Title
Aggregation of binary evaluations with abstentions
Abstract
A general model of aggregation of binary evaluations over interrelated issues, introduced by Wilson and further studied by Rubinstein and Fishburn and by the authors, is extended here to allow for abstentions on some of the issues. It is shown that the same structural conditions on the set of feasible evaluations that lead to dictatorship in the model without abstentions, lead to oligarchy in the presence of abstentions. Arrow's impossibility theorem for social welfare functions, Gibbard's oligarchy theorem for quasi-transitive social decision functions, as well as some apparently new theorems on preference aggregation, are obtained as corollaries.
Year
DOI
Venue
2010
10.1016/j.jet.2009.10.015
Journal of Economic Theory
Keywords
DocType
Volume
D71
Journal
145
Issue
ISSN
Citations 
2
0022-0531
22
PageRank 
References 
Authors
1.66
6
2
Name
Order
Citations
PageRank
Elad Dokow1849.39
Ron Holzman228743.78