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Brief proofs of Arrovian impossibility theorems

Brief proofs of Arrovian impossibility theorems Since Kenneth Arrow showed the general possibility theorem, a number of social choice theorists have provided alternative proofs of it. In a recent article, Geanakoplos (Econ Theory 26:211–215, 2005) has constructed a new proof of the theorem. The present article provides alternative proofs of various Arrovian impossibility results from the 1960s to the 1970s by utilizing Geanakoplos’s method. We prove semi-order impossibility theorems, the quasi-transitive veto theorem, the quasi-transitive dictatorship theorem, the triple acyclic veto theorem, and the impossibility theorem without the Pareto principle. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Social Choice and Welfare Springer Journals

Brief proofs of Arrovian impossibility theorems

Social Choice and Welfare , Volume 35 (2) – Feb 14, 2010

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References (45)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Springer-Verlag
Subject
Economics; Economic Theory/Quantitative Economics/Mathematical Methods; Public Finance; Political Economy; Game Theory, Economics, Social and Behav. Sciences; Social Policy
ISSN
0176-1714
eISSN
1432-217X
DOI
10.1007/s00355-010-0440-2
Publisher site
See Article on Publisher Site

Abstract

Since Kenneth Arrow showed the general possibility theorem, a number of social choice theorists have provided alternative proofs of it. In a recent article, Geanakoplos (Econ Theory 26:211–215, 2005) has constructed a new proof of the theorem. The present article provides alternative proofs of various Arrovian impossibility results from the 1960s to the 1970s by utilizing Geanakoplos’s method. We prove semi-order impossibility theorems, the quasi-transitive veto theorem, the quasi-transitive dictatorship theorem, the triple acyclic veto theorem, and the impossibility theorem without the Pareto principle.

Journal

Social Choice and WelfareSpringer Journals

Published: Feb 14, 2010

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