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Monotonic sequence games

By M. H. Albert, R. E. L. Aldred, M. D. Atkinson, C. C. Handley, D. A. Holton, D. J. Mccaughan and B. E. Sagan

Abstract

Abstract. In a monotonic sequence game, two players alternately choose elements of a sequence from some fixed ordered set. The game ends when the resulting sequence contains either an ascending subsequence of length a or a descending one of length d. We investigate the behaviour of this game when played on finite linear orders or Q and provide some general observations for play on arbitrary ordered sets. 1

Publisher: Stanley
Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.966
Provided by: CiteSeerX
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