Quantum Model of Bertrand Duopoly

被引:24
|
作者
Khan, Salman [1 ]
Ramzan, M. [1 ]
Khan, M. K. [1 ]
机构
[1] Quaid I Azam Univ, Dept Phys, Islamabad 45320, Pakistan
关键词
STACKELBERG DUOPOLY; GAMES;
D O I
10.1088/0256-307X/27/8/080302
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a quantum model of Bertrand duopoly and study the entanglement behavior on the profit functions of the firms. Using the concept of optimal response of each firm to the price of the opponent, we find only one Nash equilibirum point for the maximally entangled initial state. The presence of quantum entanglement in the initial state gives payoffs higher to the firms than the classical payoffs at the Nash equilibrium. As a result, the dilemma-like situation in the classical game is resolved.
引用
收藏
页数:4
相关论文
共 50 条
  • [31] Cournot-Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost
    Askar, S. S.
    Alshamrani, Ahmed M.
    COMPLEXITY, 2024, 2024
  • [32] Asymmetric Model of the Quantum Stackelberg Duopoly
    王霞
    柳迪
    张俊佩
    Chinese Physics Letters, 2013, 30 (12) : 13 - 16
  • [33] Asymmetric Model of the Quantum Stackelberg Duopoly
    Wang Xia
    Liu Di
    Zhang Jun-Pei
    CHINESE PHYSICS LETTERS, 2013, 30 (12)
  • [34] Evaluating all Bertrand-Nash equilibria in a discrete spatial duopoly model
    Matsubayashi, N
    Umezawa, M
    Masuda, Y
    Nishino, H
    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 2004, 47 (01) : 25 - 37
  • [35] A Bertrand Duopoly Game with Differentiated Products Reconsidered
    Xiaoliang Li
    Bo Li
    Mathematics in Computer Science, 2025, 19 (1)
  • [36] Product differentiation in a Bertrand-Edgeworth duopoly
    Canoy, M
    JOURNAL OF ECONOMIC THEORY, 1996, 70 (01) : 158 - 179
  • [37] Equilibria in secure strategies in the Bertrand–Edgeworth duopoly
    A. B. Iskakov
    M. B. Iskakov
    Automation and Remote Control, 2016, 77 : 2239 - 2248
  • [38] BERTRAND COMPETITION IN A MIXED DUOPOLY MARKET: A NOTE
    Martinez-Sanchez, Francisco
    MANCHESTER SCHOOL, 2011, 79 (06): : 1058 - 1060
  • [39] Bifurcation and chaos control in a heterogeneous Cournot-Bertrand duopoly game model
    Ahmed, Rizwan
    Qureshi, M. Zubair Akbar
    Abbas, Muhammad
    Mumtaz, Nida
    CHAOS SOLITONS & FRACTALS, 2025, 190
  • [40] The research on Cournot–Bertrand duopoly model with heterogeneous goods and its complex characteristics
    Junhai Ma
    Xiaosong Pu
    Nonlinear Dynamics, 2013, 72 : 895 - 903