Voting Rules that are Unbiased but not Transitive-Symmetric
Combinatorics
2020-02-11 v1
Abstract
We explore the relation between two natural symmetry properties of voting rules. The first is transitive-symmetry -- the property of invariance to a transitive permutation group -- while the second is the "unbiased" property of every voter having the same influence for all i.i.d. probability measures. We show that these properties are distinct by two constructions -- one probabilistic, one explicit -- of rules that are unbiased but not transitive-symmetric.
Cite
@article{arxiv.1907.01685,
title = {Voting Rules that are Unbiased but not Transitive-Symmetric},
author = {Aadyot Bhatnagar},
journal= {arXiv preprint arXiv:1907.01685},
year = {2020}
}
Comments
13 pages, 1 figure, submitted to Electronic Journal of Combinatorics