How far can Nim in disguise be stretched?

Simple item page
dc.creatorBlass, Uri
dc.creatorFraenkel, Aviezri S.
dc.creatorGuelman, Romina
dc.date1998-09-16
dc.date.accessioned2026-07-07T05:26:01Z
dc.date.available2026-07-07T05:26:01Z
dc.descriptionA 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.
dc.descriptionTo appear in J. Combinatorial Theory (A)
dc.identifierhttps://arxiv.org/abs/math/9809079
dc.identifierhttp://arxiv.org/abs/math/9809079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77399
dc.subjectCombinatorics
dc.titleHow far can Nim in disguise be stretched?
dc.typetext

Files

Collections

arXiv