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Nonbinary Social Choice: An Impossibility Theorem

Grether, David M. and Plott, Charles R. (1982) Nonbinary Social Choice: An Impossibility Theorem. Review of Economic Studies, 49 (1). pp. 143-149. ISSN 0034-6527.

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This paper contains a generalization of the General Possibility Theorem to situations where choice over two-element (more generally "small") sets is not possible. The analysis is developed in terms of the social choice function formulation rather than the social welfare function approach. In this formulation, assumptions concerning the size of sets of feasible alternatives are explicit, allowing the role of these assumptions in inducing impossibility results to be explored.

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Additional Information:© 1982 The Society for Economic Analysis Limited. First version received January 1980, final version accepted September 1981 (Eds.). The financial support of the National Science Foundation and the Caltech Program for Enterprise and Public Policy is gratefully acknowledged. We are also indebted to an anonymous referee who suggested an approach to the proof of the major theorem quite similar to that used in this version of the paper.
Group:Social Science Working Papers
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Caltech Program for Enterprise and Public PolicyUNSPECIFIED
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Other Numbering System NameOther Numbering System ID
Social Science Working Paper271
Issue or Number:1
Record Number:CaltechAUTHORS:20140225-154534366
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Official Citation:Nonbinary Social Choice: An Impossibility Theorem David M. Grether and Charles R. Plott The Review of Economic Studies , Vol. 49, No. 1 (Jan., 1982) , pp. 143-149 Published by: Oxford University Press Article Stable URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43996
Deposited On:26 Feb 2014 16:15
Last Modified:03 Oct 2019 06:13

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