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

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  • Dolors Berga
  • 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-bossyness is equivalent to convex 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-bossy are equivalent to strict Maskin monotonicity. Moreover, strategy-proofness and plateau-invariant guarantee convexity of the range.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 325.

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Date of creation: Dec 2007
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Handle: RePEc:bge:wpaper:325

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Keywords: Strategy-proof; Single-plateaued preferences; Single-peaked prefer-ences; Maskin monotonicity; Non-bossyness; Plateau-invariance.;

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References

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Citations

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Cited by:
  1. 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.
  2. 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.
  3. BOSSERT, Walter & PETERS, Hans, 2013. "Single-basined choice," Cahiers de recherche 2013-03, Universite de Montreal, Departement de sciences economiques.
  4. Bossert Walter & Peters Hans, 2012. "Single-plateaued choice," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. 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.
  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. 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.
  8. Katsuhiko Nishizaki, 2013. "An impossibility theorem for secure implementation in discrete public good economies," Economics Bulletin, AccessEcon, vol. 33(1), pages 300-308.

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