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Varying the number of bidders in the first-price sealed-bid auction: experimental evidence for the one-shot game

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  • Sascha Füllbrunn
  • Tibor Neugebauer

Abstract

The paper reports experimental data on the behavior in the first-price sealed-bid auction for a varying number of bidders when values and bids are private information. This feedback-free design is proposed for the experimental test of the one-shot game situation. We consider both within-subjects and between-subjects variations. In line with the qualitative risk neutral Nash equilibrium prediction, the data show that bids increase in the number of bidders. However, in auctions involving a small number of bidders, average bids are above, and in auctions involving a larger number of bidders, average bids are below the risk neutral equilibrium prediction. The quartile analysis reveals that bidding behavior is not constant across the full value range for a given number of bidders. On the high value quartiles, however, the average bid–value ratio is not different from the risk neutral prediction. The behavior is different when the winning bid is revealed after each repetition. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Sascha Füllbrunn & Tibor Neugebauer, 2013. "Varying the number of bidders in the first-price sealed-bid auction: experimental evidence for the one-shot game," Theory and Decision, Springer, vol. 75(3), pages 421-447, September.
    • Handle: RePEc:kap:theord:v:75:y:2013:i:3:p:421-447
    DOI: 10.1007/s11238-013-9378-z
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    1. 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.
    2. 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.
    3. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 2000. "Does information about competitors' actions increase or decrease competition in experimental oligopoly markets?," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 39-57, January.
    4. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
    5. Ockenfels, Axel & Selten, Reinhard, 2005. "Impulse balance equilibrium and feedback in first price auctions," Games and Economic Behavior, Elsevier, vol. 51(1), pages 155-170, April.
    6. Neugebauer, Tibor & Perote, Javier & Schmidt, Ulrich & Loos, Malte, 2009. "Selfish-biased conditional cooperation: On the decline of contributions in repeated public goods experiments," Journal of Economic Psychology, Elsevier, vol. 30(1), pages 52-60, February.
    7. Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
    8. Dufwenberg, Martin & Gneezy, Uri, 2000. "Price competition and market concentration: an experimental study," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 7-22, January.
    9. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 2004. "Two are few and four are many: number effects in experimental oligopolies," Journal of Economic Behavior & Organization, Elsevier, vol. 53(4), pages 435-446, April.
    10. Robert Dorsey & Laura Razzolini, 2003. "Explaining Overbidding in First Price Auctions Using Controlled Lotteries," Experimental Economics, Springer;Economic Science Association, vol. 6(2), pages 123-140, October.
    11. Claudia Neri, 2015. "Eliciting beliefs in continuous-choice games: a double auction experiment," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 569-608, December.
    12. Jordi Brandts & Pablo Guillen, 2007. "Collusion And Fights In An Experiment With Price‐Setting Firms And Advance Production," Journal of Industrial Economics, Wiley Blackwell, vol. 55(3), pages 453-473, September.
    13. 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.
    14. Grosskopf, Brit & Nagel, Rosemarie, 2008. "The two-person beauty contest," Games and Economic Behavior, Elsevier, vol. 62(1), pages 93-99, January.
    15. Dufwenberg, Martin & Gneezy, Uri, 2002. "Information disclosure in auctions: an experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 48(4), pages 431-444, August.
    16. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    17. Oliver Kirchkamp & J. Philipp Reiß, 2011. "Out‐Of‐Equilibrium Bids in First‐Price Auctions: Wrong Expectations or Wrong Bids," Economic Journal, Royal Economic Society, vol. 121(557), pages 1361-1397, December.
