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ID 112903
Author
Kubo, Tomoya Tokushima University
Content Type
Departmental Bulletin Paper
Description
We shall study the following restricted Wythoff’s Nim. Let Si (1 ≤ i ≤ 3) be the set of positive integers. Each player can remove the number of tokens s1 ∈ S1 from the first pile and s2 ∈ S2 from the second pile and remove the same number of tokens s3 ∈ S3 from both piles. We shall identify (m, n) to a position of this nim, where m is the number of tokens in the first pile and n is the number of tokens in the second pile. In the case |S2| < ∞, we will show the Sprague-Grundy sequence(or simply G-sequences) gS(m, n) is periodic for fixed m.
Journal Title
Journal of Mathematics
ISSN
13467387
NCID
AA11595324
Publisher
TOKUSHIMA UNIVERSITY
Volume
52
Start Page
53
End Page
57
Sort Key
53
Published Date
2018
EDB ID
FullText File
language
eng
TextVersion
Publisher
departments
Science and Technology