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

Dolors Berga and Bernardo Moreno ()

No 2008-7, Working Papers from Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center

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.

Keywords: Strategy-proof; Single-plateaued preferences; Single-peaked preferences; Maskin monotonicity; Non-bossiness; Plateau-invariance (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2008-04
New Economics Papers: this item is included in nep-cdm
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https://theeconomics.uma.es/malagawpseries/Papers/METCwp2008-7.pdf First version, 2008 (application/pdf)

Related works:
Journal Article: Strategic requirements with indifference: single-peaked versus single-plateaued preferences (2009) Downloads
Working Paper: Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences (2007) Downloads
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