The Probability of Intransitivity in Dice and Close Elections

Jan Hązła
Jan Hązła
Guangqu Zheng
Guangqu Zheng

Probability Theory and Related Fields, pp. 951-1009, 2020.

Cited by: 0|Bibtex|Views1|DOI:https://doi.org/10.1007/S00440-020-00994-7
Other Links: academic.microsoft.com

Abstract:

We study the phenomenon of intransitivity in models of dice and voting. First, we follow a recent thread of research for n-sided dice with pairwise ordering induced by the probability, relative to 1/2, that a throw from one die is higher than the other. We build on a recent result of Polymath showing that three dice with i.i.d. faces draw...More

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