IDEAS home Printed from https://ideas.repec.org/p/pen/papers/05-016.html
   My bibliography  Save this paper

Aggregation of Expert Opinions

Author

Listed:
  • Dino Gerardi

    (Department of Economics, Yale University)

  • Richard McLean

    (Department of Economics, Rutgers University)

  • Andrew Postlewaite

    (Department of Economics, University of Pennsylvania)

Abstract

Conflicts of interest arise between a decision maker and agents who have information pertinent to the problem because of differences in their preferences over outcomes. We show how the decision maker can extract the information by distorting the decisions that will be taken, and show that only slight distortions will be necessary when agents are informationally small. We further show that as the number of informed agents becomes large the necessary distortion goes to zero. We argue that the particular mechanisms analyzed are substantially less demanding informationally than those typically employed in implementation and virtual implementation. In particular, the equilibria we analyze are conditionally dominant strategy in a precise sense. Further, the mechanisms are immune to manipulation by small groups of agents.

Suggested Citation

  • Dino Gerardi & Richard McLean & Andrew Postlewaite, 2005. "Aggregation of Expert Opinions," PIER Working Paper Archive 05-016, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  • Handle: RePEc:pen:papers:05-016
    as

    Download full text from publisher

    File URL: https://economics.sas.upenn.edu/sites/default/files/filevault/working-papers/05-016.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
    2. , & ,, 2015. "Implementation with interdependent valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    3. Richard McLean & Andrew Postlewaite, 2004. "Informational Size and Efficient Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 809-827.
    4. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
    5. Marco Ottaviani & Peter Norman Sørensen, 2006. "Reputational cheap talk," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 155-175, March.
    6. Wolinsky, Asher, 2002. "Eliciting information from multiple experts," Games and Economic Behavior, Elsevier, vol. 41(1), pages 141-160, October.
    7. Gul, Faruk & Postlewaite, Andrew, 1992. "Asymptotic Efficiency in Large Exchange Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 60(6), pages 1273-1292, November.
    8. Ottaviani, Marco & Sorensen, Peter Norman, 2006. "Professional advice," Journal of Economic Theory, Elsevier, vol. 126(1), pages 120-142, January.
    9. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
    10. Richard McLean & Andrew Postlewaite, 2002. "Informational Size and Incentive Compatibility," Econometrica, Econometric Society, vol. 70(6), pages 2421-2453, November.
    11. Serrano, Roberto & Vohra, Rajiv, 2005. "A characterization of virtual Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 50(2), pages 312-331, February.
    12. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    13. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
    14. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    15. Battaglini Marco, 2004. "Policy Advice with Imperfectly Informed Experts," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-34, April.
    16. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
    17. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
    18. Austen-Smith David, 1993. "Interested Experts and Policy Advice: Multiple Referrals under Open Rule," Games and Economic Behavior, Elsevier, vol. 5(1), pages 3-43, January.
    19. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    20. Krishna, Vijay, 2001. "Asymmetric Information and Legislative Rules: Some Amendments," American Political Science Review, Cambridge University Press, vol. 95(2), pages 435-452, June.
    21. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    22. Timothy Feddersen & Wolfgang Pesendorfer, 1996. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts," Discussion Papers 1170, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    23. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tilman Klumpp, 2007. "Communication in financial markets with several informed traders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 437-456, December.
    2. Jackson, Matthew O. & Tan, Xu, 2013. "Deliberation, disclosure of information, and voting," Journal of Economic Theory, Elsevier, vol. 148(1), pages 2-30.
    3. Pablo Amorós, 2013. "Picking the winners," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 845-865, November.
    4. Casamatta, Catherine & Haritchabalet, Carole, 2007. "Experience, screening and syndication in venture capital investments," Journal of Financial Intermediation, Elsevier, vol. 16(3), pages 368-398, July.
    5. Irene Valsecchi, 2013. "The expert problem: a survey," Economics of Governance, Springer, vol. 14(4), pages 303-331, November.
    6. Tombazos, Christis G. & Dobra, Matthew, 2014. "Formulating research policy on expert advice," European Economic Review, Elsevier, vol. 72(C), pages 166-181.
    7. Dezsö Szalay & Ramon Arean, 2005. "Communicating with a Team of Experts," Cahiers de Recherches Economiques du Département d'économie 05.12, Université de Lausanne, Faculté des HEC, Département d’économie.
    8. repec:cte:werepe:we081207 is not listed on IDEAS
    9. Chen, Yi-Chun & Mueller-Frank, Manuel & Pai, Mallesh M., 2022. "Continuous implementation with direct revelation mechanisms," Journal of Economic Theory, Elsevier, vol. 201(C).
    10. Torun Dewan & Andrea Galeotti & Christian Ghiglino & Francesco Squintani, 2015. "Information aggregation and optimal structure of the executive," LSE Research Online Documents on Economics 59632, London School of Economics and Political Science, LSE Library.
    11. 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.
    12. Amorós, Pablo, 2023. "Evaluation and strategic manipulation," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    13. Carl Heese & Stephan Lauermann, 2019. "Persuasion and Information Aggregation in Large Elections," CRC TR 224 Discussion Paper Series crctr224_2019_128, University of Bonn and University of Mannheim, Germany.
    14. Carl Heese & Stephan Lauermann, 2021. "Persuasion and Information Aggregation in Elections," ECONtribute Discussion Papers Series 112, University of Bonn and University of Cologne, Germany.
    15. Elisabeth Schulte, 2010. "Information aggregation and preference heterogeneity in committees," Theory and Decision, Springer, vol. 69(1), pages 97-118, July.
    16. Deimen, Inga & Ketelaar, Felix & Le Quement, Mark T., 2015. "Consistency and communication in committees," Journal of Economic Theory, Elsevier, vol. 160(C), pages 24-35.
    17. Feddersen, Timothy & Gradwohl, Ronen, 2020. "Decentralized advice," European Journal of Political Economy, Elsevier, vol. 63(C).
    18. M. Ferrara & F. Lamperti & R. Mavilia, 2016. "Looking for best performers: a pilot study towards the evaluation of science parks," Scientometrics, Springer;Akadémiai Kiadó, vol. 106(2), pages 717-750, February.
    19. De Moragas, Antoni-Italo, 2020. "When consensus hurts: experts' advice and electoral support," MPRA Paper 114800, University Library of Munich, Germany.
    20. Pablo Amorós, 2017. "The problem of aggregating experts' opinions to select the winner of a competition," Working Papers 2017-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    21. Elisabeth Schulte, 2012. "Communication in committees: who should listen?," Public Choice, Springer, vol. 150(1), pages 97-117, January.
    22. Axel Niemeyer & Justus Preusser, 2024. "Optimal Allocation with Peer Information," Papers 2410.08954, arXiv.org.

