2011/06/09 by Alex Fink, Fink, Alex
Economics, Econometrics and Finance · Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Game Theory and Voting Systems #Mathematical Dynamics and Fractals #math.CO
paper · pdf · doi:10.48550/arxiv.1106.1883
11pp, 3 figs
arxiv created 2011/06/09 · openalex publication_date 2011/06/09 · arxiv updated 2011/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.