2022
DOI: 10.48550/arxiv.2202.11352
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Sign representation of single-peaked preferences and Bruhat orders

Abstract: 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 singlepeaked 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 k… Show more

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