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Mechanism Design with Multidimensional, Continuous Types and Interdependent Valuations

Author

Listed:
  • Miller, Nolan

    (Harvard U)

  • Pratt, John H.

    (Harvard U)

  • Zeckhauser, Richard

    (Harvard U)

  • Johnson, Scott

    (Australian National U)

Abstract
We consider the mechanism design problem when agents' types are multidimensional and continuous, and their valuations are interdependent. If there are at least three agents whose types satisfy a weak correlation condition, then for any decision rule there exist balanced transfers that render truthful revelation a Bayesian ?-equilibrium. A slightly stronger correlation condition ensures balanced transfers exist that induce a Bayesian Nash equilibrium in which agents' strategies are nearly truthful. This paper extends the analysis of KSG RWP03-020.

Suggested Citation

  • Miller, Nolan & Pratt, John H. & Zeckhauser, Richard & Johnson, Scott, 2006. "Mechanism Design with Multidimensional, Continuous Types and Interdependent Valuations," Working Paper Series rwp06-028, Harvard University, John F. Kennedy School of Government.
    • Handle: RePEc:ecl:harjfk:rwp06-028
    as

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    File URL: https://research.hks.harvard.edu/publications/workingpapers/citation.aspx?PubId=4038&type=WPN
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    References listed on IDEAS

    as
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    Cited by:

    1. , & ,, 2015. "Implementation with interdependent valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    2. Song, Yangwei, 2018. "Efficient implementation with interdependent valuations and maxmin agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 693-726.
    3. Guo, Huiyi, 2019. "Mechanism design with ambiguous transfers: An analysis in finite dimensional naive type spaces," Journal of Economic Theory, Elsevier, vol. 183(C), pages 76-105.
    4. Dobzinski, Shahar & Fu, Hu & Kleinberg, Robert, 2015. "Approximately optimal auctions for correlated bidders," Games and Economic Behavior, Elsevier, vol. 92(C), pages 349-369.
    5. Papakonstantinou, Athanasios & Bogetoft, Peter, 2017. "Multi-dimensional procurement auction under uncertain and asymmetric information," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1171-1180.
    6. Gizatulina, Alia & Hellwig, Martin, 2010. "Informational smallness and the scope for limiting information rents," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2260-2281, November.
    7. Hitoshi Matsushima & Shunya Noda, 2020. "Unique Information Elicitation," CARF F-Series CARF-F-496, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    8. Liu, Heng, 2018. "Efficient dynamic mechanisms in environments with interdependent valuations: the role of contingent transfers," Theoretical Economics, Econometric Society, vol. 13(2), May.
    9. Papakonstantinou, A. & Bogetoft, P., 2013. "Crowd-sourcing with uncertain quality - an auction approach," MPRA Paper 46055, University Library of Munich, Germany.
    10. Hitoshi Matsushima & Shunya Noda, 2020. "Epistemological Mechanism Design (Revised version of CARF-F-496)," CARF F-Series CARF-F-498, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Feb 2021.
    11. Matsushima, Hitoshi, 2022. "Epistemological implementation of social choice functions," Games and Economic Behavior, Elsevier, vol. 136(C), pages 389-402.
    12. Song, Yangwei, 2018. "Efficient Implementation with Interdependent Valuations and Maxmin Agents," Rationality and Competition Discussion Paper Series 92, CRC TRR 190 Rationality and Competition.
    13. Boaz Zik, 2023. "Efficient sequential screening with informational externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 567-590, February.

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    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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