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arXiv · 1705.03061

Playability and arbitrarily large rat games

Aviezri S. Fraenkel·Urban Larsson
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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

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Aviezri S. Fraenkel, Urban Larsson. 2017-05-23. Playability and arbitrarily large rat games. https://arxiv.org/abs/1705.03061

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