Title
Aggregation of binary evaluations for truth-functional agendas
Abstract
In the problem of judgment aggregation, a panel of judges has to evaluate each proposition in a given agenda as true or false, based on their individual evaluations and subject to the constraint of logical consistency. We elaborate on the relation between this and the problem of aggregating abstract binary evaluations. For the special case of truth-functional agendas we have the following main contributions: (1) a syntactical characterization of agendas for which the analogs of Arrow’s aggregation conditions force dictatorship; (2) a complete classification of all aggregators that satisfy those conditions; (3) an analysis of the effect of weakening the Pareto condition to surjectivity.
Year
DOI
Venue
2009
10.1007/s00355-008-0320-1
Social Choice and Welfare
Keywords
Field
DocType
satisfiability
Welfare economics,Mathematical economics,Arrow's impossibility theorem,Proposition,Arrow,Logical consistency,Judgment aggregation,Mathematics,Pareto principle,Binary number,Special case
Journal
Volume
Issue
ISSN
32
2
1432-217X
Citations 
PageRank 
References 
9
1.11
5
Authors
2
Name
Order
Citations
PageRank
Elad Dokow1849.39
Ron Holzman228743.78