LIM is not slim

Alex Fink (), Aviezri Fraenkel () and Carlos Santos ()

International Journal of Game Theory, 2014, vol. 43, issue 2, 269-281

Abstract: In this paper LIM, a recently proposed impartial combinatorial ruleset, is analyzed. A formula to describe the $$\mathcal G $$ G -values of LIM positions is given, by way of analyzing an equivalent combinatorial ruleset LIM’, closely related to the classical nim. Also, an enumeration of $$\mathcal P $$ P -positions of LIM with $$n$$ n stones, and its relation to the Ulam-Warburton cellular automaton, is presented. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Combinatorial game theory; Impartial games; Nim; Sprague–Grundy theory; Ulam–Warburton cellular automaton. (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s00182-013-0380-z

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