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Unit representation of semiorders II: The general case

IDEAS Working Paper Series from RePEc, 2021-08 [Peer Reviewed Journal]

2021. Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at https://research.stlouisfed.org/research_terms.html . ;Distributed under a Creative Commons Attribution 4.0 International License ;ISSN: 0022-2496 ;EISSN: 1096-0880 ;DOI: 10.1016/j.jmp.2021.102568

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  • Title:
    Unit representation of semiorders II: The general case
  • Author: Bouyssou, Denis ; Pirlot, Marc
  • Subjects: Economics and Finance ; Humanities and Social Sciences ; Mathematical functions
  • Is Part Of: IDEAS Working Paper Series from RePEc, 2021-08
  • Description: Necessary and suffcient conditions under which semiorders on uncountable sets can be represented by a real-valued function and a constant threshold are known. We show that the proof strategy that we used for constructing representations in the case of denumerable semiorders can be adapted to the uncountable case. We use it to give an alternative proof of the existence of strict unit representations. A direct adaptation of the same strategy allows us to prove a characterization of the semiorders that admit a nonstrict representation. (This abstract was borrowed from another version of this item.)
  • Publisher: St. Louis: Federal Reserve Bank of St Louis
  • Language: English
  • Identifier: ISSN: 0022-2496
    EISSN: 1096-0880
    DOI: 10.1016/j.jmp.2021.102568
  • Source: HAL SHS: Archive ouverte en Sciences de l'Homme et de la Société (Open Access)
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