Methods for distance-based judgment aggregation

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Reliable Methods of Judgment Aggregation.Stephan Hartmann, Gabriella Pigozzi & Jan Sprenger - 2007 - Journal for Logic and Computation 20:603--617.
Arrow's theorem in judgment aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
The premiss-based approach to judgment aggregation.Franz Dietrich & Philippe Mongin - 2010 - Journal of Economic Theory 145 (2):562-582.
Judgment aggregation: (Im)possibility theorems.Franz Dietrich - 2006 - Journal of Economic Theory 1 (126):286-298.
Introduction to judgment aggregation.Christian List & Ben Polak - 2010 - Journal of Economic Theory 145 (2):441-466.

Analytics

Added to PP
2010-12-22

Downloads
38 (#363,694)

6 months
5 (#244,107)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Groups with minds of their own.Philip Pettit - 2003 - In Alvin I. Goldman & Dennis Whitcomb (eds.), Social Epistemology: Essential Readings. Oxford University Press.
Arrow's theorem in judgment aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.

View all 25 references / Add more references