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Sophisticated Bidders in Beauty-Contest Auctons

Author

Listed:
  • Stefano Galavotti

    (Unipd - Università degli Studi di Padova = University of Padua)

  • Luigi Moretti

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Paola Valbonesi

    (Unipd - Università degli Studi di Padova = University of Padua)

Abstract

We study bidding behavior by firms in beauty-contest auctions, i.e. auctions in which the winning bid is the one which gets closet to some function (average) of all submitted bids. Using a dataset on public procurement beauty-contest auctions, we show that firms' observed bidding behavior departs from equilibrium and can be predicted by a sophistication index, which captures the firms' accumulated capacity of bidding close to optimality in the past. We show that our empirical evidence is consistent with a Cognitive Hierarchy model of bidders' behavior. We also investigate whether and how firms learn to bid strategically through experience.

Suggested Citation

  • Stefano Galavotti & Luigi Moretti & Paola Valbonesi, 2017. "Sophisticated Bidders in Beauty-Contest Auctons," Post-Print halshs-01440891, HAL.
  • Handle: RePEc:hal:journl:halshs-01440891
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01440891
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    1. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    2. Francesco Decarolis, 2009. "When the highest bidder loses the auction: theory and evidence from public procurement," Temi di discussione (Economic working papers) 717, Bank of Italy, Economic Research and International Relations Area.
    3. Mireia Jofre-Bonet & Martin Pesendorfer, 2003. "Estimation of a Dynamic Auction Game," Econometrica, Econometric Society, vol. 71(5), pages 1443-1489, September.
    4. Decio Coviello & Luigi Moretti & Giancarlo Spagnolo & Paola Valbonesi, 2018. "Court Efficiency and Procurement Performance," Scandinavian Journal of Economics, Wiley Blackwell, vol. 120(3), pages 826-858, July.
    5. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    6. Wei-Shiun Chang & Bo Chen & Timothy C. Salmon, 2015. "An Investigation of the Average Bid Mechanism for Procurement Auctions," Management Science, INFORMS, vol. 61(6), pages 1237-1254, June.
    7. Francesco Decarolis, 2014. "Awarding Price, Contract Performance, and Bids Screening: Evidence from Procurement Auctions," American Economic Journal: Applied Economics, American Economic Association, vol. 6(1), pages 108-132, January.
    8. Gian Luigi Albano & Milo Bianchi & Giancarlo Spagnolo, 2006. "Bid Average Methods in Procurement," Rivista di Politica Economica, SIPI Spa, vol. 96(1), pages 41-62, January-F.
    9. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September.
    10. David Gill & Victoria Prowse, 2016. "Cognitive Ability, Character Skills, and Learning to Play Equilibrium: A Level-k Analysis," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1619-1676.
    11. Decio Coviello & Mario Mariniello, 2008. "Does Publicity Affect Competition? Evidence from Discontinuities in Public Procurement Auctions?," Economics Working Papers ECO2008/04, European University Institute.
    12. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    13. Luigi Moretti & Paola Valbonesi, 2015. "Firms’ Qualifications and Subcontracting in Public Procurement: An Empirical Investigation," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 31(3), pages 568-598.
    14. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    15. Shu-Heng Chen & Ye-Rong Du & Lee-Xieng Yang, 2014. "Cognitive capacity and cognitive hierarchy: a study based on beauty contest experiments," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 9(1), pages 69-105, April.
    16. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    17. Burnham, Terence C. & Cesarini, David & Johannesson, Magnus & Lichtenstein, Paul & Wallace, Björn, 2009. "Higher cognitive ability is associated with lower entries in a p-beauty contest," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 171-175, October.
    18. Luigi Moretti & Paola Valbonesi, 2012. "Subcontracting in Public Procurement: An Empirical Investigation," "Marco Fanno" Working Papers 0154, Dipartimento di Scienze Economiche "Marco Fanno".
    19. Lisa J. Cameron, 2000. "Limiting Buyer Discretion: Effects on Performance and Price in Long-Term Contracts," American Economic Review, American Economic Association, vol. 90(1), pages 265-281, March.
    20. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    21. Avi Goldfarb & Mo Xiao, 2011. "Who Thinks about the Competition? Managerial Ability and Strategic Entry in US Local Telephone Markets," American Economic Review, American Economic Association, vol. 101(7), pages 3130-3161, December.
    22. Ricard Gil & Justin Marion, 2013. "Self-Enforcing Agreements and Relational Contracting: Evidence from California Highway Procurement," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 29(2), pages 239-277, April.
    23. Bucciol, Alessandro & Chillemi, Ottorino & Palazzi, Giacomo, 2013. "Cost overrun and auction format in small size public works," European Journal of Political Economy, Elsevier, vol. 30(C), pages 35-42.
    24. Timothy G. Conley & Francesco Decarolis, 2016. "Detecting Bidders Groups in Collusive Auctions," American Economic Journal: Microeconomics, American Economic Association, vol. 8(2), pages 1-38, May.
    25. Alexander L. Brown & Colin F. Camerer & Dan Lovallo, 2012. "To Review or Not to Review? Limited Strategic Thinking at the Movie Box Office," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 1-26, May.
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    Cited by:

    1. Itzhak Rasooly, 2021. "Going... going... wrong: a test of the level-k (and cognitive hierarchy) models of bidding behaviour," Papers 2111.05686, arXiv.org.
    2. Yao, Ying & Tanaka, Makoto, 2020. "Price-quality trade-off in procurement auctions with an uncertain quality threshold," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 56-70.
    3. Itzhak Rasooly, 2022. "Going...going...wrong: a test of the level-k (and cognitive hierarchy) models of bidding behaviour," Economics Series Working Papers 959, University of Oxford, Department of Economics.
    4. Chiappinelli, Olga, 2020. "Decentralization and Public Procurement Performance: New Evidence from Italy," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 58(2), pages 856-880.
    5. Laura Rondi & Paola Valbonesi, 2017. "Pre- and post-award outsourcing: Temporary partnership versus subcontracting in public procurement," "Marco Fanno" Working Papers 0211, Dipartimento di Scienze Economiche "Marco Fanno".
    6. Xiaohu Qian & Shu-Cherng Fang & Min Huang & Tiantian Nie & Xingwei Wang, 2019. "Bidding Decisions with Nonequilibrium Strategic Thinking in Reverse Auctions," Group Decision and Negotiation, Springer, vol. 28(4), pages 757-786, August.

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    More about this item

    Keywords

    cognitive hierarchy; auctions; beauty-contest; public procurement;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • H57 - Public Economics - - National Government Expenditures and Related Policies - - - Procurement

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