Playability and arbitrarily large rat games
Combinatorics
2017-05-24 v2
Abstract
In 1973 Fraenkel discovered interesting sequences which split the positive integers. These sequences became famous, because of a related unsolved conjecture. Here we construct combinatorial games, with `playable' rulesets, with these sequences constituting the winning positions for the second player. Keywords: Combinatorial game, Fraenkel's conjecture, Impartial game, Normal play, Playability, Rational modulus, Splitting sequences
Cite
@article{arxiv.1705.03061,
title = {Playability and arbitrarily large rat games},
author = {Aviezri S. Fraenkel and Urban Larsson},
journal= {arXiv preprint arXiv:1705.03061},
year = {2017}
}
Comments
3 figures