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We consider an approach-evasion differential game where the inputs of one of the players are upper bounded by a random variable. The game enjoys the order preserving property where a larger relaxation of the random variable induces a smaller value function. Two numerical computation algorithms are proposed to asymptotically recover the expected value function. The performance of the proposed algorithms is compared via a stochastically parametric homicidal chauffeur game. The algorithms are alsodoi:10.1109/iros.2013.6696902 dblp:conf/iros/MuellerYZF13 fatcat:kkaxbtzjjndtbbzrhpkhpc77c4