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Proceedings of the American Mathematical Society

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The number hides game

Authors: V. J. Baston, F. A. Bostock and T. S. Ferguson
Journal: Proc. Amer. Math. Soc. 107 (1989), 437-447
MSC: Primary 90D05
MathSciNet review: 972227
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Abstract: We solve the following two-person zero-sum game, introduced by Ruckle. Players I and II simultaneously choose sequences of $m$ and $n$ consecutive integers respectively from the integers 1 to $p$ inclusive. The payoff to I is the number of integers in the intersection of the two sequences. A continuous version of this game is also solved as well as the variations in which one of the players need not choose his integers consecutively.

References [Enhancements On Off] (What's this?)

    W. H. Ruckle, Technical Report #384, Department of Mathematical Sciences, Clemson University, 1982.
  • William H. Ruckle, Geometric games and their applications, Research Notes in Mathematics, vol. 82, Pitman (Advanced Publishing Program), Boston, MA, 1983. MR 704355

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Keywords: Two-person game, zero-sum game, geometric game
Article copyright: © Copyright 1989 American Mathematical Society