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An experimental investigation of auctions and bargaining in procurement

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  • Shachat, Jason
  • Tan, Lijia

Abstract

In reverse auctions, buyers often retain the right to bargain further concessions from the winner. The optimal form of such procurement is an English auction followed by an auctioneer's option to engage in ultimatum bargaining with the winner. We study behavior and performance in this procurement format using a laboratory experiment. Sellers closely follow the equilibrium strategy of exiting the auction at their costs and then accepting strictly profitable offers. Buyers generally exercise their option to bargain according to their equilibrium strategy, but their take-it-or-leave-it offers vary positively with auction prices when they should be invariant. We explain this deviation by modeling buyers' subjective posteriors regarding the winners' costs as distortions, calculated using a formulation of probability weighting, of the Bayesian posteriors. We show alternative models based upon risk aversion and anticipated regret can't explain these price dependencies.

Suggested Citation

  • Shachat, Jason & Tan, Lijia, 2012. "An experimental investigation of auctions and bargaining in procurement," MPRA Paper 42409, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:42409
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    References listed on IDEAS

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    1. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    2. Richard Engelbrecht-Wiggans & Elena Katok, 2009. "A Direct Test of Risk Aversion and Regret in First Price Sealed-Bid Auctions," Decision Analysis, INFORMS, vol. 6(2), pages 75-86, June.
    3. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
    4. Ulrich Hege & Stefano Lovo & Myron B. Slovin & Marie E. Sushka, 2009. "Equity and Cash in Intercorporate Asset Sales: Theory and Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 22(2), pages 681-714, February.
    5. Jason Shachat & Lijia Wei, 2012. "Procuring Commodities: First-Price Sealed-Bid or English Auctions?," Marketing Science, INFORMS, vol. 31(2), pages 317-333, March.
    6. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    7. Andrew M. Davis & Elena Katok & Anthony M. Kwasnica, 2011. "Do Auctioneers Pick Optimal Reserve Prices?," Management Science, INFORMS, vol. 57(1), pages 177-192, January.
    8. 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.
    9. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    10. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2002. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Journal of Economic Theory, Elsevier, vol. 104(1), pages 247-272, May.
    11. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    12. Richard Engelbrecht-Wiggans & Elena Katok, 2007. "Regret in auctions: theory and evidence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 81-101, October.
    13. Zhixi Wan & Damian R. Beil, 2009. "RFQ Auctions with Supplier Qualification Screening," Post-Print hal-00471441, HAL.
    14. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    15. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
    16. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    17. W. Guth & R. Schmittberger & B. Schwartz, 2010. "An experimental analysis of ultimatum bargaining," Levine's Working Paper Archive 291, David K. Levine.
    18. Tunay I. Tunca & Qiong Wu, 2009. "Multiple Sourcing and Procurement Process Selection with Bidding Events," Management Science, INFORMS, vol. 55(5), pages 763-780, May.
    19. David Cooper & E. Dutcher, 2011. "The dynamics of responder behavior in ultimatum games: a meta-study," Experimental Economics, Springer;Economic Science Association, vol. 14(4), pages 519-546, November.
    20. Huck, Steffen, 1999. "Responder behavior in ultimatum offer games with incomplete information," Journal of Economic Psychology, Elsevier, vol. 20(2), pages 183-206, April.
    21. Zhixi Wan & Damian R. Beil & Elena Katok, 2012. "When Does It Pay to Delay Supplier Qualification? Theory and Experiments," Management Science, INFORMS, vol. 58(11), pages 2057-2075, November.
    22. Croson, Rachel T. A., 1996. "Information in ultimatum games: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 30(2), pages 197-212, August.
    23. Coppinger, Vicki M & Smith, Vernon L & Titus, Jon A, 1980. "Incentives and Behavior in English, Dutch and Sealed-Bid Auctions," Economic Inquiry, Western Economic Association International, vol. 18(1), pages 1-22, January.
    24. Zhixi Wan & Damian R. Beil, 2009. "RFQ Auctions with Supplier Qualification Screening," Operations Research, INFORMS, vol. 57(4), pages 934-949, August.
    25. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
    26. Shachat, Jason, 2009. "Procuring Commodities: Request for Quote or Reverse Auctions?," MPRA Paper 13418, University Library of Munich, Germany.
    27. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    28. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October.
    29. Greiner, Ben, 2004. "An Online Recruitment System for Economic Experiments," MPRA Paper 13513, University Library of Munich, Germany.
    30. Timothy Salmon & Bart Wilson, 2008. "Second chance offers versus sequential auctions: theory and behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 47-67, January.
    31. Cox, James C & Smith, Vernon L & Walker, James M, 1988. "Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
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    Cited by:

    1. Shachat, Jason & Tan, Lijia, 2023. "How auctioneers set reserve prices in procurement auctions," European Journal of Operational Research, Elsevier, vol. 304(2), pages 709-728.
    2. Fabian Herweg & Marco A. Schwarz, 2018. "Optimal Cost Overruns: Procurement Auctions With Renegotiation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(4), pages 1995-2021, November.
    3. Matthew J. Walker & Elena Katok & Jason Shachat, 2023. "Trust and Trustworthiness in Procurement Contracts with Retainage," Management Science, INFORMS, vol. 69(6), pages 3492-3515, June.
    4. Shachat, Jason & Tan, Lijia, 2019. "How Auctioneers Set Ex-Ante and Ex-Post Reserve Prices in English Auctions," MPRA Paper 96225, University Library of Munich, Germany.
    5. Kris De Jaegher & Michal Soltes & Vitezslav Titl, 2023. "Easing Renegotiation Rules in Public Procurement: Evidence from a Policy Reform," CERGE-EI Working Papers wp757, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    6. Wei-Shiun Chang & Timothy C. Salmon & Krista J. Saral, 2016. "Procurement Auctions With Renegotiation And Wealth Constraints," Economic Inquiry, Western Economic Association International, vol. 54(3), pages 1684-1704, July.
    7. Herweg, Fabian & Schwarz, Marco A., 2016. "Optimal Cost Overruns: Procurement Auctions and Renegotiation," CEPR Discussion Papers 11179, C.E.P.R. Discussion Papers.
    8. Vitali Gretschko & Martin Pollrich, 2022. "Incomplete Contracts in Multi-period Procurement," Management Science, INFORMS, vol. 68(7), pages 5146-5161, July.

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    More about this item

    Keywords

    Auction; Bargaining; Experiment; Subjective Posterior;
    All these keywords.

    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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