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A sufficient condition for the equivalence of strategy-proofness and nonmanipulability by preferences adjacent to the sincere one

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  • Sato, Shin

Abstract

I consider whether the agentsʼ reluctance to make a large lie is helpful for the rule designer to construct a nonmanipulable rule. For this purpose, I study an axiom, called AM-proofness, saying that manipulation cannot occur through preferences adjacent to the sincere one. Through examples, I give rationales for AM-proofness. My main result is a sufficient condition on a domain for the equivalence of AM-proofness and strategy-proofness. I show that the sufficient condition is satisfied by the universal domain and the domain of single-peaked preferences. Over such domains, all results about strategy-proofness can be restated with AM-proofness.

Suggested Citation

  • Sato, Shin, 2013. "A sufficient condition for the equivalence of strategy-proofness and nonmanipulability by preferences adjacent to the sincere one," Journal of Economic Theory, Elsevier, vol. 148(1), pages 259-278.
    • Handle: RePEc:eee:jetheo:v:148:y:2013:i:1:p:259-278
    DOI: 10.1016/j.jet.2012.12.001
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    More about this item

    Keywords

    Adjacent manipulation; AM-proofness; Single-peaked preferences; Strategy-proofness;
    All these keywords.

    JEL classification:

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

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