Abstract
RecentlyÚlehla [1980] gave a complete analysis of an impartial two-person combinatorial game called Hackendot which was invented by von Neumann. In this note we consider a partizan (or unimpartial) variation of Hackendot. Úlehla's analysis uses the Sprague-Grundy theory for disjunctive sums of impartial games. Our analysis employs Conway's theory for disjunctive sums of partizan games, two certain “biased” ways of “adding” dyadic rationals, and the usual addition of numbers.
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References
Conway, J.H.: On Numbers and Games. London-New York 1976.
Úlehla, J.: A Complete Analysis of von Neumann's Hackendot. Int. J. Game Theory9 (2), 1980, 107–113.
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Flanigan, J.A. A complete analysis of Black-White Hackendot. Int J Game Theory 11, 21–25 (1982). https://doi.org/10.1007/BF01771244
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DOI: https://doi.org/10.1007/BF01771244