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
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
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)
Journal Article: Strategic requirements with indifference: single-peaked versus single-plateaued preferences (2009)
Working Paper: Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:mal:wpaper:2008-7
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