Linear and Utilitarian Choice Functions: Revisiting Myerson's Theorem.

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Abstract

Myerson proved that every linear and weakly Paretian choice function is utilitarian. We revisit his model and result for the two-person case and supplement it with an "only if" direction. That is, we characterize the class of linear and weakly Paretian two-person choice functions. It turns out that these are the utilitarian functions with an "egalitarian tie-breaking."
Original languageEnglish
Pages (from-to)989-994
Number of pages6
JournalMathematics of Operations Research
Volume47
Issue number2
DOIs
StatePublished - 1 May 2022

Keywords

  • Utilitarianism
  • choice functions
  • linearity
  • Primary: 91B14
  • secondary: 91B15
  • utilitarianism

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