Judgment aggregators and Boolean algebra homomorphisms

Herzberg F (2009) Working Papers. Institute of Mathematical Economics; 414.
Bielefeld: Universität Bielefeld.

Download
OA
Working Paper | Published | English
Author
Abstract
The theory of Boolean algebras can be fruitfully applied to judgment aggregation: Assuming universality, systematicity and a sufficiently rich agenda, there is a correspondence between (i) non-trivial deductively closed judgment aggregators and (ii) Boolean algebra homomorphisms defined on the power-set algebra of the electorate. Furthermore, there is a correspondence between (i) consistent complete judgment aggregators and (ii) 2-valued Boolean algebra homomorphisms defined on the power-set algebra of the electorate. Since the shell of such a homomorphism equals the set of winning coalitions and since (ultra)filters are shells of (2-valued) Boolean algebra homomorphisms, we suggest an explanation for the effectiveness of the (ultra)filter method in social choice theory.
Publishing Year
ISSN
PUB-ID

Cite this

Herzberg F. Judgment aggregators and Boolean algebra homomorphisms. Working Papers. Institute of Mathematical Economics. Vol 414. Bielefeld: Universität Bielefeld; 2009.
Herzberg, F. (2009). Judgment aggregators and Boolean algebra homomorphisms (Working Papers. Institute of Mathematical Economics, 414). Bielefeld: Universität Bielefeld.
Herzberg, F. (2009). Judgment aggregators and Boolean algebra homomorphisms. Working Papers. Institute of Mathematical Economics, 414, Bielefeld: Universität Bielefeld.
Herzberg, F., 2009. Judgment aggregators and Boolean algebra homomorphisms, Working Papers. Institute of Mathematical Economics, no.414, Bielefeld: Universität Bielefeld.
F. Herzberg, Judgment aggregators and Boolean algebra homomorphisms, Working Papers. Institute of Mathematical Economics, vol. 414, Bielefeld: Universität Bielefeld, 2009.
Herzberg, F.: Judgment aggregators and Boolean algebra homomorphisms. Working Papers. Institute of Mathematical Economics, 414. Universität Bielefeld, Bielefeld (2009).
Herzberg, Frederik. Judgment aggregators and Boolean algebra homomorphisms. Bielefeld: Universität Bielefeld, 2009. Working Papers. Institute of Mathematical Economics. 414.
Main File(s)
File Name
Access Level
OA Open Access
Last Uploaded
2016-01-19T16:01:38Z

This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Search this title in

Google Scholar