in: Lecture Notes on Data Engineering and Communications Technologies, Xu J.,García Márquez F.P.,Ali Hassan M.H.,Duca G.,Hajiyev A.,Altiparmak F., Editor, Springer, London/Berlin , Zürich, pp.195-207, 2021
In this work, several discrete game models played between two players are proposed in the context of two-player pursuit-evasion games and their behaviours are managed by finite control sets in different platforms emerged from engineering and management science. In this regard, various chasing strategies are established by setting controls in each player in such a way that one player follows its own existed policy as scheduled, whereas the other tries to reach the policy of its opponent as close as possible to dominate the current playing environment. The motivation behind the design of such games arises from the control of the current market to provide a better management in the service. For having a clear vision over the game construction, different competitive playing grounds are designed together with numerical examples which justify the main results of the study. Moreover, the paper links to the reachability problem of the polyhedra in robotics and the methodology could be implemented on transportation and the energy pipeline management.