El Seidy, E., Radwan, A., Osman, H., Tabarak, M. (2024). Alternating Repeated Games via π-Pre-Separation Axioms and Functions. test, 32(1), 83-100. doi: 10.21608/joems.2024.401440
Essam El Seidy; Abdelaziz E. Radwan; H. Saber Osman; M. E. Tabarak. "Alternating Repeated Games via π-Pre-Separation Axioms and Functions". test, 32, 1, 2024, 83-100. doi: 10.21608/joems.2024.401440
El Seidy, E., Radwan, A., Osman, H., Tabarak, M. (2024). 'Alternating Repeated Games via π-Pre-Separation Axioms and Functions', test, 32(1), pp. 83-100. doi: 10.21608/joems.2024.401440
El Seidy, E., Radwan, A., Osman, H., Tabarak, M. Alternating Repeated Games via π-Pre-Separation Axioms and Functions. test, 2024; 32(1): 83-100. doi: 10.21608/joems.2024.401440

Alternating Repeated Games via π-Pre-Separation Axioms and Functions

Journal of the Egyptian Mathematical Society
Volume 32, Issue 1, 2024, Pages 83-100    PDF (387.86 K)
Document Type: Original Article
DOI: 10.21608/joems.2024.401440
Authors
Essam El Seidy; Abdelaziz E. Radwan; H. Saber Osman* ; M. E. Tabarak
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Abstract
This paper aims to link topology and game theory by using definitions of π-pre-separation axioms on 
π-pre-topological spaces. In this paper, we introduce and investigate infinitely long games using the concept of separation axioms on π-pre-topological spaces, specifically π-pre-T0, π-pre-T1, and π-pre-T2. Winning and losing strategies for both players are studied with some examples. In addition, the effects of pre-open, surjective, injective, and pre-continuous functions on both players’ strategies in different kinds of games are also studied.
Keywords
Pre-topology; π-pre-topology; separation axioms; game theory
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