Dynamics of Hotelling triopoly model with bounded rationality

被引：20
作者：
Peng, Yu [1 ,2 ]
Lu, Qian [1 ,2 ]
Wu, Xue [1 ]
Zhao, Yueru [1 ]
Xiao, Yue [3 ]
机构：
[1] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621010, Sichuan, Peoples R China
[2] Southwest Univ Sci & Technol, Inst Modeling & Algorithm, Mianyang 621010, Sichuan, Peoples R China
[3] Univ Sci & Technol China, Sch Management, Hefei 230026, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 373卷
关键词：
Hotelling triopoly model; Bounded rationality; Bifurcation; Chaos control; DUOPOLY STACKELBERG GAME; COMPLEX DYNAMICS; NONLINEAR DYNAMICS; CHAOTIC DYNAMICS; COURNOT; COMPETITION; STABILITY; MARKET;
D O I：
10.1016/j.amc.2019.125027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is devoted to introduce and research a triopoly Hotelling model with a triangular market in this paper. Based on bounded rationality, a three-dimensional discrete dynamical system is formulated. The complex dynamics which occur in the process of chaotic evolution have been investigated. The solution of Nash equilibrium gives rise to complicated phenomena as some parameters of the model are varied. Some numerical simulations are used to portray such chaotic behavior. Furthermore, proper control scheme is applied to keep the system from instability and chaos, which is also supported by some simulations. (C) 2019 Elsevier Inc. All rights reserved.
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页数：11
相关论文
共 38 条
  • [1] Chaotic dynamics in nonlinear duopoly game with heterogeneous players
    Agiza, HN
    Elsadany, AA
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) : 843 - 860
  • [2] Nonlinear dynamics in the Cournot duopoly game with heterogeneous players
    Agiza, HN
    Elsadany, AA
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 320 : 512 - 524
  • [3] Complex dynamics and synchronization of a duopoly game with bounded rationality
    Agiza, HN
    Hegazi, AS
    Elsadany, AA
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2002, 58 (02) : 133 - 146
  • [4] The dynamics of Bowley's model with bounded rationality
    Agiza, HN
    Hegazi, AS
    Elsadany, AA
    [J]. CHAOS SOLITONS & FRACTALS, 2001, 12 (09) : 1705 - 1717
  • [5] Nonlinear dynamics of a Cournot duopoly game with differentiated products
    Agliari, A.
    Naimzada, A. K.
    Pecora, N.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 281 : 1 - 15
  • [6] Global bifurcations of basins in a triopoly game
    Agliari, A
    Gardini, L
    Puu, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (10): : 2175 - 2207
  • [7] On Bertrand duopoly game with differentiated goods
    Ahmed, E.
    Elsadany, A. A.
    Puu, Tonu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 251 : 169 - 179
  • [8] On modifications of Puu's dynamical duopoly
    Ahmed, E
    Agiza, HN
    Hassan, SZ
    [J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (07) : 1025 - 1028
  • [9] Algliari A, 2000, CHAOS SOLITON FRACT, V11, P2531
  • [10] Nonlinear Cournot and Bertrand-type dynamic triopoly with differentiated products and heterogeneous expectations
    Andaluz, J.
    Elsadany, A. A.
    Jarne, G.
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 132 : 86 - 99
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