Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences

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Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences

Author Info

Dolors Berga () (Departament d'Economia, Universitat de Girona)
Bernardo Moreno () (Department of Economic Theory, Universidad de Málaga)

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Bernardo Moreno

Abstract

We concentrate on the problem of the provision of one pure public good whenever agents that form the society have either single-plateaued preferences or single-peaked preferences over the set of alternatives. We are interested in comparing the relationships between different nonmanipulability notions under these two domains. On the single-peaked domain, under strategy-proofness, non-bossiness is equivalent to convexity of the range. Thus, minmax rules are the only strategy-proof non-bossy rules. On the single-plateaued domain, only constant rules are non-bossy or Maskin monotonic; but strategy-proofness and weak non-bossiness are equivalent to weak Maskin monotonicity. Moreover, strategy-proofness and plateau-invariance guarantee convexity of the range.

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Paper provided by Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center in its series Working Papers with number 2008-7.

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Length: 27 pages
Date of creation: Apr 2008
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Handle: RePEc:mal:wpaper:2008-7

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Article
- Dolors Berga & Bernardo Moreno, 2009. "Strategic requirements with indifference: single-peaked versus single-plateaued preferences," Social Choice and Welfare, Springer, vol. 32(2), pages 275-298, February. [Downloadable!] (restricted)

Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

This paper has been announced in the following NEP Reports:

NEP-ALL-2008-04-21 (All new papers)
NEP-CDM-2008-04-21 (Collective Decision-Making)

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