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

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  • Dolors Berga

    ()
    (Departament d'Economia, Universitat de Girona)

  • Bernardo Moreno

    ()
    (Department of Economic Theory, Universidad de Málaga)

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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File URL: http://webdeptos.uma.es/THEconomica/malagawpseries/Papers/METCwp2008-7.pdf
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Bibliographic Info

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
Date of revision:
Handle: RePEc:mal:wpaper:2008-7

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Keywords: Strategy-proof; Single-plateaued preferences; Single-peaked preferences; Maskin monotonicity; Non-bossiness; Plateau-invariance;

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References

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Citations

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Cited by:
  1. Bossert, Walter & Peters, Hans, 2013. "Single-plateaued choice," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 134-139.
  2. Bossert W. & Peters H.J.M., 2013. "Single-basined choice," Research Memorandum 030, Maastricht University, Graduate School of Business and Economics (GSBE).
  3. Katsuhiko Nishizaki, 2013. "An impossibility theorem for secure implementation in discrete public good economies," Economics Bulletin, AccessEcon, vol. 33(1), pages 300-308.
  4. John A. Weymark, 2011. "A Unified Approach to Strategy-Proofness for Single-Peaked Preferences," Vanderbilt University Department of Economics Working Papers 1101, Vanderbilt University Department of Economics.
  5. Dolors Berga & Bernardo Moreno, 2007. "Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences," Working Papers 325, Barcelona Graduate School of Economics.
  6. Katsuhiko Nishizaki, 2014. "An equivalence of secure implementability and full implementability in truthful strategies in pure exchange economies with Leontief utility functions," Review of Economic Design, Springer, vol. 18(1), pages 73-82, March.
  7. Ahmed Doghmi & Abderrahmane Ziad, 2013. "Nash Implementation in Private Good Economies with Single-Plateaued Preferences," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201311, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  8. Bettina Klaus & Olivier Bochet, 2010. "The Relation between Monotonicity and Strategy-Proofness," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 10.01, Université de Lausanne, Faculté des HEC, DEEP.

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