A new heap game

Mathematics – Combinatorics

Scientific paper

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To appear in Computer Games 1998

Scientific paper

Given $k\ge 3$ heaps of tokens. The moves of the 2-player game introduced
here are to either take a positive number of tokens from at most $k-1$ heaps,
or to remove the {\sl same} positive number of tokens from all the $k$ heaps.
We analyse this extension of Wythoff's game and provide a polynomial-time
strategy for it.

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