Akademik Veri Yönetim Sistemi
4th International Conference on Pure and Applied Mathematics, Van, Türkiye, 22 Haziran - 23 Temmuz 2022, cilt.1, sa.1, ss.100
A continuous-time game is a mathematical concept which is used in game theory where each
player’s course of action depends on a continuous dynamical process emerged from real and non-real
life forms [1]. In other words, it extends the notion of a discrete-time game, a game in which each
player’s move is determined by a finite set of pure strategies in discrete-time. Hence, a continuoustime game model allows one to investigate more general sets of pure strategies, which may result
in uncountably infinite. In this work, we study the connection between these two game models and
design discrete-time platforms from the given continuous-time playing ground to achieve game ending
scenarios for pursuit-evasion type game models in discrete-time. In recent literature, designing such
game structures are studied in [2, 3, 4, 5, 6, 7] to deal with some real-world problems.