Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Wen An Liu and Jin Lu Wang
Pages: [57] - [75]
Received Date: July 28, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121526
Fraenkel and Tanny in [9] introduced Wythoff-like games, denoted by
We define a class of new games based on a
given 
Let 
be the new game obtained from 
by adjoining to it the first K
P-positions as additional moves. For an integer 
if the set of all P-positions of
does not equal to the set of all
P-positions of 
we call m a jump-point of
The main purpose of this paper is to analyze the structure and total
number of jump-points of for 
with integer coefficient 
It turns out that 1 is the only jump-point
if 
and 1 and 2 are the only two jump-points
if 
impartial combinatorial game, Wythoff-like games, P-positions, normal play convention, pure P-extension.
