Majority rule on rhombus tilings and Condorcet super-domains
Combinatorics
2020-04-20 v1
Abstract
In this paper we consider a Condorcet domain (CD) formed by a rhombus tiling as a voting design and consider a problem of aggregation of voting designs using majority rule. A Condorcet super-domain is a collection of CDs obtained from rhombus tilings on a zonogone Z(n; 2) with the property that if voting designs (ballots) belong to this collection, then the simple majority rule does not yield cycles. A study of Condorcet super-domains and methods of constructing them form the main subject of this paper.
Keywords
Cite
@article{arxiv.2004.08183,
title = {Majority rule on rhombus tilings and Condorcet super-domains},
author = {Vladimir Danilov and Alexander Karzanov and Gleb Koshevoy},
journal= {arXiv preprint arXiv:2004.08183},
year = {2020}
}
Comments
17 pages, 8 figures