Monotonic Sequence Games
M. Albert, R. Aldred, M. Atkinson, C. Handley, D. Holton, D. McCaughan, B. Sagan
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.
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