9 papers
A Subtraction Nim with a Pass
Urban Larsson, Hikaru Manabe, Ryohei Miyadera
We consider a subtraction Nim with subtraction set {s_1,s_2,s_3={2,4n,4n+2}, where n is a positive integer such that n >= 3. We do not treat the case that n=1 or n=2 in this articl…
Variants of Wythoff's Games with Different Terminal Sets
Kahori Komaki, Ryohei Miyadera, Aoi Murakami
We study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from one or both piles…
A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence
Kahori Komaki, Ryohei Miyadera, Aoi Murakami
In this paper, we study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from on…
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…
Wythoff's Game with a Pass
Ryohei Miyadera, Hikaru Manabe, Masanori Fukui
This paper describes Wythoff's game with a pass, which is a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players t…
Two Dimensional Silver Dollar Game
Ryohei Miyadera, Enchong Li, Akito Tsujii
We define a variant of the two-dimensional Silver Dollar game. Two coins are placed on a chessboard of unbounded size, and two players take turns choosing one of the coins and movi…