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Risk aversion and auction design: Theoretical and empirical evidence

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  • Vasserman, Shoshana
  • Watt, Mitchell

Abstract

Auctions are inherently risky: bidders face uncertainty about their prospects of winning and payments, while sellers are unsure about revenue and chances of a successful sale. Auction rules influence the allocation of risk among agents and the behavior of risk-averse bidders, leading to a breakdown of payoff and revenue equivalence and a heightened significance of auction design decisions by sellers. In this paper, we review the literature on risk aversion in auctions, with an emphasis on what can be learned about auction design from theoretical modeling and empirical studies. We survey theoretical results relating to the behavior of risk-averse agents in auctions, the comparison of standard auction formats in the presence of risk aversion and implications for auction design. We discuss standard and more recent approaches to identifying risk preferences in empirical studies and evidence for the significance of risk aversion in auction applications. Finally, we identify areas where existing evidence is relatively scant and ask what questions empirical research might ask given the theory and where further theoretical research may be beneficial given existing empirical results.

Suggested Citation

  • Vasserman, Shoshana & Watt, Mitchell, 2021. "Risk aversion and auction design: Theoretical and empirical evidence," International Journal of Industrial Organization, Elsevier, vol. 79(C).
  • Handle: RePEc:eee:indorg:v:79:y:2021:i:c:s0167718721000515
    DOI: 10.1016/j.ijindorg.2021.102758
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    1. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
    2. Elodie Guerre & I. Perrigne & Q.H. Vuong, 2000. "Optimal nonparametric estimation of first-price auctions [[Estimation nonparamétrique optimale des enchères au premier prix]]," Post-Print hal-02697497, HAL.
    3. Benjamin Balzer & Antonio Rosato, 2021. "Expectations-Based Loss Aversion in Auctions with Interdependent Values: Extensive vs. Intensive Risk," Management Science, INFORMS, vol. 67(2), pages 1056-1074, February.
    4. Grundl, Serafin & Zhu, Yu, 2019. "Identification and estimation of risk aversion in first-price auctions with unobserved auction heterogeneity," Journal of Econometrics, Elsevier, vol. 210(2), pages 363-378.
    5. Xiaohong Chen & Matthew Gentry & Tong Li & Jingfeng Lu, 2020. "Identification and Inference in First-Price Auctions with Risk Averse Bidders and Selective Entry," Cowles Foundation Discussion Papers 2257, Cowles Foundation for Research in Economics, Yale University.
    6. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    7. Péter Esö & Lucy White, 2004. "Precautionary Bidding in Auctions," Econometrica, Econometric Society, vol. 72(1), pages 77-92, January.
    8. , & , & ,, 2006. "Optimal auctions with ambiguity," Theoretical Economics, Econometric Society, vol. 1(4), pages 411-438, December.
    9. Yao Luo & Isabelle Perrigne & Quang Vuong, 2018. "Auctions with ex post uncertainty," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 574-593, September.
    10. Audrey Hu & Steven A. Matthews & Liang Zou, 2009. "Risk Aversion and Optimal Reserve Prices in First and Second-Price Auctions, Second Version," PIER Working Paper Archive 10-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Jan 2010.
    11. Stanley Reynolds & John Wooders, 2009. "Auctions with a buy price," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 9-39, January.
    12. Indranil Chakraborty, 2019. "Reserve Price Versus Entry Fee In Standard Auctions," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 648-653, January.
    13. Bernard Elyakime & Jean-Jacques Laffont & Patrice Loisel & Quang Vuong, 1994. "First-Price Sealed-Bid Auctions with Secret Reservation Prices," Annals of Economics and Statistics, GENES, issue 34, pages 71-114.
    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. Susan Athey & Jonathan Levin, 2001. "Information and Competition in U.S. Forest Service Timber Auctions," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 375-417, April.
    16. 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.
    17. Patrick Bajari & Ali Hortacsu, 2005. "Are Structural Estimates of Auction Models Reasonable? Evidence from Experimental Data," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 703-741, August.
    18. Border, Kim C, 1991. "Implementation of Reduced Form Auctions: A Geometric Approach," Econometrica, Econometric Society, vol. 59(4), pages 1175-1187, July.
    19. Keith Waehrer & Ronald M. Harstad & Michael H. Rothkopf, 1998. "Auction Form Preferences of Risk-Averse Bid Takers," RAND Journal of Economics, The RAND Corporation, vol. 29(1), pages 179-192, Spring.
    20. Tong Li & Jingfeng Lu & Li Zhao, 2015. "Auctions with selective entry and risk averse bidders: theory and evidence," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 524-545, September.
    21. Smith, James L. & Levin, Dan, 1996. "Ranking Auctions with Risk Averse Bidders," Journal of Economic Theory, Elsevier, vol. 68(2), pages 549-561, February.
    22. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    23. Isabelle Perrigne & Quang Vuong, 2019. "Econometrics of Auctions and Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 27-54, August.
    24. Cox, James C & Smith, Vernon L & Walker, James M, 1985. "Experimental Development of Sealed-Bid Auction Theory: Calibrating Controls for Risk Aversion," American Economic Review, American Economic Association, vol. 75(2), pages 160-165, May.
