A generalization of Ruckle's results for an ambush game |
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| Institution: | 1. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, China;2. Hubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China |
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| Abstract: | This article considers a two-person zero-sum game in which a traveller, player I chooses a point in the closed unit interval 0,1] so as to minimise the probability of being ambushed by two obstacles placed there by his adversary, player II. The payoff to player I equals 1 if the point chosen by him is not in either of the intervals chosen by player II and 0 otherwise. This paper complements the results obtained by Ruckle, Baston and Bostock, and Lee. |
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