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Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?

Listed author(s):
  • Vincent P. Crawford
  • Nagore Iriberri

This paper proposes a structural nonequilibrium model of initial responses to incomplete-information games based on "level-k" thinking, which describes behavior in many experiments with complete-information games. We derive the model's implications in first- and second-price auctions with general information structures, compare them to equilibrium and Eyster and Rabin's (2005) "cursed equilibrium," and evaluate the model's potential to explain nonequilibrium bidding in auction experiments. The level-k model generalizes many insights from equilibrium auction theory. It allows a unified explanation of the winner's curse in common-value auctions and overbidding in those independent-private-value auctions without the uniform value distributions used in most experiments. Copyright The Econometric Society 2007.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2007.00810.x
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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 75 (2007)
Issue (Month): 6 (November)
Pages: 1721-1770

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Handle: RePEc:ecm:emetrp:v:75:y:2007:i:6:p:1721-1770
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  1. Theo Offerman, 2002. "Efficiency in Auctions with Private and Common Values: An Experimental Study," American Economic Review, American Economic Association, vol. 92(3), pages 625-643, June.
  2. Timothy Feddersen & Wolfgang Pesendorfer, 1996. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts," Discussion Papers 1170, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Friedman, Daniel, 1998. "Monty Hall's Three Doors: Construction and Deconstruction of a Choice Anomaly," American Economic Review, American Economic Association, vol. 88(4), pages 933-946, September.
  4. Dyer, D. & Kagel, J.H. & Levin, D., 1988. "A Comparison Of Naive And Experienced Bidders In Common Value Offer Auctions A Laboratory Analysis," Papers 11, Houston - Department of Economics.
  5. Kagel, John H & Roth, Alvin E, 1992. "Theory and Misbehavior in First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1379-1391, December.
  6. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2003. "Rationalizable bidding in first-price auctions," Games and Economic Behavior, Elsevier, vol. 45(1), pages 38-72, October.
  7. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
  8. Wilson, Robert, 1992. "Strategic analysis of auctions," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 8, pages 227-279 Elsevier.
  9. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
  10. Cai, Hongbin & Wang, Joseph Tao-Yi, 2006. "Overcommunication in strategic information transmission games," Games and Economic Behavior, Elsevier, vol. 56(1), pages 7-36, July.
  11. Weizsacker, Georg, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," Games and Economic Behavior, Elsevier, vol. 44(1), pages 145-171, July.
  12. Fudenberg, D. & Levine, D.K., 1991. "Self-Confirming Equilibrium ," Working papers 581, Massachusetts Institute of Technology (MIT), Department of Economics.
  13. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
  14. Palfrey, Thomas R. & Goeree, Jacob & Holt, Charles, 2000. "Quantal Response Equilibrium and Overbidding in Private-value Auctions," Working Papers 1073, California Institute of Technology, Division of the Humanities and Social Sciences.
  15. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, Oxford University Press, vol. 119(3), pages 861-898.
  16. Garvin, Susan & Kagel, John H., 1994. "Learning in common value auctions: Some initial observations," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 351-372, December.
  17. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
  18. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-424, June.
  19. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
  20. Lind, Barry & Plott, Charles., 1989. "The Winner's Curse: Experiments with Buyers and with Sellers," Working Papers 699, California Institute of Technology, Division of the Humanities and Social Sciences.
  21. Eyster, Erik & Rabin, Matt, 2002. "Cursed Equilibrium," Department of Economics, Working Paper Series qt6xf4782t, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  22. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
  23. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  24. Robert H. Porter, 1992. "The Role of Information in U.S. Offshore Oil and Gas Lease Auctions," Discussion Papers 1008, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  25. Goeree, Jacob K. & Offerman, Theo, 2003. "Winner's curse without overbidding," European Economic Review, Elsevier, vol. 47(4), pages 625-644, August.
  26. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
  27. Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
  28. Hendricks, Kenneth & Porter, Robert H, 1988. "An Empirical Study of an Auction with Asymmetric Information," American Economic Review, American Economic Association, vol. 78(5), pages 865-883, December.
  29. Kagel, John H & Levin, Dan, 1991. "The Winner's Curse and Public Information in Common Value Auctions: Reply," American Economic Review, American Economic Association, vol. 81(1), pages 362-369, March.
  30. Miguel Costa-Gomes & Vincent P. Crawford & Bruno Broseta, "undated". "Cognition and Behavior in Normal-Form Games:An Experimental Study," Discussion Papers 00/45, Department of Economics, University of York.
  31. Vincent P. Crawford & Nagore Iriberri, 2004. "Fatal Attraction: Focality, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 122247000000000345, UCLA Department of Economics.
  32. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
  33. Cox, James C & Smith, Vernon L & Walker, James M, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1392-1412, December.
  34. 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.
  35. Gary Charness & Dan Levin, 2005. "The Origin of the Winner’s Curse: A Laboratory Study," Levine's Bibliography 666156000000000602, UCLA Department of Economics.
  36. 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.
  37. Holt, Charles A & Sherman, Roger, 1994. "The Loser's Curse," American Economic Review, American Economic Association, vol. 84(3), pages 642-652, June.
  38. 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.
  39. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  40. Merlo, Antonio & Schotter, Andrew, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1413-1425, December.
  41. Friedman, Daniel, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1374-1378, December.
  42. 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.
  43. Ball, Sheryl B. & Bazerman, Max H. & Carroll, John S., 1991. "An evaluation of learning in the bilateral winner's curse," Organizational Behavior and Human Decision Processes, Elsevier, vol. 48(1), pages 1-22, February.
  44. Max H. Bazerman & William F. Samuelson, 1983. "I Won the Auction But Don't Want the Prize," Journal of Conflict Resolution, Peace Science Society (International), vol. 27(4), pages 618-634, December.
  45. Laffont, Jean-Jacques, 1997. "Game theory and empirical economics: The case of auction data 1," European Economic Review, Elsevier, vol. 41(1), pages 1-35, January.
  46. John H. Kagel & Jean-Francois Richard, 2001. "Super-Experienced Bidders In First-Price Common-Value Auctions: Rules Of Thumb, Nash Equilibrium Bidding, And The Winner'S Curse," The Review of Economics and Statistics, MIT Press, vol. 83(3), pages 408-419, August.
  47. Christopher Avery & John H. Kagel, 1997. "Second-Price Auctions with Asymmetric Payoffs: An Experimental Investigation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 573-603, 09.
  48. Chen, Kay-Yut & Plott, Charles R., "undated". "Nonlinear Behavior in Sealed Bid First Price Auctions," Working Papers 774, California Institute of Technology, Division of the Humanities and Social Sciences.
  49. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
  50. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  51. Harrison, Glenn W, 1989. "Theory and Misbehavior of First-Price Auctions," American Economic Review, American Economic Association, vol. 79(4), pages 749-762, September.
  52. Tibor Neugebauer & Reinhard Selten, 2002. "Individual Behavior of First-Price Sealed-Bid Auctions: The Importance of Information Feedback in Experimental Markets," Bonn Econ Discussion Papers bgse3_2003, University of Bonn, Germany.
  53. Kagel, John H, et al, 1989. "First-Price Common Value Auctions: Bidder Behavior and the "Winner's Curse."," Economic Inquiry, Western Economic Association International, vol. 27(2), pages 241-258, April.
  54. Ignacio Palacios-Huerta, 2003. "Learning to Open Monty Hall's Doors," Experimental Economics, Springer;Economic Science Association, vol. 6(3), pages 235-251, November.
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