8 papers · 1 filter
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…
A Variant of Game of Sliding Coins
Ryohei Miyadera, Hikaru Manabe, Unchon Lee
Here, we present a variant of the sliding coins game. Two coins are placed on distinct squares of a semi-infinite linear board with squares numbered . Two players…