A Unified Approach to Strategy-Proofness for Single-Peaked Preferences

John Weymark

No 1101, Vanderbilt University Department of Economics Working Papers from Vanderbilt University Department of Economics

Abstract: This article establishes versions of Moulin's [On strategy-proofness and single peakedness, Public Choice 35 (1980), 31--38] characterizations of various classes of strategy-proof social choice functions when the domain consists of all profiles of single-peaked preferences on an arbitrary subset of the real line. Two results are established that show that the median of 2n+1 numbers can be expressed using a combination of minimization and maximization operations applied to subsets of these numbers when either these subsets or the numbers themselves are restricted in a particular way. These results are used to show how Moulin's characterizations of generalized median social choice functions can be obtained as corollaries of his characterization of min-max social choice functions.

Keywords: Generalized median social choice functions; Moulin; min-max rules; single-peaked preferences; strategy-proofness (search for similar items in EconPapers)
JEL-codes: D71 D82 (search for similar items in EconPapers)
Date: 2011-01
New Economics Papers: this item is included in nep-cdm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (22)

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http://www.accessecon.com/pubs/VUECON/vu11-w01.pdf First version, January 2011 (application/pdf)

Related works:
Journal Article: A unified approach to strategy-proofness for single-peaked preferences (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:van:wpaper:1101

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