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Preference Restrictions for Simple and Strategy-Proof Rules: Local and Weakly Single-Peaked Domains

Author

Listed:
  • Agustín G Bonifacio
  • Jordi Massó
  • Pablo Neme

Abstract

We show that if a rule is strategy-proof, unanimous, anonymous and tops-only, then the preferences in its domain have to be local and weakly single-peaked, relative to a family of partial orders obtained from the rule by confronting at most three alternatives with distinct levels of support. Moreover, if this domain is enlarged by adding a non local and weakly single-peaked preference, then the rule becomes manipulable. We finally show that local and weak single-peakedness constitutes a weakening of known and well-studied restricted domains of preferences.

Suggested Citation

  • Agustín G Bonifacio & Jordi Massó & Pablo Neme, 2022. "Preference Restrictions for Simple and Strategy-Proof Rules: Local and Weakly Single-Peaked Domains," Working Papers 1324, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:1324
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    References listed on IDEAS

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    More about this item

    Keywords

    single-peakedness; strategy-proofness; anonymity; unanimity; tops-onlyness;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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