Quantum Nash equilibrium in the thermodynamic limit

被引:9
|
作者
Sarkar, Shubhayan [1 ]
Benjamin, Colin [1 ]
机构
[1] HBNI, Natl Inst Sci Educ & Res, Sch Phys Sci, Jatni 752050, Odisha, India
关键词
Quantum games; Hawk-Dove game; Nash equilibrium;
D O I
10.1007/s11128-019-2237-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The quantum Nash equilibrium in the thermodynamic limit is studied for games like quantum Prisoner's dilemma and quantum game of Chicken. A phase transition is seen in both games as function of the entanglement in the game. We observe that for maximal entanglement irrespective of the classical payoffs, majority of players choose quantum strategy over defect in the thermodynamic limit.
引用
收藏
页数:13
相关论文
共 50 条
  • [21] Infinite Horizon Nash Equilibrium Models of a Limit Order Book
    Bressan, Alberto
    Wei, Hongxu
    DYNAMIC GAMES AND APPLICATIONS, 2024,
  • [22] QUANTUM CONDENSATION, THERMODYNAMIC LIMIT, AND DIMENSIONALITY
    LUDERS, G
    ZEITSCHRIFT FUR NATURFORSCHUNG PART A-ASTROPHYSIK PHYSIK UND PHYSIKALISCHE CHEMIE, 1972, A 27 (02): : 175 - &
  • [23] On the thermodynamic limit at a quantum critical point
    Geyer, HB
    Heiss, WD
    Scholtz, FG
    SOUTH AFRICAN JOURNAL OF SCIENCE, 2005, 101 (11-12) : 536 - 537
  • [24] Geometric Characterization of Nash Equilibrium in Certain Quantum Games
    Khan, Faisal Shah
    WMSCI 2010: 14TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL I, 2010, : 381 - 384
  • [25] Quantum interferences and the question of thermodynamic equilibrium
    Agarwal, GS
    Menon, S
    PHYSICAL REVIEW A, 2001, 63 (02):
  • [26] Quantum interferences and the question of thermodynamic equilibrium
    Agarwal, G.S.
    Menon, Sunish
    2001, American Inst of Physics, Woodbury (63):
  • [27] Role of quantum interference in thermodynamic equilibrium
    Savchenko, VI
    Fisch, NJ
    Panteleev, AA
    Starostin, AN
    PHYSICAL REVIEW A, 1999, 59 (01): : 708 - 713
  • [28] PHASE EQUILIBRIUM, THERMODYNAMIC LIMIT, AND MELTING TEMPERATURE IN NANOCRYSTALS
    Bulavin, L. A.
    Alekseev, O. M.
    Zabashta, Yu F.
    Lazarenko, M. M.
    UKRAINIAN JOURNAL OF PHYSICS, 2018, 63 (11): : 1036 - 1040
  • [29] EXISTENCE OF THE THERMODYNAMIC LIMIT IN NON-EQUILIBRIUM SYSTEMS
    SUZUKI, M
    JOURNAL OF STATISTICAL PHYSICS, 1979, 20 (02) : 163 - 173
  • [30] Nash equilibrium mapping vs. Hamiltonian dynamics vs. Darwinian evolution for some social dilemma games in the thermodynamic limit
    Benjamin, Colin
    Krishnan, U. M. Arjun
    EUROPEAN PHYSICAL JOURNAL B, 2023, 96 (07):