Bijective Class of Replicator Equations

被引：0
|
作者：
Mukhamedov, F. M. [1 ]
Pah, Ch. H. [2 ]
Rosli, A. [3 ]
机构：
[1] United Arab Emirates Univ, Dept Math Sci, Abu Dhabi 15551, U Arab Emirates
[2] Int Islamic Univ Malaysia, Dept Computat & Theoret Sci, Fac Sci, Kuantan 25710, Pahang, Malaysia
[3] Univ Teknol Malaysia, Dept Math Sci, Johor Baharu 81310, Johor, Malaysia
来源：
MATHEMATICAL NOTES | 2024年 / 116卷 / 5-6期
关键词：
Lotka-Volterra operator; bijection; evolutionary game; stochastic; VOLTERRA; STABILITY; MODELS;
D O I：
10.1134/S0001434624110191
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Rock-Paper-Scissors game serves as a crucial toy model in understanding evolutionary dynamics, leading to the formulation of a replicator equation. This paper introduces a comprehensive and enduring category of replicator equations derived from expanding functions. It is established that such equations are bijections of the 2D simplex. The current investigation allows further exploration of inverse dynamical behavior of the replicator equations.
引用
收藏
页码：1072 / 1079
页数：8
相关论文
共 50 条
  • [41] Hamiltonians which are induced from anti-symmetric replicator equations
    Watanabe, N
    Togawa, Y
    Sawada, K
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (05) : 655 - 660
  • [42] Bijective, Non-Bijective and Semi-Bijective Translations on the Triangular Plane
    Abuhmaidan, Khaled
    Nagy, Benedek
    MATHEMATICS, 2020, 8 (01)
  • [43] Replicator equations, response functions and entropy measures in science: mathematical background
    Pykh, YA
    Malkina-Pykh, IG
    Ecosystems and Sustainable Development V, 2005, 81 : 15 - 22
  • [44] A deterministic annealing algorithm for a combinatorial optimization problem using replicator equations
    Tsuchiya, K
    Nishiyama, T
    Tsujita, K
    PHYSICA D-NONLINEAR PHENOMENA, 2001, 149 (03) : 161 - 173
  • [45] Hamiltonians which are induced from anti-symmetric replicator equations
    Watanabe, Nobuya
    Togawa, Yoshio
    Sawada, Ken
    Nonlinear Analysis, Theory, Methods and Applications, 1999, 36 (05): : 655 - 660
  • [46] EXPLICIT SOLUTIONS FOR REPLICATOR-MUTATOR EQUATIONS: EXTINCTION VERSUS ACCELERATION
    Alfaro, Matthieu
    Carles, Remi
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2014, 74 (06) : 1919 - 1934
  • [47] Derivation of replicator-mutator equations from a model in population genetics
    Wakano, Joe Yuichiro
    Funaki, Tadahisa
    Yokoyama, Satoshi
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2017, 34 (02) : 473 - 488
  • [48] Construction of entropy characteristics based on replicator equations with nonsymmetric interaction matrices
    Pykh, YA
    DOKLADY MATHEMATICS, 2005, 72 (02) : 780 - 782
  • [49] A replicator equations-based evolutionary algorithm for the maximum clique problem
    Rossi, C
    PROCEEDINGS OF THE 2000 CONGRESS ON EVOLUTIONARY COMPUTATION, VOLS 1 AND 2, 2000, : 1565 - 1570
  • [50] On a class of bijective binary transducers with finitary description despite infinite state set
    Vielhaber, M
    Canales, MD
    IMPLEMENTATION AND APPLICATION OF AUTOMATA, 2006, 3845 : 356 - 357
12345