A game locating a needle in a circular haystack |
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Authors: | V. J. D. Baston F. A. Bostock |
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Affiliation: | (1) Department of Mathematics, University of Southampton, Southampton, United Kingdom |
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Abstract: | A complete solution of the following Hider-Seeker zero-sum game is obtained. The hider hides a needle of lengtha, 0<a2, 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. |
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Keywords: | Zero-sum games hider-seeker games infinite games games in the unit disc |
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