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Straightforward Elections, Unanimity and Phantom Voters

Border, Kim C. and Jordan, J. S. (1983) Straightforward Elections, Unanimity and Phantom Voters. Review of Economic Studies, 50 (1). pp. 153-170. ISSN 0034-6527. doi:10.2307/2296962. https://resolver.caltech.edu/CaltechAUTHORS:20171116-170213213

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Abstract

Non-manipulable direct revelation social choice functions are characterized for societies where the space of alternatives is a euclidean space and all voters have separable star-shaped preferences with a global optimum. If a non-manipulable choice function satisfies a weak unanmity-respecting condition (which is equivalent to having an unrestricted range) then it will depend only on voters' ideal points. Further, such a choice function will decompose into a product of one-dimensional mechanisms in the sense that each coordinate of the chosen point depends only on the respective coordinate of the voters' ideal points. Each coordinate function will also be non-manipulable and respect unanimity. Such one-dimensional mechanisms are uncompromising in the sense that voters cannot take an extreme position to influence the choice to their advantage. Two characterizations of uncompromising choice functions are presented. One is in terms of a continuity condition, the other in terms of “phantom voters” i.e. those points which are chosen which are not any voter's ideal point. There are many such mechanisms which are not dictatorial. However, if differentiability is required of the choice function, this forces it to be either constant or dictatorial. In the multidimensional case, non-separability of preferences leads to dictatorship, even if preferences are restricted to be quadratic.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.2307/2296962DOIArticle
https://academic.oup.com/restud/article-abstract/50/1/153/1568395PublisherArticle
http://resolver.caltech.edu/CaltechAUTHORS:20171005-161613179Related ItemWorking Paper
ORCID:
AuthorORCID
Border, Kim C.0000-0003-4437-0524
Additional Information:© 1983 The Society for Economic Analysis Limited. First version received May 1981; final version accepted August 1982 (Eds.) We are indebted to Eric Maskin for referring us to an early version of this work. We would like to thank an anonymous referee for helping to clarify the statement of Corollary 4. Formerly SSWP 376
Issue or Number:1
DOI:10.2307/2296962
Record Number:CaltechAUTHORS:20171116-170213213
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171116-170213213
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83274
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:17 Nov 2017 23:17
Last Modified:15 Nov 2021 19:56

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