A unifying impossibility theorem

Man, Priscilla T. Y. and Takayama, Shino (2013) A unifying impossibility theorem. Economic Theory, 54 2: 249-271. doi:10.1007/s00199-013-0750-6

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Author Man, Priscilla T. Y.
Takayama, Shino
Title A unifying impossibility theorem
Journal name Economic Theory   Check publisher's open access policy
ISSN 0938-2259
Publication date 2013-10
Year available 2013
Sub-type Article (original research)
DOI 10.1007/s00199-013-0750-6
Open Access Status
Volume 54
Issue 2
Start page 249
End page 271
Total pages 23
Place of publication Heidelberg, Germany
Publisher Springer
Collection year 2014
Language eng
Formatted abstract
This paper identifies and illuminates a common impossibility principle underlying a number of impossibility theorems in social choice. We consider social choice correspondences assigning a choice set to each non-empty subset of social alternatives. Three simple axioms are imposed as follows: unanimity, independence of preferences over infeasible alternatives, and choice consistency with respect to choices out of all possible alternatives. With more than three social alternatives and the universal preference domain, any social choice correspondence that satisfies our axioms is serially dictatorial. A number of known impossibility theorems—including Arrow’s Impossibility Theorem, the Muller–Satterthwaite Theorem, and the impossibility theorem under strategic candidacy—follow as corollaries.
Keyword Impossibility theorem
Independence of infeasible alternatives
Independence of losing alternatives
Social choice
Gibbard Satterthwaite Theorem
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2014 Collection
School of Economics Publications
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 7 times in Scopus Article | Citations
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Created: Sun, 27 Oct 2013, 00:05:29 EST by System User on behalf of School of Economics