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Local vs. global strategy-proofness: A new equivalence result for ordinal mechanisms

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  • Liu, Peng

Abstract

We study two incentive compatibility notions of ordinal mechanisms: strategy-proofness and a new notion of local strategy-proofness, called block-adjacent strategy-proofness, which requires no gain by a flip of two adjacent blocks. A condition on the preference domain called path-nestedness is identified as sufficient for the equivalence between these two notions.

Suggested Citation

  • Liu, Peng, 2020. "Local vs. global strategy-proofness: A new equivalence result for ordinal mechanisms," Economics Letters, Elsevier, vol. 189(C).
    • Handle: RePEc:eee:ecolet:v:189:y:2020:i:c:s0165176520300380
    DOI: 10.1016/j.econlet.2020.109008
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    References listed on IDEAS

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    1. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
    2. 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.
    3. Cho, Wonki Jo, 2016. "Incentive properties for ordinal mechanisms," Games and Economic Behavior, Elsevier, vol. 95(C), pages 168-177.
    4. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    5. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-681, April.
    6. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    7. Gabriel Carroll, 2012. "When Are Local Incentive Constraints Sufficient?," Econometrica, Econometric Society, vol. 80(2), pages 661-686, March.
    8. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    More about this item

    Keywords

    Ordinal mechanism; Block-adjacent strategy-proofness; Path-nested;
    All these keywords.

    JEL classification:

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

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