    18. Neugebauer, Tibor & Pezanis-Christou, Paul, 2007. "Bidding behavior at sequential first-price auctions with(out) supply uncertainty: A laboratory analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 63(1), pages 55-72, May.
    19. Grimm, Veronika & Schmidt, Ulrich, 1998. "Equilibrium bidding without the independence axiom: A graphical analysis," SFB 373 Discussion Papers 1999,40, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    20. Andreoni, James & Che, Yeon-Koo & Kim, Jinwoo, 2007. "Asymmetric information about rivals' types in standard auctions: An experiment," Games and Economic Behavior, Elsevier, vol. 59(2), pages 240-259, May.
    21. Chen, Kay-Yut & Plott, Charles R., 1998. "Nonlinear Behavior in Sealed Bid First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 34-78, October.
    22. Abbink, Klaus & Brandts, Jordi, 2008. "24. Pricing in Bertrand competition with increasing marginal costs," Games and Economic Behavior, Elsevier, vol. 63(1), pages 1-31, May.
    23. Richard Engelbrecht-Wiggans, 1980. "State of the Art---Auctions and Bidding Models: A Survey," Management Science, INFORMS, vol. 26(2), pages 119-142, February.
    24. Pezanis-Christou, P. & Sadrieh, A., 2003. "Elicited Bid Functions in a (a)Symmetric First-Price Auctions," Discussion Paper 2003-58, Tilburg University, Center for Economic Research.
    25. Weber, Roberto A., 2003. "'Learning' with no feedback in a competitive guessing game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 134-144, July.
    26. 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.
    27. Tibor Neugebauer, 2005. "Bidding Strategies Of Sequential First Price Auctions Programmed By Experienced Bidders," Experimental 0503007, University Library of Munich, Germany.
    28. Kirchkamp, O. & Reiss, J.P. & Sadrieh, A., 2006. "A pure variation of risk in first-price auctions," Research Memorandum 058, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    29. Werner G¸th & Radosveta Ivanova-Stenzel & Manfred K–nigstein & Martin Strobel, 2003. "Learning to bid - an experimental study of bid function adjustments in auctions and fair division games," Economic Journal, Royal Economic Society, vol. 113(487), pages 477-494, April.
    30. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    31. Tibor Neugebauer & Javier Perote, 2008. "Bidding ‘as if’ risk neutral in experimental first price auctions without information feedback," Experimental Economics, Springer;Economic Science Association, vol. 11(2), pages 190-202, June.
    32. Kirchkamp, Oliver & Poen, Eva & Rei, J. Philipp, 2009. "Outside options: Another reason to choose the first-price auction," European Economic Review, Elsevier, vol. 53(2), pages 153-169, February.
    33. Reinhard Selten, 1973. "A Simple Model of Imperfect Competition, where 4 are Few and 6 are Many," Center for Mathematical Economics Working Papers 008, Center for Mathematical Economics, Bielefeld University.
    34. Douglas Dyer & John H. Kagel & Dan Levin, 1989. "Resolving Uncertainty about the Number of Bidders in Independent Private-Value Auctions: An Experimental Analysis," RAND Journal of Economics, The RAND Corporation, vol. 20(2), pages 268-279, Summer.
    35. Cox, James C. & Smith, Vernon L. & Walker, James M., 1982. "Auction market theory of heterogeneous bidders," Economics Letters, Elsevier, vol. 9(4), pages 319-325.
    36. Tibor Neugebauer, 2007. "Bid and price effects of increased competition in the first-price auction: experimental evidence," LSF Research Working Paper Series 07-17, Luxembourg School of Finance, University of Luxembourg.
    37. Olivier Armantier & Nicolas Treich, 2009. "Subjective Probabilities In Games: An Application To The Overbidding Puzzle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1079-1102, November.
    38. 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.
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    5. Belev, S. & Veterinarov, V. & Matveev, E., 2023. "Vertical collusion in public procurement: Estimation based on data for R&D composite auctions," Journal of the New Economic Association, New Economic Association, vol. 59(2), pages 36-63.

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    More about this item

    Keywords

    First-price sealed-bid auction; Experiment; Within-subject variation; Between-subject variation; Feedback; C92; D44;
    All these keywords.

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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