\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2012d.00017}
\itemau{Fraenkel, Aviezri S.}
\itemti{RATWYT.}
\itemso{Coll. Math. J. 43, No. 2, 160-164 (2012).}
\itemab
Summary: WYTHOFF is played on a pair of nonnegative integers, $(M, N)$. A move either subtracts a positive integer from precisely one of $M$ or $N$ such that the result remains nonnegative, or subtracts the same positive integer from both $M$ and $N$ such that the results remain nonnegative. The first player unable to move loses. RATWYT uses rational numbers instead, transformed using a generalization of the rules of WYTHOFF. Using the Calkin-Wilf tree, we show how to play RATWYT, and any other rational take-away game.
\itemrv{~}
\itemcc{A24}
\itemut{Wythoff}
\itemli{doi:10.4169/college.math.j.43.2.160}
\end