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ЖУРНАЛЫ // Математические заметки // Архив

Матем. заметки, 2024, том 116, выпуск 5, страницы 1072–1079 (Mi mzm14230)

Статьи, опубликованные в английской версии журнала

Bijective class of replicator equations

F. M. Mukhamedova, Ch. H. Pahb, A. Roslic

a Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates
b Department of Computational and Theoretical Sciences, International Islamic University Malaysia, Kuantan, Malaysia
c Department of Mathematical Sciences, Universiti Teknologi Malaysia, Johor Bahru, Malaysia

Аннотация: 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.

Ключевые слова: Lotka–Volterra operator, bijection, evolutionary game, stochastic.

MSC: 47H25

Поступило: 14.01.2024
Исправленный вариант: 07.11.2024

Язык публикации: английский


 Англоязычная версия: Mathematical Notes, 2024, 116:5, 1072–1079

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