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A game locating a needle in a circular haystack
Authors:V. J. D. Baston  F. A. Bostock
Affiliation:(1) Department of Mathematics, University of Southampton, Southampton, United Kingdom
Abstract:A complete solution of the following Hider-Seeker zero-sum game is obtained. The hider hides a needle of lengtha, 0<ale2, in the closed unit dise, and the seeker tries to locate it by shooting in a straight line across the disc. The payoff to the seeker is 1 if he hits the needle and 0 otherwise.
Keywords:Zero-sum games  hider-seeker games  infinite games  games in the unit disc
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