(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.)">
Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/cla/uclaol/346.html
   My bibliography  Save this paper

Optimal Auction Design under Non-Commitment

Author

Listed:
  • Vasiliki Skreta
Abstract
We characterize revenue-maximizing mechanisms in Myerson's (1981) environment when the seller behaves sequentially rationally, in the sense that she cannot commit not to propose a new mechanism if the previously chosen one fails to allocate the object. We show that the seller-optimal mechanism takes the same form as in the case when there is commitment: The seller maximizes revenue by assigning, at t=1, the good to the buyer with the highest virtual valuation if it is above a buyer-specific reserve price. If no trade takes place at t=1, at t=2, the seller assigns the object to the buyer with the highest posterior virtual valuation, provided that it is above the seller's value.
(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

  • Vasiliki Skreta, 2005. "Optimal Auction Design under Non-Commitment," UCLA Economics Online Papers 346, UCLA Department of Economics.
    • Handle: RePEc:cla:uclaol:346
    as

    Download full text from publisher

    File URL: http://www.econ.ucla.edu/people/papers/Skreta/Skreta346.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Vasiliki Skreta, 2000. "Sequentially Optimal Mechanisms," Econometric Society World Congress 2000 Contributed Papers 1521, Econometric Society.
    3. Bester, Helmut & Strausz, Roland, 2000. "Imperfect commitment and the revelation principle: the multi-agent case," Economics Letters, Elsevier, vol. 69(2), pages 165-171, November.
    4. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Helmut Bester & Roland Strausz, "undated". "Imperfect Commitment and the Revelation Principle," Papers 004, Departmental Working Papers.
    6. Vasiliki Skreta, 2011. "On the informed seller problem: optimal information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 15(1), pages 1-36, March.
    7. Johannes Hörner & Larry Samuelson, 2011. "Managing Strategic Buyers," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 379-425.
    8. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 267-289.
    9. Vasiliki Skreta, 2007. "Optimal Auctions with General Distributions," Levine's Bibliography 843644000000000227, UCLA Department of Economics.
    10. Jean-Jacques Laffont & Jean Tirole, 1990. "Adverse Selection and Renegotiation in Procurement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 597-625.
    11. Hannu Vartiainen, 2003. "Auction Design without Commitment," Working Papers 2003.24, Fondazione Eni Enrico Mattei.
    12. 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.
    13. Calzolari, Giacomo & Pavan, Alessandro, 2006. "On the optimality of privacy in sequential contracting," Journal of Economic Theory, Elsevier, vol. 130(1), pages 168-204, September.
    14. Posner, Richard A, 1981. "The Economics of Privacy," American Economic Review, American Economic Association, vol. 71(2), pages 405-409, May.
      • Posner, Richard A., 1980. "The Economics of Privacy," Working Papers 16, The University of Chicago Booth School of Business, George J. Stigler Center for the Study of the Economy and the State.
    15. David McAdams & Michael Schwarz, 2007. "Credible Sales Mechanisms and Intermediaries," American Economic Review, American Economic Association, vol. 97(1), pages 260-276, March.
    16. Monteiro, Paulo Klinger & Svaiter, Benar Fux, 2010. "Optimal auction with a general distribution: Virtual valuation without densities," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 21-31, January.
    17. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    18. R. Preston McAfee & Daniel C. Quan & Daniel R. Vincent, 2002. "How to Set Minimum Acceptable Bids, with an Application to Real Estate Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 50(4), pages 391-416, December.
    19. Xavier Freixas & Roger Guesnerie & Jean Tirole, 1985. "Planning under Incomplete Information and the Ratchet Effect," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 173-191.
    20. Deb, Rahul & Said, Maher, 2015. "Dynamic screening with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 891-928.
    21. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
    22. Skreta, Vasiliki, 2006. "Mechanism design for arbitrary type spaces," Economics Letters, Elsevier, vol. 91(2), pages 293-299, May.
