IDEAS home Printed from https://ideas.repec.org/p/ash/wpaper/99.html
   My bibliography  Save this paper

Selecting a Winner with External Referees

Author

Listed:
  • Francis Bloch

    (University Paris and Paris School of Economics)

  • Bhaskar Dutta

    (University of Warwick and Ashoka University)

  • Marcin Dziubinski

    (Institute of Informatics, University of Warsaw)

Abstract

We consider a problem of mechanism design without money, where a planner selects a winner among a set of agents with binary types and receives outside signals (like the report of external referees). We show that there is a gap between the optimal Dominant Strategy Incentive Compatible (DSIC) mechanism and the optimal Bayesian Incentive Compatible (BIC) mechanism. In the optimal BIC mechanism, the planner can leverage the outside signal to elicit information about agents' types. BIC mechanisms are lexicographic mechanisms, where the planner first shortlists agents who receive high reports from the referees and then uses agents' reports to break ties among agents in the shortlist. We compare the \self-evaluation" mechanism with a "peer evaluation" mechanism where agents evaluate other agents, and show that for the same signal precision, the self- evaluation mechanism outperforms the peer evaluation mechanism. We show that optimal Ex Post Incentive Compatible (EPIC) mechanisms give the planner an intermediate value between the optimal DSIC and BIC mechanisms.

Suggested Citation

  • Francis Bloch & Bhaskar Dutta & Marcin Dziubinski, 2023. "Selecting a Winner with External Referees," Working Papers 99, Ashoka University, Department of Economics.
  • Handle: RePEc:ash:wpaper:99
    as

    Download full text from publisher

    File URL: https://dp.ashoka.edu.in/ash/wpaper/paper99_0.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pereyra, Juan Sebastián & Silva, Francisco, 2023. "Optimal assignment mechanisms with imperfect verification," Theoretical Economics, Econometric Society, vol. 18(2), May.
    2. Börgers, Tilman & Postl, Peter, 2009. "Efficient compromising," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2057-2076, September.
    3. Hafalir, Isa & Miralles, Antonio, 2015. "Welfare-maximizing assignment of agents to hierarchical positions," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 253-270.
    4. Mackenzie, Andrew, 2015. "Symmetry and impartial lotteries," Games and Economic Behavior, Elsevier, vol. 94(C), pages 15-28.
    5. Mark A. Satterthwaite & Hugo Sonnenschein, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 587-597.
    6. Elchanan Ben-Porath & Eddie Dekel & Barton L. Lipman, 2014. "Optimal Allocation with Costly Verification," American Economic Review, American Economic Association, vol. 104(12), pages 3779-3813, December.
    7. Ron Holzman & Hervé Moulin, 2013. "Impartial Nominations for a Prize," Econometrica, Econometric Society, vol. 81(1), pages 173-196, January.
    8. Deniz Kattwinkel & Jan Knoepfle, 2023. "Costless Information and Costly Verification: A Case for Transparency," Journal of Political Economy, University of Chicago Press, vol. 131(2), pages 504-548.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bloch, Francis & Dutta, Bhaskar & Dziubiński, Marcin, 2023. "Selecting a winner with external referees," Journal of Economic Theory, Elsevier, vol. 211(C).
    2. EHLERS, Lars & MAJUMDAR, Dipjyoti & MISHRA, Debasis & SEN, Arunava, 2016. "Continuity and incentive compatibility," Cahiers de recherche 2016-04, Universite de Montreal, Departement de sciences economiques.
    3. Ehlers, Lars & Majumdar, Dipjyoti & Mishra, Debasis & Sen, Arunava, 2020. "Continuity and incentive compatibility in cardinal mechanisms," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 31-41.
    4. Lars EHLERS & Dipjyoti MAJUMDAR & Debasis MISHRA & Arunava SEN, 2016. "Continuity and Incentive Compatibility in Cardinal Voting Mechanisms," Cahiers de recherche 04-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    5. Christoph Carnehl & Marco Ottaviani & Justus Preusser, 2024. "Designing Scientific Grants," NBER Chapters, in: Entrepreneurship and Innovation Policy and the Economy, volume 4, pages 139-178, National Bureau of Economic Research, Inc.
    6. Axel Niemeyer & Justus Preusser, 2023. "Simple Allocation with Correlated Types," CRC TR 224 Discussion Paper Series crctr224_2023_486, University of Bonn and University of Mannheim, Germany.
    7. Christoph Carnehl & Marco Ottaviani & Justus Preusser, 2024. "Designing Scientific Grants," Papers 2410.12356, arXiv.org.
    8. Takahiro Suzuki & Masahide Horita, 2025. "Sabotage-proof social ranking solutions," Theory and Decision, Springer, vol. 98(2), pages 205-224, March.
    9. Amorós, Pablo, 2022. "Implementation in dominant strategies of quota rules to choose one candidate," Economics Letters, Elsevier, vol. 216(C).
    10. Albin Erlanson & Andreas Kleiner, 2024. "Optimal allocations with capacity constrained verification," Papers 2409.02031, arXiv.org.
    11. Amorós, Pablo, 2020. "Using sub-majoritarian rules to select the winner of a competition," Economics Letters, Elsevier, vol. 190(C).
    12. Amorós, Pablo, 2021. "Using supermajority rules to aggregate judgments of possibly biased experts," Economics Letters, Elsevier, vol. 207(C).
    13. Deniz Kattwinkel & Justus Preusser, 2025. "The Division of Surplus and the Burden of Proof," Papers 2501.14686, arXiv.org, revised Mar 2025.
    14. Javier Cembrano & Felix Fischer & Max Klimm, 2023. "Improved Bounds for Single-Nomination Impartial Selection," Papers 2305.09998, arXiv.org.
    15. Pablo Amorós, 2020. "Aggregating experts’ opinions to select the winner of a competition," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 833-849, September.
    16. Edelman, Paul H. & Por, Attila, 2021. "A new axiomatic approach to the impartial nomination problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 443-451.
    17. Matthew Olckers & Toby Walsh, 2022. "Manipulation and Peer Mechanisms: A Survey," Papers 2210.01984, arXiv.org, revised May 2024.
    18. Javier Cembrano & Felix Fischer & Max Klimm, 2023. "Optimal Impartial Correspondences," Papers 2301.04544, arXiv.org.
    19. Andrew Mackenzie, 2020. "An axiomatic analysis of the papal conclave," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(3), pages 713-743, April.
    20. Cembrano, Javier & Fischer, Felix & Hannon, David & Klimm, Max, 2024. "Impartial selection with additive guarantees via iterated deletion," Games and Economic Behavior, Elsevier, vol. 144(C), pages 203-224.

    More about this item

    Keywords

    Mechanism design without money;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ash:wpaper:99. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ashoka University (email available below). General contact details of provider: https://www.ashoka.edu.in .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.