IDEAS home Printed from https://ideas.repec.org/p/cla/levrem/321307000000000256.html
   My bibliography  Save this paper

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

Author

Listed:
  • Vincent P. Crawford
  • Nagore Iriberri

Abstract

This paper proposes a structural non-equilibrium 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 behavior in auction experiments. The level-k model generalizes many insights from equilibrium auction theory. It also 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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Vincent P. Crawford & Nagore Iriberri, 2006. "Level-k Auctions: Can a Non-Equilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Levine's Bibliography 321307000000000256, UCLA Department of Economics.
    • Handle: RePEc:cla:levrem:321307000000000256
    as

    Download full text from publisher

    File URL: http://dss.ucsd.edu/~vcrawfor/17July06LevelKAuctions.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dyer, Douglas & Kagel, John H & Levin, Dan, 1989. "A Comparison of Naive and Experienced Bidders in Common Value Offer Auctions: A Laboratory Analysis," Economic Journal, Royal Economic Society, vol. 99(394), pages 108-115, March.
    2. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    3. Antoni Bosch-Domènech & José G. Montalvo & Rosemarie Nagel & Albert Satorra, 2002. "One, Two, (Three), Infinity, ...: Newspaper and Lab Beauty-Contest Experiments," American Economic Review, American Economic Association, vol. 92(5), pages 1687-1701, December.
    4. Vincent P. Crawford & Nagore Iriberri, 2004. "Fatal Attraction: Focality, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 122247000000000316, UCLA Department of Economics.
    5. 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.
    6. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    7. 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.
    8. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    9. Erik Eyster & Matthew Rabin, 2005. "Cursed Equilibrium," Econometrica, Econometric Society, vol. 73(5), pages 1623-1672, September.
    10. 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.
    11. Feddersen, Timothy & Pesendorfer, Wolfgang, 1998. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting," American Political Science Review, Cambridge University Press, vol. 92(1), pages 23-35, March.
    12. Harrison, Glenn W, 1989. "Theory and Misbehavior of First-Price Auctions," American Economic Review, American Economic Association, vol. 79(4), pages 749-762, September.
    13. 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.
    14. 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.
    15. Robert B. Wilson, 2021. "Strategic Analysis of Auctions," Econometrica, Econometric Society, vol. 89(2), pages 555-561, March.
    16. 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.
    17. 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.
    18. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    19. Gary Charness & Dan Levin, 2009. "The Origin of the Winner's Curse: A Laboratory Study," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 207-236, February.
    20. Porter, Robert H, 1995. "The Role of Information in U.S. Offshore Oil and Gas Lease Auctions," Econometrica, Econometric Society, vol. 63(1), pages 1-27, January.
    21. 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.
    22. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
    23. 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.
    24. 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.
    25. Friedman, Daniel, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1374-1378, December.
    26. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    27. 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.
    28. 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.
    29. 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.
    30. 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.
    31. 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.
    32. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
    33. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    34. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    35. Goeree, Jacob K. & Offerman, Theo, 2003. "Winner's curse without overbidding," European Economic Review, Elsevier, vol. 47(4), pages 625-644, August.
    36. 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.
    37. 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.
    38. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
    39. 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.
    40. Ignacio Palacios-Huerta, 2003. "Learning to Open Monty Hall's Doors," Experimental Economics, Springer;Economic Science Association, vol. 6(3), pages 235-251, November.
    41. Holt, Charles A & Sherman, Roger, 1994. "The Loser's Curse," American Economic Review, American Economic Association, vol. 84(3), pages 642-652, June.