    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. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    2. Caffera, Marcelo & Dubra, Juan & Figueroa, Nicolás, 2018. "Mechanism design when players’ preferences and information coincide," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 56-61.
    3. Serrano, Roberto & Vohra, Rajiv, 2010. "Multiplicity of mixed equilibria in mechanisms: A unified approach to exact and approximate implementation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 775-785, September.
    4. Roberto Serrano & Rajiv Vohra, 2000. "Type Diversity and Virtual Bayesian Implementation Creation-Date: 2000," Working Papers 2000-16, Brown University, Department of Economics.
    5. Song, Yangwei, 2022. "Approximate Bayesian Implementation and Exact Maxmin Implementation: An Equivalence," Rationality and Competition Discussion Paper Series 362, CRC TRR 190 Rationality and Competition.
    6. Artemov, Georgy & Kunimoto, Takashi & Serrano, Roberto, 2013. "Robust virtual implementation: Toward a reinterpretation of the Wilson doctrine," Journal of Economic Theory, Elsevier, vol. 148(2), pages 424-447.
    7. Núñez, Matías & Pivato, Marcus, 2019. "Truth-revealing voting rules for large populations," Games and Economic Behavior, Elsevier, vol. 113(C), pages 285-305.
    8. Serrano, Roberto & Vohra, Rajiv, 2005. "A characterization of virtual Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 50(2), pages 312-331, February.
    9. Kawamura, Kohei, 2013. "Eliciting information from a large population," Journal of Public Economics, Elsevier, vol. 103(C), pages 44-54.
    10. Georgy Artemov & Takashi Kunimoto & Roberto Serrano, 2007. "Robust virtual implementation with incomplete information: Towards a reinterpretation of the Wilson doctrine," Working Papers 2007-14, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    11. Ambrus, Attila & Lu, Shih En, 2014. "Almost fully revealing cheap talk with imperfectly informed senders," Games and Economic Behavior, Elsevier, vol. 88(C), pages 174-189.
    12. Song, Yangwei, 2023. "Approximate Bayesian implementation and exact maxmin implementation: An equivalence," Games and Economic Behavior, Elsevier, vol. 139(C), pages 56-87.
    13. Gordon Rausser & Leo Simon & Jinhua Zhao, 2015. "Rational exaggeration and counter-exaggeration in information aggregation games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 109-146, May.
    14. Kawamura, Kohei, 2008. "Communication for Public Goods," SIRE Discussion Papers 2008-25, Scottish Institute for Research in Economics (SIRE).
    15. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    16. Hongbin Cai, 2009. "Costly participation and heterogeneous preferences in informational committees," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 173-189, March.
    17. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    18. Migrow, Dimitri, 2021. "Designing communication hierarchies," Journal of Economic Theory, Elsevier, vol. 198(C).
    19. Minozzi, William & Woon, Jonathan, 2019. "The limited value of a second opinion: Competition and exaggeration in experimental cheap talk games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 144-162.
    20. Galeotti, Andrea & Ghiglino, Christian & Squintani, Francesco, 2013. "Strategic information transmission networks," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1751-1769.

    More about this item

    Keywords

    Information aggregation; Asymmetric information; Cheap talk; Experts;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    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:pen:papers:05-016. 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: Administrator (email available below). General contact details of provider: https://edirc.repec.org/data/deupaus.html .

    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.