The Hotelling bi-matrix game

被引:0
|
作者
Pierre von Mouche
Willem Pijnappel
机构
来源
Optimization Letters | 2018年 / 12卷
关键词
Bi-matrix game; Demi-modality; Hotelling; Location theory; Nash equilibrium; Tarski fixed point theorem;
D O I
暂无
中图分类号
学科分类号
摘要
We study the pure equilibrium set for a specific symmetric finite game in strategic form, referred to as the Hotelling bi-matrix game. General results that guarantee non-emptiness of this set (for all parametric values) do not seem to exist. We prove non-emptiness by determining the pure equilibrium set. In this proof so-called demi-modality properties of the conditional payoff functions play an important role.
引用
收藏
页码:187 / 202
页数:15
相关论文
共 50 条
  • [31] A Linear Programming Approach to Solve Constrained Bi-matrix Games with Intuitionistic Fuzzy Payoffs
    Jing-Jing An
    Deng-Feng Li
    [J]. International Journal of Fuzzy Systems, 2019, 21 : 908 - 915
  • [32] A new approach to solve intuitionistic fuzzy bi-matrix games involving multiple opinions
    Singla, N.
    Kaur, P.
    Gupta, U. C.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2023, 20 (01): : 185 - 197
  • [33] Novel Continuous Fiber Bi-Matrix Composite 3-D Printing Technology
    Adumitroaie, Adi
    Antonov, Fedor
    Khaziev, Aleksey
    Azarov, Andrey
    Golubev, Mikhail
    Vasiliev, Valery V.
    [J]. MATERIALS, 2019, 12 (18)
  • [34] Bi-Matrix Games with General Intuitionistic Fuzzy Payoffs and Application in Corporate Environmental Behavior
    Li, Shuying
    Tu, Guoping
    [J]. SYMMETRY-BASEL, 2022, 14 (04):
  • [35] A Linear Programming Approach to Solve Constrained Bi-matrix Games with Intuitionistic Fuzzy Payoffs
    An, Jing-Jing
    Li, Deng-Feng
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2019, 21 (03) : 908 - 915
  • [36] Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
    Madandar, F.
    Haghayegi, S.
    Vaezpour, S. M.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2019, 10 (01): : 99 - 109
  • [37] (α, β, γ)-cut set based ranking approach to solving bi-matrix games in neutrosophic environment
    Bhaumik, Ankan
    Roy, Sankar Kumar
    Li, Deng-Feng
    [J]. SOFT COMPUTING, 2021, 25 (04) : 2729 - 2739
  • [38] Solving Bi-matrix Games with Pay-offs of Triangular Intuitionistic Fuzzy Numbers
    Seikh, Mijanur Rahaman
    Nayak, Prasun Kumar
    Pal, Madhumangal
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, 8 (02): : 153 - 171
  • [39] On the Hotelling Game with Close Players
    Garcia-Perez, Luis
    Grau-Climent, Juan
    Losada, Juan C.
    Alonso-Sanz, Ramon
    [J]. INTERNATIONAL GAME THEORY REVIEW, 2024, 26 (03)
  • [40] Collaboration Networks in a Hotelling Game
    Di Dio, Fabio
    Correani, Luca
    [J]. ECONOMICS BULLETIN, 2019, 39 (01): : 127 - 141