On designing discrete-time games from continuous-time models


Hamidoğlu A.

4th International Conference on Pure and Applied Mathematics, Van, Turkey, 22 June - 23 July 2022, vol.1, no.1, pp.100

  • Publication Type: Conference Paper / Summary Text
  • Volume: 1
  • City: Van
  • Country: Turkey
  • Page Numbers: pp.100
  • Istanbul Technical University Affiliated: Yes

Abstract

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.