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On the threshold representation of partial orderings

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  • Caliari, Daniele
  • Carpentiere, Davide

Abstract

In this paper, we provide a constructive proof for threshold representations of partial orderings in a finite setting and extend the construction to arbitrary sets. This contributes to a long-standing open problem posed in Nakamura (2002) and Aleskerov et al. (2007). We identify and discuss aspects of our proof that do not directly generalize to an infinite setting and, for each, provide intuitive sufficient conditions.

Suggested Citation

  • Caliari, Daniele & Carpentiere, Davide, 2026. "On the threshold representation of partial orderings," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 140, pages 1-7.
    • Handle: RePEc:zbw:espost:337878
    DOI: 10.1016/j.mathsocsci.2026.102516
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