Cournot Quantum Duopoly Game with Memory and Heterogeneous Players
    Garcia-Perez, Luis
    Grau-Climent, Juan
    Alonso-Sanz, Ramon
    Losada, Juan C.
    [J]. ENTROPY, 2022, 24 (10)
  • [44] Complex dynamics of duopoly game in demand increasing and capacity constraints environment
    Yao Xun
    Tang Xiaowo
    [J]. PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON INNOVATION & MANAGEMENT, VOLS I AND II, 2007, : 976 - 982
  • [45] Dynamics of electricity market with bounded rationality Cournot game considering transmission constraints
    Yang, Hongming
    Liu, Zhengjun
    Lai, Mingyong
    [J]. IPEC: 2005 INTERNATIONAL POWER ENGINEERING CONFERENCE, VOLS 1 AND 2, 2005, : 450 - 455
  • [46] Dynamics of cournot game of electricity market with bounded rationality considering transmission constraints
    Yang, Hongming
    Zhou, Renjun
    Lai, Mingyong
    [J]. 2005/2006 IEEE/PES TRANSMISSION & DISTRIBUTION CONFERENCE & EXPOSITION, VOLS 1-3, 2006, : 511 - +
  • [47] Bounded rationality and unemployment dynamics
    Evans, David
    Evans, George W.
    McGough, Bruce
    [J]. ECONOMICS LETTERS, 2022, 210
  • [48] A dynamic duopoly model with bounded rationality based on constant conjectural variation
    Yu, Weisheng
    Yu, Yu
    [J]. ECONOMIC MODELLING, 2014, 37 : 103 - 112
  • [49] Chaos synchronization and intermittency in a duopoly game with spillover effects
    Bischi, GI
    Lamantia, F
    [J]. OLIGOPOLY DYNAMICS: MODELS AND TOOLS, 2002, : 195 - 217
  • [50] On the dynamics of a duopoly game with differentiated goods
    Sarafopoulos, Georges
    [J]. ECONOMIES OF BALKAN AND EASTERN EUROPE COUNTRIES IN THE CHANGED WORLD (EBEEC 2014), 2015, 19 : 146 - 153
12345