# LIM is not slim

• Published in 2013
In the collections
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.

## Other information

issn
0020-7276
journal
International Journal of Game Theory
number
2
pages
269--281
volume
43

### BibTeX entry

@article{Fink2013,
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.},
}