Odd case of 2-pile divisor Nim

Takayuki Morisawa ()
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Takayuki Morisawa: Kogakuin University

International Journal of Game Theory, 2025, vol. 54, issue 1, No 21, 13 pages

Abstract: Abstract We study the Sprague–Grundy value g(m, n) of 2-pile divisor Nim which is the variation of 2-pile Nim. In particular, we fix an odd integer m and focus our attention on the periodicity of g(m, n) with respect to a non-negative integer n. The aim of the present paper is to show that g(m, n) is periodic under some assumptions on the periodicity of $$g( m', n )$$ for any $$m'

Keywords: Nim; 2-pile divisor Nim; Sprague–Grundy value; Period (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00182-025-00948-0

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