On the Equivalence of Some Solution Concepts in Spatial Voting Theory

17 Pages Posted: 10 Dec 2010

See all articles by Valeriy M. Marakulin

Valeriy M. Marakulin

Sobolev Institute of Mathematics SB Russian Academy of Sciences; Novosibirsk State University

Alexei Zakharov

University of Chicago - Harris School of Public Policy

Date Written: December 9, 2010

Abstract

We prove that, for a spatial voting setting with convex preferences, the locally uncovered set, proposed by Schofield (1999), is closely related to the dimension-by-dimension median of Shepsle (1979). It is shown that every point in the interior of the locally uncovered set can be supported as a dimension-by-dimension median by some set of basis vectors for the space of alternatives. Moreover, for a two-dimensional policy space, the locally uncovered set and the set of dimension-by-dimension medians coincide.

Keywords: Majority Voting, Locally Uncovered Set, Dimension-By-Dimension Median

JEL Classification: D70, D71

Suggested Citation

Marakulin, Valeriy M. and Zakharov, Alexei, On the Equivalence of Some Solution Concepts in Spatial Voting Theory (December 9, 2010). Available at SSRN: https://ssrn.com/abstract=1722715 or http://dx.doi.org/10.2139/ssrn.1722715

Valeriy M. Marakulin (Contact Author)

Sobolev Institute of Mathematics SB Russian Academy of Sciences ( email )

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Novosibirsk, Novosibirsk oblast 630090
Russia
+7(383)329 75 27 (Phone)
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HOME PAGE: http://www.math.nsc.ru/~mathecon/marakENG.html

Novosibirsk State University ( email )

2 Pirogova Street
Novosibirsk, 630090
Russia

Alexei Zakharov

University of Chicago - Harris School of Public Policy ( email )

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