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math.CO2023
Subtraction games in more than one dimension
Urban Larsson, Indrajit Saha, Makoto Yokoo
This paper concerns two-player alternating play combinatorial games (Conway 1976) in the normal-play convention, i.e. last move wins. Specifically, we study impartial vector subtra…
math.CO2023
A complete solution for a nontrivial ruleset with entailing moves
Urban Larsson, Richard J. Nowakowski, Carlos P. Santos
Combinatorial Game Theory typically studies sequential rulesets with perfect information where two players alternate moves. There are rulesets with {\em entailing moves} that break…