Synthese

, Volume 163, Issue 1, pp 1–24

Decision framing in judgment aggregation

Article

DOI: 10.1007/s11229-008-9306-x

Cite this article as:
Cariani, F., Pauly, M. & Snyder, J. Synthese (2008) 163: 1. doi:10.1007/s11229-008-9306-x

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.

Keywords

Social choice theory Judgment aggregation Translation Language dependence 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of California, BerkeleyBerkeleyUSA
  2. 2.Stanford UniversityStanfordUSA