The Probability of Intransitivity in Dice and Close Elections

@article{Hkazla2018ThePO,
  title={The Probability of Intransitivity in Dice and Close Elections},
  author={Jan Hkazla and Elchanan Mossel and Nathan Ross and Guangqu Zheng},
  journal={arXiv: Probability},
  year={2018}
}
Intransitivity often emerges when ranking three or more alternatives. Condorcet paradox and Arrow's theorem are key examples of this phenomena in the social sciences, and non-transitive dice are a fascinating aspect of games of chance. In this paper, we study intransitivity in natural random models of dice and voting. First, we follow a recent thread of research that aims to understand intransitivity for three or more $n$-sided dice (with non-standard labelings), where the pairwise ordering is… Expand
2 Citations

Tables from this paper

References

SHOWING 1-10 OF 48 REFERENCES
Some mathematical remarks on the paradox of voting
A mathematical solution for the probability of the paradox of voting.
A quantitative Arrow theorem
A tight quantitative version of Arrow's impossibility theorem
The paradox of voting: probability calculations.
The Geometry of Manipulation: A Quantitative Proof of the Gibbard-Satterthwaite Theorem
...
1
2
3
4
5
...