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Implementation in undominated strategies by bounded mechanisms: The Pareto correspondence and a generalization

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  • Mukherjee, Saptarshi
  • Muto, Nozomu
  • Ramaekers, Eve
  • Sen, Arunava

Abstract

We show that the Pareto correspondence can be implemented in weakly undominated strategies by bounded mechanisms. This resolves a question raised in Börgers (1991). The result is also extended to show that all social choice correspondences satisfying tops-inclusivity and a requirement called the seconds-property can be implemented.

Suggested Citation

  • Mukherjee, Saptarshi & Muto, Nozomu & Ramaekers, Eve & Sen, Arunava, 2019. "Implementation in undominated strategies by bounded mechanisms: The Pareto correspondence and a generalization," Journal of Economic Theory, Elsevier, vol. 180(C), pages 229-243.
    • Handle: RePEc:eee:jetheo:v:180:y:2019:i:c:p:229-243
    DOI: 10.1016/j.jet.2018.12.010
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    References listed on IDEAS

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    1. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    2. Matsushima, Hitoshi, 2008. "Role of honesty in full implementation," Journal of Economic Theory, Elsevier, vol. 139(1), pages 353-359, March.
    3. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    4. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
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    6. Borgers, Tilman, 1993. "Pure Strategy Dominance," Econometrica, Econometric Society, vol. 61(2), pages 423-430, March.
    7. Mukherjee, Saptarshi & Muto, Nozomu & Ramaekers, Eve, 2017. "Implementation in undominated strategies with partially honest agents," Games and Economic Behavior, Elsevier, vol. 104(C), pages 613-631.
    8. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-681, April.
    9. 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.
    10. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    11. Takuro Yamashita, 2015. "Implementation in Weakly Undominated Strategies: Optimality of Second-Price Auction and Posted-Price Mechanism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 1223-1246.
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    Cited by:

    1. Mukherjee, Saptarshi, 2018. "Implementation in undominated strategies by bounded mechanisms: Some results on compromise alternatives," Research in Economics, Elsevier, vol. 72(3), pages 384-391.
    2. Korpela, Ville & Lombardi, Michele & Saulle, Riccardo D., 2024. "Designing rotation programs: Limits and possibilities," Games and Economic Behavior, Elsevier, vol. 143(C), pages 77-102.

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    More about this item

    Keywords

    Implementation in undominated strategies; Bounded mechanisms; Pareto correspondence;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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