A characterization of the extended serial correspondence

Eun Jeong Heo, Özgür Yilmaz

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12 Scopus citations

Abstract

We study the problem of assigning objects to a group of agents. We focus on probabilistic methods that take agents' ordinal preferences over the objects. Importantly, we allow for indifferences among objects. Katta and Sethuraman (2006) propose the extended serial correspondence to solve this problem. Our main result is a characterization of the extended serial correspondence in welfare terms by means of stochastic dominance efficiency, stochastic dominance no-envy and "limited invariance," a requirement we adapt from Heo (2014a). We also prove that an assignment matrix is selected by the extended serial correspondence if and only if it satisfies "non-wastefulness" and "ordinal fairness," which we adapt from Kesten et al. (2011).

Original languageEnglish
Pages (from-to)102-110
Number of pages9
JournalJournal of Mathematical Economics
Volume59
DOIs
StatePublished - 1 Aug 2015

Keywords

  • Limited invariance
  • Sd no-envy
  • Sd-efficiency
  • The extended serial correspondence
  • The serial rule

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