On the Equivalence of Some Solution Concepts in Spatial Voting Theory
17 Pages Posted: 10 Dec 2010
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: Suggested Citation