    25. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    26. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    27. Budish, Eric B. & Takeyama, Lisa N., 2001. "Buy prices in online auctions: irrationality on the internet?," Economics Letters, Elsevier, vol. 72(3), pages 325-333, September.
    28. Matthews, Steven A., 1983. "Selling to risk averse buyers with unobservable tastes," Journal of Economic Theory, Elsevier, vol. 30(2), pages 370-400, August.
    29. Valentin Bolotnyy & Shoshana Vasserman, 2023. "Scaling Auctions as Insurance: A Case Study in Infrastructure Procurement," Econometrica, Econometric Society, vol. 91(4), pages 1205-1259, July.
    30. Hu, Audrey & Offerman, Theo & Zou, Liang, 2011. "Premium auctions and risk preferences," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2420-2439.
    31. Timothy Mathews & Brett Katzman, 2006. "The role of varying risk attitudes in an auction with a buyout option," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(3), pages 597-613, April.
    32. Levin, Dan & Ozdenoren, Emre, 2004. "Auctions with uncertain numbers of bidders," Journal of Economic Theory, Elsevier, vol. 118(2), pages 229-251, October.
    33. Aumann, Robert J & Kurz, Mordecai, 1977. "Power and Taxes," Econometrica, Econometric Society, vol. 45(5), pages 1137-1161, July.
    34. 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.
    35. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    36. Joyce Delnoij & Kris Jaegher, 2020. "Competing first-price and second-price auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 183-216, February.
    37. Jingfeng Lu & Isabelle Perrigne, 2008. "Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(7), pages 871-896.
    38. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    39. Hu, Audrey & Matthews, Steven A. & Zou, Liang, 2018. "English auctions with ensuing risks and heterogeneous bidders," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 33-44.
    40. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    41. repec:oup:restud:v:84:y::i:1:p:237-276. is not listed on IDEAS
    42. Gadi Fibich & Arieh Gavious, 2010. "Large auctions with risk-averse bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 359-390, July.
    43. Lange, Andreas & Ratan, Anmol, 2010. "Multi-dimensional reference-dependent preferences in sealed-bid auctions - How (most) laboratory experiments differ from the field," Games and Economic Behavior, Elsevier, vol. 68(2), pages 634-645, March.
    44. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
    45. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2009. "Nonparametric Identification of Risk Aversion in First-Price Auctions Under Exclusion Restrictions," Econometrica, Econometric Society, vol. 77(4), pages 1193-1227, July.
    46. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    47. Sundararajan, Mukund & Yan, Qiqi, 2020. "Robust mechanisms for risk-averse sellers," Games and Economic Behavior, Elsevier, vol. 124(C), pages 644-658.
    48. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    49. 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.
    50. Hu, Audrey, 2011. "How bidder's number affects optimal reserve price in first-price auctions under risk aversion," Economics Letters, Elsevier, vol. 113(1), pages 29-31, October.
    51. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    52. Yunmi Kong, 2020. "Not knowing the competition: evidence and implications for auction design," RAND Journal of Economics, RAND Corporation, vol. 51(3), pages 840-867, September.
    53. Baisa, Brian, 2017. "Auction design without quasilinear preferences," Theoretical Economics, Econometric Society, vol. 12(1), January.
    54. Huagang Li & Guofu Tan, 2017. "Hidden Reserve Prices with Risk-Averse Bidders," Frontiers of Economics in China-Selected Publications from Chinese Universities, Higher Education Press, vol. 12(3), pages 341-370, September.
    55. , & ,, 2006. "Revenue comparisons for auctions when bidders have arbitrary types," Theoretical Economics, Econometric Society, vol. 1(1), pages 95-118, March.
    56. Audrey Hu & Theo Offerman & Liang Zou, 2018. "How Risk Sharing may Enhance Efficiency of English Auctions," Economic Journal, Royal Economic Society, vol. 128(610), pages 1235-1256, May.
    57. 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.
    58. Jacob K. Goeree & Theo Offerman, 2004. "Notes and Comments the Amsterdam Auction," Econometrica, Econometric Society, vol. 72(1), pages 281-294, January.
    59. 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.
    60. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    61. Audrey Hu & Steven A Matthews & Liang Zou, 2019. "Low Reserve Prices in Auctions," The Economic Journal, Royal Economic Society, vol. 129(622), pages 2563-2580.
    62. Hu, Audrey & Matthews, Steven A. & Zou, Liang, 2010. "Risk aversion and optimal reserve prices in first- and second-price auctions," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1188-1202, May.
    63. 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.
    64. repec:adr:anecst:y:1994:i:34:p:04 is not listed on IDEAS
    65. Campo, Sandra, 2012. "Risk aversion and asymmetry in procurement auctions: Identification, estimation and application to construction procurements," Journal of Econometrics, Elsevier, vol. 168(1), pages 96-107.
    66. Skrzypacz, Andrzej, 2013. "Auctions with contingent payments — An overview," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 666-675.
    67. Holt, Charles A, Jr, 1980. "Competitive Bidding for Contracts under Alternative Auction Procedures," Journal of Political Economy, University of Chicago Press, vol. 88(3), pages 433-445, June.
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