The game Max-Welter

Details The game Max-Welter The game Max-Welter

2012-02-18

arxiv.org/abs/1202.4075v2

Mathematics

Combinatorics

The paper needs corrections

Scientific paper

On a finite strip of squares rightward numbered 0, 1, 2, ... with at most one coin in each square, in Welter's game, two players alternately move a coin to an empty square on its left. Jumping over other coins is legal. The player who first cannot move loses. We present a variant of Welter's game in which players are allowed to move only the coin from the right end square. We solve the winning strategy and classify the positions of Sprague-Grundy value 1. We obtain two theorems on Sprague-Grundy values by which in some special cases, calculating the Sprague-Grundy value of a position of size k can be reduced to that of another position of size k-1. Two theorems on the periodicity of the Sprague-Grundy values are then given.

Affiliated with

Also associated with

No associations

Rating

The game Max-Welter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The game Max-Welter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The game Max-Welter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-33347