Methods for distance-based judgment aggregation

Michael K. Miller, Daniel Osherson

Research output: Contribution to journalArticle

64 Scopus citations

Abstract

Judgment aggregation theory, which concerns the translation of individual judgments on logical propositions into consistent group judgments, has shown that group consistency generally cannot be guaranteed if each proposition is treated independently from the others. Developing the right method of abandoning independence is thus a high-priority goal. However, little work has been done in this area outside of a few simple approaches. To fill the gap, we compare four methods based on distance metrics between judgment sets. The methods generalize the premise-based and sequential priority approaches to judgment aggregation, as well as distance-based preference aggregation. They each guarantee group consistency and implement a range of distinct functions with different properties, broadening the available tools for social choice. A central result is that only one of these methods (not previously considered in the literature) satisfies three attractive properties for all reasonable metrics.

Original languageEnglish (US)
Pages (from-to)575-601
Number of pages27
JournalSocial Choice and Welfare
Volume32
Issue number4
DOIs
StatePublished - May 1 2009

All Science Journal Classification (ASJC) codes

  • Social Sciences (miscellaneous)
  • Economics and Econometrics

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