A very simple differential game with choice of the time in mixed strategies (Q1100107)

A program differential game on a straight line is considered in which the pursuer P minimizes and the evader E maximizes the probability of evading the r rendezvous at the instant at which the game is stopped. The pursuer controls the duration of the game, whereas the evader controls the speed variation. The optimal mixed strategies of the players are determined, as well as the payoff of the game.