8 papers
A duality of misère games and play with a pass
Koki Suetsugu
In combinatorial game theory, the choice of play convention is a fundamental aspect of the theory. The two most widely studied conventions are normal play, in which the player who…
Combinatorial games and the golden ratio on digraphs
Tomoaki Abuku, Hiroki Inazu, Hiyu Inoue +4
We introduce a new combinatorial game called Triangle Game. In this game, a directed -cycle graph is given, and stones are placed on each vertex. The player chooses a directed e…
Extended circular nim
Koki Suetsugu
Circular nim is a variant of nim, in which there are piles of tokens arranged in a circle and each player, in their turn, chooses at most consecutive piles in th…
Cyclic impartial games with carry-on moves
Tomoaki Abuku, Alda Carvalho, Urban Larsson +3
In an impartial combinatorial game, both players have the same options in the game and all its subpositions. The classical Sprague-Grundy Theory was developed for short impartial g…
-Ending partisan rulesets
Hiroki Inazu, Shun-ichi Kimura, Koki Suetsugu
In this paper, we consider -ending partisan rulesets as a branch of combinatorial game theory. In these rulesets, the sets of options of both players are th…
On the Sprague-Grundy values of games with a pass
Hikaru Manabe, Ryohei Miyadera, Koki Suetsugu
In this paper, we consider two-player impartial games with a pass-move. A disjunctive compound of games is a position in which, on each turn, the current player chooses one of the…