arXiv subjects

Kenneth Levasseur

Publications and source records attributed to Kenneth Levasseur.

2 recordsLinked to original sources

arXiv2021

"Pass the Buck" on a Rooted Tree

The Stochastic Abacus is can employed to compute winning probabilities for each vertex of a rooted tree in the game "Pass the Buck", with the starting vertex being the root of the tree. For all but the simplest trees, the abacus can't really be implemented due to the large number of steps needed for completion. In this paper, a technique for anticipating the outcome is introduced.

math.PR↗

arXiv2019

Pass the Buck on a Complete Binary Tree

The Stochastic Abacus is employed to compute winning probabilities at each level of the game Pass the Buck on a complete binary tree with the starting vertex being the root of the tree. The derivation is also generalized to play on complete k-ary trees.

math.PR↗