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Besides the single-crossing and the single-peaked domains, the best-known peak-pit domains are Fishburn’s domains introduced in Definition 1.2.2 . They are defined by the so-called alternating scheme of never-conditions relative to some fixed order of alternatives (spectrum). Up to an isomorphism, we can assume that the set of alternatives $$A=[n]$$ and the order is $$1<2<\ldots

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Domains Defined by Alternating Schemes

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  • 发表日期：

    2026年

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  • Clemens Puppe,
  • Arkadii Slinko

摘要

Besides the single-crossing and the single-peaked domains, the best-known peak-pit domains are Fishburn’s domains introduced in Definition 1.2.2 . They are defined by the so-called alternating scheme of never-conditions relative to some fixed order of alternatives (spectrum). Up to an isomorphism, we can assume that the set of alternatives $$A=[n]$$ and the order is $$1<2<\ldots