Monotonic Sequence Games

Details Monotonic Sequence Games Monotonic Sequence Games

2006-02-27

arxiv.org/abs/math/0602630v1

Mathematics

Combinatorics

20 pages, 1 table

Scientific paper

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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