Decision framing in judgment aggregation

Fabrizio Cariani*, Marc Pauly, Josh Snyder

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Judgment aggregation problems are language dependent in that they may be framed in different yet equivalent ways. We formalize this dependence via the notion of translation invariance, adopted from the philosophy of science, and we argue for the normative desirability of translation invariance. We characterize the class of translation invariant aggregation functions in the canonical judgment aggregation model, which requires collective judgments to be complete. Since there are reasonable translation invariant aggregation functions, our result can be viewed as a possibility theorem. At the same time, we show that translation invariance does have certain normatively undesirable consequences (e.g. failure of anonymity). We present a way of circumventing them by moving to a more general model of judgment aggregation, one that allows for incomplete collective judgments.

Original languageEnglish (US)
Pages (from-to)1-24
Number of pages24
JournalSynthese
Volume163
Issue number1
DOIs
StatePublished - Jul 1 2008

Keywords

  • Judgment aggregation
  • Language dependence
  • Social choice theory
  • Translation

ASJC Scopus subject areas

  • Philosophy
  • Social Sciences(all)

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