Single-Crossing, Strategic Voting and the Median Choice Rule
AbstractThis paper studies the strategic foundations of the Representative Voter Theorem (Rothstein, 1991), also called the "second version" of the Median Voter Theorem. As a by-product, it also considers the existence of non-trivial strategy-proof social choice functions over the domain of single-crossing preference profiles. The main result presented here is that single-crossing preferences constitute a domain restriction on the real line that allows not only majority voting equilibria, but also non-manipulable choice rules. In particular, this is true for the median choice rule, which is found to be strategy-proof and group-strategic-proof not only over the full set of alternatives, but also over every possible policy agenda. The paper also shows the close relation between single-crossing and order-restriction. And it uses this relation together with the strategy-proofness of the median choice rule to prove that the collective outcome predicted by the Representative Voter Theorem can be implemented in dominant strategies through a simple mechanism in which, first, individuals select a representative among themselves, and then the representative voter chooses a policy to be implemented by the planner.
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Bibliographic InfoPaper provided by Universidad del CEMA in its series CEMA Working Papers: Serie Documentos de Trabajo. with number 237.
Date of creation: Jul 2003
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More information through EDIRC
Single-crossing; order-restriction; median voter; strategyproofness.;
Other versions of this item:
- Alejandro Saporiti & Fernando Tohmé, 2006. "Single-Crossing, Strategic Voting and the Median Choice Rule," Social Choice and Welfare, Springer, vol. 26(2), pages 363-383, April.
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-06-25 (All new papers)
- NEP-CDM-2003-06-25 (Collective Decision-Making)
- NEP-POL-2003-06-25 (Positive Political Economics)
- NEP-URE-2003-06-25 (Urban & Real Estate Economics)
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