Title
Sen’s theorem: geometric proof, new interpretations
Abstract
Sen’s classic social choice result supposedly demonstrates a conflict between Pareto and minimal forms of liberalism. By providing the first direct mathematical proof of this seminal result, we underscore a significantly different interpretation: rather than conflicts among rights, Sen’s result occurs because the liberalism assumption negates the requirement that voters have transitive preferences. This explanation enriches interpretations of Sen’s conclusion by introducing radically new kinds of societal conflicts, by suggesting ways to sidestep these difficulties, and by providing insight into other approaches that have been used to avoid the difficulties.
Year
DOI
Venue
2008
10.1007/s00355-007-0288-2
Social Choice and Welfare
Keywords
Field
DocType
social choice,decision theory,paradox
Welfare economics,Social choice theory,Mathematical economics,Economics,Mathematical proof,Decision theory,Liberalism,Pareto principle,Transitive relation
Journal
Volume
Issue
ISSN
31
3
1432-217X
Citations 
PageRank 
References 
3
0.95
1
Authors
2
Name
Order
Citations
PageRank
Lingfang (Ivy) Li1132.97
DONALD G. SAARI29929.14