Lattice games without rational strategies

Details Lattice games without rational strategies Lattice games without rational strategies

2011-06-09

arxiv.org/abs/1106.1883v1

Mathematics

Combinatorics

11pp, 3 figs

Scientific paper

We show that the lattice games of Guo and Miller support universal
computation, disproving their conjecture that all lattice games have rational
strategies. We also state an explicit counterexample to that conjecture: a
three dimensional lattice game whose set of winning positions does not have a
rational generating function.

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