    42. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2003. "Rationalizable bidding in first-price auctions," Games and Economic Behavior, Elsevier, vol. 45(1), pages 38-72, October.
    43. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-424, June.
    44. Uri Gneezy, 2005. "Step-Level Reasoning and Bidding in Auctions," Management Science, INFORMS, vol. 51(11), pages 1633-1642, November.
    45. 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.
    46. 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.
    47. 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.
    48. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    49. 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, September.
    50. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    51. John H. Kagel & Colin M. Campbell & Dan Levin, 1999. "The Winner's Curse and Public Information in Common Value Auctions: Reply," American Economic Review, American Economic Association, vol. 89(1), pages 325-334, March.
    52. 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.
    53. 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.
    54. 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.
    55. Lind, Barry & Plott, Charles R, 1991. "The Winner's Curse: Experiments with Buyers and with Sellers," American Economic Review, American Economic Association, vol. 81(1), pages 335-346, March.
    56. 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.
    57. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
    2. Breitmoser, Yves, 2019. "Knowing me, imagining you: Projection and overbidding in auctions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 423-447.
    3. Breitmoser, Yves, 2017. "Knowing Me, Imagining You:," Rationality and Competition Discussion Paper Series 36, CRC TRR 190 Rationality and Competition.
    4. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    5. 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.
    6. Asen Ivanov & Dan Levin & Muriel Niederle, 2010. "Can Relaxation of Beliefs Rationalize the Winner's Curse?: An Experimental Study," Econometrica, Econometric Society, vol. 78(4), pages 1435-1452, July.
    7. Vincent P. Crawford & Nagore Iriberri, 2004. "Fatal Attraction: Focality, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 122247000000000316, UCLA Department of Economics.
    8. Erik Eyster & Matthew Rabin, 2005. "Cursed Equilibrium," Econometrica, Econometric Society, vol. 73(5), pages 1623-1672, September.
    9. 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.
    10. Paul Pezanis-Christou & Andres Romeu, 2002. "Structural Inferences from First-Price Auction Experiments," UFAE and IAE Working Papers 531.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    11. repec:cup:judgdm:v:3:y:2008:i:7:p:483-492 is not listed on IDEAS
    12. Goeree, Jacob K. & Offerman, Theo, 2003. "Winner's curse without overbidding," European Economic Review, Elsevier, vol. 47(4), pages 625-644, August.
    13. Breitmoser, Yves & Tan, Jonathan H.W. & Zizzo, Daniel John, 2014. "On the beliefs off the path: Equilibrium refinement due to quantal response and level-k," Games and Economic Behavior, Elsevier, vol. 86(C), pages 102-125.
    14. Despoina Alempaki & Andrew M. Colman & Felix Kölle & Graham Loomes & Briony D. Pulford, 2022. "Investigating the failure to best respond in experimental games," Experimental Economics, Springer;Economic Science Association, vol. 25(2), pages 656-679, April.
    15. Teck-Hua Ho & So-Eun Park & Xuanming Su, 2021. "A Bayesian Level- k Model in n -Person Games," Management Science, INFORMS, vol. 67(3), pages 1622-1638, March.
    16. Wouter van den Bos & Jian Li & Tatiana Lau & Eric Maskin & Jonathan D. Cohen & P. Read Montague & Samuel M. McClure, 2008. "The value of victory: social origins of the winner's curse in common value auctions," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 3(7), pages 483-492, October.
    17. Georganas, Sotiris & Healy, Paul J. & Weber, Roberto A., 2015. "On the persistence of strategic sophistication," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 369-400.
    18. Boeheim, Rene & Zulehner, Christine, 1996. "Auctions - A Survey," Economics Series 39, Institute for Advanced Studies.
    19. Dan Levin & Luyao Zhang, 2022. "Bridging Level-K to Nash Equilibrium," Papers 2202.12292, arXiv.org, revised Feb 2022.
    20. Miguel A Costa-Gomes & Vincent P Crawford & Nagore Iriberri, 2008. "Comparing Models of Strategic Thinking in Van Huyck, Battalio, and Beil’s Coordination Games," Levine's Working Paper Archive 122247000000002346, David K. Levine.
    21. Grundl, Serafin & Zhu, Yu, 2023. "Robust inference in first-price auctions: Overbidding as an identifying restriction," Journal of Econometrics, Elsevier, vol. 235(2), pages 484-506.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cla:levrem:321307000000000256. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: David K. Levine (email available below). General contact details of provider: http://www.dklevine.com/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.