4 papers
Forbidden-Total-Size Nim
Hiromi Oginuma, Masato Shinoda
We consider a variant of Nim in which, for a fixed set of nonnegative integers, a move is forbidden if the total number of remaining stones belongs to . This game coincides…
Scoring Nim
Hiromi Oginuma, Masato Shinoda
Nim is a well-known combinatorial game in which two players alternately remove stones from distinct piles. A player who removes the last stone wins under the normal play rule, whil…
Single-delete Nim
Masato Shinoda
The classic game of Nim has been well-known for many years, inspiring numerous variations. One such variant is Delete Nim, where players take turns eliminating one pile of stones a…
Shrinking Circular Nim
Hiromi Oginuma, Masato Shinoda
The game of Nim, which has been well known for many years, has numerous variations. One such variation is Circular Nim, where piles of stones are arranged on a circumference, and p…