LIM is not slim

• Published in 2013
• Added on 2014-06-11

In this paper LIM, a recently proposed impartial combinatorial ruleset, is analyzed. A formula to describe the $G$-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 $P$-positions of LIM with $n$ stones, and its relation to the Ulam-Warburton cellular automaton, is presented.

Links

• http://link.springer.com/10.1007/s00182-013-0380-z

Other information

BibTeX entry

@article{Fink2013,
	key = {Fink2013},
	type = {article},
	title = {LIM is not slim},
	author = {Fink, Alex and Fraenkel, Aviezri S. and Santos, Carlos},
	abstract = {In this paper LIM, a recently proposed impartial combinatorial ruleset, is analyzed. A formula to describe the {\$}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 {\$}P{\$}-positions of LIM with {\$}n{\$} stones, and its relation to the Ulam-Warburton cellular automaton, is presented.},
	comment = {},
	date_added = {2014-06-11},
	date_published = {2013-05-01},
	urls = {http://link.springer.com/10.1007/s00182-013-0380-z},
	collections = {Attention-grabbing titles,Combinatorics},
	url = {http://link.springer.com/10.1007/s00182-013-0380-z},
	urldate = {2014-06-11},
	issn = {0020-7276},
	journal = {International Journal of Game Theory},
	month = {may},
	number = 2,
	pages = {269--281},
	volume = 43,
	year = 2013
}