Binary single-crossing random utility models

Henrik Petri

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We characterize the single-crossing random utility model (SCRUM) (Apesteguia et al. (2017)) restricted to the (experimentally and empirically) important domain of binary choice menus. As corollaries we characterize some important subclasses of SCRUM (such as single-peaked and single-dipped random utility models) on this domain. In doing so, we address instances of the (still unsolved) binary random utility problem, which asks under what conditions there is a random utility model consistent with data from binary menus.
Original languageEnglish
Pages (from-to)311-320
Number of pages10
JournalGames and Economic Behavior
Early online date23 Feb 2023
Publication statusPublished - 31 Mar 2023


  • Binary choice menus
  • Single-crossing property
  • Single-dipped preferences
  • Single-peaked preferences
  • Stochastic choice
  • Stochastic transitivity

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics


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