Impartial poker nim

Craig Tennenhouse ()
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Craig Tennenhouse: University of New England

International Journal of Game Theory, 2018, vol. 47, issue 2, No 15, 695-705

Abstract: Abstract The combinatorial game of nim is well-studied, along with many impartial and partizan modifications. We develop a new impartial modification using the idea of bogus nim heaps and preventing loops. We completely characterize the $$\mathcal {P}$$ P -positions for the two-heap version, and solve the problem for a larger number of heaps dependent on counting integer partitions of a fixed size.

Keywords: Combinatorial game; Nim; Geography; 91A46; 05C (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00182-016-0559-1

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