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An impossibility theorem for spatial models

Border, Kim C. (1984) An impossibility theorem for spatial models. Public Choice, 43 (3). pp. 293-305. ISSN 0048-5829. https://resolver.caltech.edu/CaltechAUTHORS:20171004-145251315

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Abstract

This paper examines the implications for social welfare functions of restricting the domain of individual preferences to type-one preferences. Type-one preferences assume that each person has a most preferred alternative in a euclidean space and that alternatives are ranked according to their euclidean distance from this point. The result is that if we impose Arrow's conditions of collective rationality, IIA, and the Pareto principle on the social welfare function, then it must be dictatorial. This result may not seem surprising, but it stands in marked contrast to the problem considered by Gibbard and Satterthwaite of finding a social-choice function. With unrestricted domain, under the Gibbard-Satterthwaite hypotheses, choices must be dictatorial. With type-one preferences this result has been previously shown not to be true. This finding identifies a significant difference between the Arrow and Gibbard-Satterthwaite problems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/BF00118938DOIArticle
https://link.springer.com/article/10.1007%2FBF00118938PublisherArticle
http://resolver.caltech.edu/CaltechAUTHORS:20171002-150117835Related ItemWorking Paper
ORCID:
AuthorORCID
Border, Kim C.0000-0003-4437-0524
Additional Information:© 1984 Martinus Nijhoff Publishers.
Issue or Number:3
Record Number:CaltechAUTHORS:20171004-145251315
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171004-145251315
Official Citation:Border, K.C. Public Choice (1984) 43: 293. https://doi.org/10.1007/BF00118938
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82082
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Oct 2017 22:09
Last Modified:03 Oct 2019 18:50

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