๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

How Far Can Nim in Disguise Be Stretched?

โœ Scribed by Uri Blass; Aviezri S. Fraenkel; Romina Guelman

Book ID
102584090
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
214 KB
Volume
84
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

โœฆ Synopsis

A move in the game of nim consists of taking any positive number of tokens from a single pile. Suppose we add the class of moves of taking a nonnegative number of tokens jointly from all the piles. We give a complete answer to the question which moves in the class can be adjoined without changing the winning strategy of nim. The results apply to other combinatorial games with unbounded Sprague Grundy function values. We formulate two weakened conditions of the notion of nim-sum 0 for proving the results.

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