单峰偏好和Bruhat序的符号表示
Sign representation of single-peaked preferences and Bruhat orders
摘要：
单峰偏好和领域在社会科学和经济学中得到了广泛的研究。在这项研究中，我们研究了区间性质以及单峰偏好的组合结构上一个固定的左-右社会轴。我们引入了一个符号表示的单峰偏好，因此，一些基数的单峰域很容易获得。符号表示，完全定义的Bruhat偏序集上的基本操作，也提供。应用已知的结果和同构关系与相关的菱形镶嵌。最后，我们对相关课题进行了一些讨论.
英文摘要：
Single-peaked preferences and domains are extensively researched in social science and economics. In this study, we examine the interval property as well as combinatorial structure of single-peaked preferences on a fixed Left-Right social axis. We introduce a sign representation of single-peaked preferences; consequently, some cardinalities of single-peaked domains are easily obtained. Basic operations on the sign representation, which completely define the Bruhat poset, are also provided. The applications to known results and an isomorphic relation with associated rhombus tiling are given. Finally, we some discussions of related topics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
