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Another frequently useful sufficient condition for transitivity of the majority relation is the single-crossing property. A domain is said to be single-crossing if linear orders in it can be put in a sequence so that along this sequence the relative positions of any pair of alternatives is reversed at most once.

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Single-Crossing Domains

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  • 发表日期：

    2026年

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  • Clemens Puppe,
  • Arkadii Slinko

摘要

Another frequently useful sufficient condition for transitivity of the majority relation is the single-crossing property. A domain is said to be single-crossing if linear orders in it can be put in a sequence so that along this sequence the relative positions of any pair of alternatives is reversed at most once.