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Auction design and order of sale with budget-constrained bidders

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  • Ulrich Bergmann

    (University of Zurich)

  • Arkady Konovalov

    (University of Zurich
    University of Birmingham)

Abstract

The presence of financial constraints changes traditional auction theory predictions. In the case of multiple items, such constraints may affect revenue equivalence and efficiency of different auction formats. We consider a simple complete information setting with three financially constrained bidders and two items that have different values common to all the bidders. Using a laboratory experiment, we find that, as predicted by theory, it is more beneficial for the seller to sell the higher value item first. We then show that the first-price sealed-bid auction yields higher revenue than the English auction, with significant differences in learning of equilibrium strategies.

Suggested Citation

  • Ulrich Bergmann & Arkady Konovalov, 2024. "Auction design and order of sale with budget-constrained bidders," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 36-57, March.
  • Handle: RePEc:kap:expeco:v:27:y:2024:i:1:d:10.1007_s10683-023-09812-y
    DOI: 10.1007/s10683-023-09812-y
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    as
    1. Ke, Shaowei, 2019. "Boundedly rational backward induction," Theoretical Economics, Econometric Society, vol. 14(1), January.
    2. Philippe Jehiel, 2001. "Limited Foresight May Force Cooperation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 369-391.
    3. Harrison Hong & Ilan Kremer & Jeffrey D. Kubik & Jianping Mei & Michael Moses, 2015. "Ordering, revenue and anchoring in art auctions," RAND Journal of Economics, RAND Corporation, vol. 46(1), pages 186-216, March.
    4. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    5. Xavier Gabaix & David Laibson & Guillermo Moloche & Stephen Weinberg, 2006. "Costly Information Acquisition: Experimental Analysis of a Boundedly Rational Model," American Economic Review, American Economic Association, vol. 96(4), pages 1043-1068, September.
    6. Jean-Pierre Benoît & Vijay Krishna, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 155-179.
    7. Carolyn Pitchik & Andrew Schotter, 1988. "Perfect Equilibria in Budget-Constrained Sequential Auctions: An Experimental Study," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 363-388, Autumn.
    8. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    9. 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.
    10. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    11. David Lucking-Reiley, 1999. "Using Field Experiments to Test Equivalence between Auction Formats: Magic on the Internet," American Economic Review, American Economic Association, vol. 89(5), pages 1063-1080, December.
    12. 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.
    13. 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.
    14. 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.
    15. Kotowski, Maciej H., 2020. "First-price auctions with budget constraints," Theoretical Economics, Econometric Society, vol. 15(1), January.
    16. Kotowski, Maciej H. & Li, Fei, 2014. "On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints," Games and Economic Behavior, Elsevier, vol. 85(C), pages 84-108.
    17. Boudreau, James W. & Shunda, Nicholas, 2016. "Sequential auctions with budget constraints: Evidence from fantasy basketball auction drafts," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 62(C), pages 8-22.
    18. Peter Cramton & Emel Filiz-Ozbay & Erkut Ozbay & Pacharasut Sujarittanonta, 2012. "Fear of losing in a clock auction," Review of Economic Design, Springer;Society for Economic Design, vol. 16(2), pages 119-134, September.
    19. Marco Mantovani, 2015. "Limited backward induction: foresight and behavior in sequential games," Working Papers 289, University of Milano-Bicocca, Department of Economics, revised Jan 2015.
    20. Fang, Hanming & Parreiras, Sergio O., 2002. "Equilibrium of Affiliated Value Second Price Auctions with Financially Constrained Bidders: The Two-Bidder Case," Games and Economic Behavior, Elsevier, vol. 39(2), pages 215-236, May.
    21. Lawrence M. Ausubel & Justin E. Burkett & Emel Filiz-Ozbay, 2017. "An experiment on auctions with endogenous budget constraints," Experimental Economics, Springer;Economic Science Association, vol. 20(4), pages 973-1006, December.
    22. Kagel, John H. & Levin, Dan, 1986. "The Winner's Curse and Public Information in Common Value Auctions," American Economic Review, American Economic Association, vol. 76(5), pages 894-920, December.
    23. Rampal, Jeevant, 2022. "Limited Foresight Equilibrium," Games and Economic Behavior, Elsevier, vol. 132(C), pages 166-188.
    24. 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.
    25. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August.
    26. Dobzinski, Shahar & Lavi, Ron & Nisan, Noam, 2012. "Multi-unit auctions with budget limits," Games and Economic Behavior, Elsevier, vol. 74(2), pages 486-503.
    27. Kagel, John H & Levin, Dan & Harstad, Ronald M, 1995. "Comparative Static Effects of Number of Bidders and Public Information on Behavior in Second-Price Common Value Auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 293-319.
    28. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
    29. Bobkova, Nina, 2020. "Asymmetric budget constraints in a first-price auction," Journal of Economic Theory, Elsevier, vol. 186(C).
    30. Alexey Malakhov & Rakesh Vohra, 2008. "Optimal auctions for asymmetrically budget constrained bidders," Review of Economic Design, Springer;Society for Economic Design, vol. 12(4), pages 245-257, December.
    31. Peter Cramton & Emel Filiz-Ozbay & Erkut Ozbay & Pacharasut Sujarittanonta, 2012. "Discrete clock auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 15(2), pages 309-322, June.
    32. Leisch, Friedrich, 2004. "FlexMix: A General Framework for Finite Mixture Models and Latent Class Regression in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 11(i08).
    33. Raviv, Yaron, 2006. "New Evidence on Price Anomalies in Sequential Auctions: Used Cars in New Jersey," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 301-312, July.
    34. Guillaume Fréchette, 2012. "Session-effects in the laboratory," Experimental Economics, Springer;Economic Science Association, vol. 15(3), pages 485-498, September.
    35. Maciej H. Kotowski & Fei Li, 2012. "On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints, Third Version," PIER Working Paper Archive 14-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Jan 2014.
    36. 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.
    37. Che, Yeon-Koo & Gale, Ian, 1996. "Expected revenue of all-pay auctions and first-price sealed-bid auctions with budget constraints," Economics Letters, Elsevier, vol. 50(3), pages 373-379, March.
    38. Johnson, Eric J. & Camerer, Colin & Sen, Sankar & Rymon, Talia, 2002. "Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining," Journal of Economic Theory, Elsevier, vol. 104(1), pages 16-47, May.
    39. Pai, Mallesh M. & Vohra, Rakesh, 2014. "Optimal auctions with financially constrained buyers," Journal of Economic Theory, Elsevier, vol. 150(C), pages 383-425.
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