4 papers
Generalizing OOOOOOB
Alon Danai, Paul Ellis, Thotsaporn Aek Thanatipanonda
We present three versions of the classic two-pile game \textsc{one-or-one-or-one-of-both} generalized to the multi-pile context. In each case, we explore the resulting $\mathcal{P}…
Two Dimensional Subtraction -- Transfer Games
Alon Danai, Paul Ellis, Thotsaporn Aek Thanatipanonda
We generalize the results and conjectures of Tamás Lengyel, showing that the \textsc{nim}-values of a large class of two-dimensional subtraction-transfer games are periodic. These…
When Does the Dice Sum Become Prime?
Christoph Koutschan, Tipaluck Krityakierne, Thotsaporn Aek Thanatipanonda
Given a (possibly infinite) subset of the natural numbers, we ask how many times a fair six-sided die must be rolled until the rolled numbers add up to an element of . Using…
High-Precision Framework for Expected Hitting Times Analysis in the Dice-Sum Process
Tipaluck Krityakierne, Thotsaporn Aek Thanatipanonda
We study the expected number of rolls required for the cumulative sum of a fair six-sided die to first enter a prescribed target set . A one-variable dyn…