TY - JOUR
AU1 - Khovanova, Tanya
AU2 - Sarkar, Karan
AB - In this paper, we consider a modular extension to the game of Nim, which we call m-Modular Nim, and explore its optimal strategy. In m-Modular Nim, a player can either make a standard Nim move or remove a multiple of m tokens in total. We develop a winning strategy for all m with 2 heaps and for odd m with any number of heaps.
TI - P-positions in modular extensions to Nim
JF - International Journal of Game Theory
DO - 10.1007/s00182-016-0545-7
DA - 2016-07-20
UR - https://www.deepdyve.com/lp/springer-journals/p-positions-in-modular-extensions-to-nim-6sHFPm0vij
SP - 547
EP - 561
VL - 46
IS - 2
DP - DeepDyve
ER -