论文标题
Danilov-Karzanov-Koshevoy建筑的概括用于峰坑condorcet域
Generalisation of the Danilov-Karzanov-Koshevoy Construction for Peak-Pit Condorcet Domains
论文作者
论文摘要
Danilov，Karzanov和Koshevoy（2012）几何引入了在瓷砖condorcet域上的有趣作品，并且使用它，他们否认了Fishburn的长期问题，内容涉及连接的Condorcet域的最大尺寸。我们给出了该操作的代数定义，并研究其属性。我们提供了一个精确的公式，用于两个Condorcet域的组成的基础性，并改善Danilov，Karzanov和Koshevoy的结果，表明Fishburn的交替方案并不总是定义最大的峰值凹坑condorcet域。
Danilov, Karzanov and Koshevoy (2012) geometrically introduced an interesting operation of composition on tiling Condorcet domains and using it they disproved a long-standing problem of Fishburn about the maximal size of connected Condorcet domains. We give an algebraic definition of this operation and investigate its properties. We give a precise formula for the cardinality of composition of two Condorcet domains and improve the Danilov, Karzanov and Koshevoy result showing that Fishburn's alternating scheme does not always define a largest peak-pit Condorcet domain.
