How Many People Can Be Controlled in a Group Pursuit Game
In this paper we study a time-optimal model of pursuit. The game is supposed to be a nonzero-sum simple pursuit game between a pursuer and m evaders acting independently of each other. Here we assume that the evaders are discriminated and dictated the extremely disadvantageous behaviour by the pursuer who has an element of punishment at his disposal. The aim of this paper is to find an equilibrium situation and to define the maximum number of participants of the game that can be kept in submission. For every evader we construct a realizability area of punishment strategy and investigate the question of its existence depending on various initial positions of the players P and E i , i = 1,..., m.
KeywordsNash Equilibrium Initial Position Group Pursuit Differential Game Strategy Profile
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