The spatial model of social choice and voting
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Author/Creator
Author/Creator ORCID
Date
2015-12-18
Type of Work
Department
Program
Citation of Original Publication
Miller, Nicholas R. "Chapter 10: The spatial model of social choice and voting". In Handbook of Social Choice and Voting, (Cheltenham, UK: Edward Elgar Publishing, 2015) accessed Apr 4, 2023, https://doi.org/10.4337/9781783470730.00017
Rights
This is a draft chapter/article. The final version is available in Economics 2015 edited by Nicholas R. Miller, published in 2015, Edward Elgar Publishing Ltd https://doi.org/10.4337/9781783470730.00017. The material cannot be used for any other purpose without further permission of the publisher, and is for private use only.
Subjects
Abstract
This chapter presents the basic elements of the standard spatial model commonly that is used as a
framework for developing theories of legislative, electoral, and other forms of social choice and
voting and is increasingly used in empirical analysis as well. It introduces the concepts of singlepeaked and Euclidean preferences, win sets, the Condorcet winner, the core, median lines, the yolk,
and the uncovered set, and presents such foundational results as Black’s Median Voter Theorem,
Plott’s Majority Rule Equilibrium Theorem, McKelvey’s Global Cycling Theorem, and Greenberg’s
Core Existence Theorem.