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cs.GT2024
Relationship between misère NIM and two-player GOISHI HIROI
Tomoaki Abuku, Masanori Fukui, Shin-ichi Katayama +1
In combinatorial game theory, there are two famous winning conventions, normal play and misère play. Under normal play convention, the winner is the player who moves last and under…
math.CO2024
What happens when we add impartial loopy games and impartial entailing games?
Koki Suetsugu
The disjunctive sum of impartial games is analyzed by Sprague-Grundy theory. The theory has been extended to loopy games and entailing games by early results. In this study, we con…