Stopping times in the game Rock-Paper-Scissors
Probability
2019-06-03 v2
Abstract
In this paper we compute the stopping times in the game Rock-Paper-Scissors. By exploiting the recurrence relation we compute the mean values of stopping times. On the other hand, by constructing a transition matrix for a Markov chain associated with the game, we get also the distribution of the stopping times and thereby we compute the mean stopping times again. Then we show that the mean stopping times increase exponentially fast as the number of the participants increases.
Keywords
Cite
@article{arxiv.1810.06183,
title = {Stopping times in the game Rock-Paper-Scissors},
author = {Kyeonghoon Jeong and Hyun Jae Yoo},
journal= {arXiv preprint arXiv:1810.06183},
year = {2019}
}
Comments
14 pages, 1 figure