Combined Games with Randomly Delayed Beginnings

This paper presents two-person games involving optimal stopping. As far as we are aware, the type of problems study new. We confine our interest to such in discrete time. Two players chose, with randomised choice-priority, between two G1 and G2. Each game consists parts well-defined targets. part a sequence random variables which determines when decisive will begin. In each game, horizon is bounded, if not finished within horizon, lost by definition. Otherwise begins, on player entitled apply their or her strategy reach second target. If only one achieves targets, this winner. both win lose, outcome seen “deuce”. motivate context real-world problems. A few representative solved detail. The main objective article serve preliminary manual guide through possible approaches discuss under circumstances can obtain solutions, approximate solutions.