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Strategy-Proofness and Single-Crossing

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Author Info
Alejandro Saporiti () (School of Social Sciences, University of Manchester, Arthur Lewis Building, M13 9PL Manchester, United Kingdom)

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Abstract

This paper analyzes strategy-proof collective choice rules when individuals have single-crossing preferences on a finite and ordered set of social alternatives. It shows that a social choice rule is anonymous, unanimous and strategy-proof on a maximal single-crossing domain if and only if it is an extended median rule with n - 1 fixed ballots located at the end points of the set of alternatives. As a by-product, the paper also proves that strategy-proofness implies the tops-only property. And it offers a strategic foundation for the so called "single-crossing version" of the Median Voter Theorem, by showing that the median ideal point can be implemented in dominant strategies by a direct mechanism in which every individual reveals his true preferences.

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Publisher Info
Paper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP55.

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Length: 44 pages
Date of creation: Mar 2008
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Handle: RePEc:roc:wallis:wp55

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Postal: UNIVERSITY OF ROCHESTER, Wallis Institute, HARKNESS 109B ROCHESTER NEW YORK 14627 U.S.A.

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Related research
Keywords: Strategy-proofness single-crossing median voter positional dictators

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation

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  1. 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. [Downloadable!] (restricted)
    Other versions:
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