论文标题

关于菱形瓷砖和condorcet超级域的多数规则

Majority rule on rhombus tilings and Condorcet super-domains

论文作者

Danilov, Vladimir, Karzanov, Alexander, Koshevoy, Gleb

论文摘要

在本文中,我们认为由菱形瓷砖形成的condorcet域(CD)是一种投票设计,并考虑了使用多数规则进行投票设计的问题。 Condorcet超域是从菱形Z(N; 2)上获得的CD集合,其特性如果投票设计(选票)属于此集合,那么简单的多数规则就不会产生周期。对Condorcet超级域的研究和构建它们的方法构成了本文的主要主题。

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.

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