    23. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    24. Bower, Anthony G, 1993. "Procurement Policy and Contracting Efficiency," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(4), pages 873-901, November.
    25. Alessandro Acquisti & Hal R. Varian, 2005. "Conditioning Prices on Purchase History," Marketing Science, INFORMS, vol. 24(3), pages 367-381, May.
    26. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-1098, July.
    27. Maskin, Eric & Tirole, Jean, 1992. "The Principal-Agent Relationship with an Informed Principal, II: Common Values," Econometrica, Econometric Society, vol. 60(1), pages 1-42, January.
    28. Bester, Helmut & Strausz, Roland, 2007. "Contracting with imperfect commitment and noisy communication," Journal of Economic Theory, Elsevier, vol. 136(1), pages 236-259, September.
    29. Giacomo Calzolari & Alessandro Pavan, 2006. "Monopoly with resale," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 362-375, June.
    30. Evans, Robert & Reiche, Sönje, 2015. "Contract design and non-cooperative renegotiation," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1159-1187.
    31. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    32. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    33. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    34. Charles Zhoucheng Zheng, 2002. "Optimal Auction with Resale," Econometrica, Econometric Society, vol. 70(6), pages 2197-2224, November.
    35. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    36. Burguet, Roberto & Sakovics, Jozsef, 1996. "Reserve Prices without Commitment," Games and Economic Behavior, Elsevier, vol. 15(2), pages 149-164, August.
    37. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    38. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    39. Evans, Robert & Reiche, Sönje, 2008. "Imperfect commitment and the revelation principle: The multi-agent case with transferable utility," Economics Letters, Elsevier, vol. 99(3), pages 611-614, June.
    40. Oliver D. Hart & Jean Tirole, 1988. "Contract Renegotiation and Coasian Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 509-540.
    41. Caillaud, Bernard & Mezzetti, Claudio, 2004. "Equilibrium reserve prices in sequential ascending auctions," Journal of Economic Theory, Elsevier, vol. 117(1), pages 78-95, July.
    42. Hannu Vartiainen, 2013. "Auction Design Without Commitment," Journal of the European Economic Association, European Economic Association, vol. 11(2), pages 316-342, April.
    43. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-1175, September.
    44. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    45. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    46. Stigler, George J., 1980. "An Introduction to Privacy in Economics and Politics," Working Papers 10, The University of Chicago Booth School of Business, George J. Stigler Center for the Study of the Economy and the State.
    47. Vasiliki Skreta, 2006. "Sequentially Optimal Mechanisms -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1085-1111.
    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. Bergemann, Dirk & Pavan, Alessandro, 2015. "Introduction to Symposium on Dynamic Contracts and Mechanism Design," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 679-701.
    2. Laura Doval & Vasiliki Skreta, 2022. "Mechanism Design With Limited Commitment," Econometrica, Econometric Society, vol. 90(4), pages 1463-1500, July.
    3. Vasiliki Skreta, 2000. "Sequentially Optimal Mechanisms," Econometric Society World Congress 2000 Contributed Papers 1521, Econometric Society.
    4. Hannu Vartiainen, 2003. "Auction Design without Commitment," Working Papers 2003.24, Fondazione Eni Enrico Mattei.
    5. Doval, Laura & Skreta, Vasiliki, 2024. "Optimal mechanism for the sale of a durable good," Theoretical Economics, Econometric Society, vol. 19(2), May.
    6. Beccuti, Juan & Möller, Marc, 2021. "Screening by mode of trade," Games and Economic Behavior, Elsevier, vol. 129(C), pages 400-420.
    7. Qingmin Liu & Konrad Mierendorff & Xianwen Shi & Weijie Zhong, 2019. "Auctions with Limited Commitment," American Economic Review, American Economic Association, vol. 109(3), pages 876-910, March.
    8. Dirk Bergemann & Alessandro Pavan, 2015. "Introduction to JET Symposium Issue on "Dynamic Contracts and Mechanism Design"," Cowles Foundation Discussion Papers 2016, Cowles Foundation for Research in Economics, Yale University.
    9. Patrick Hummel, 2018. "Reserve prices in repeated auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 273-299, March.
    10. Evans, Robert & Reiche, Sönje, 2015. "Contract design and non-cooperative renegotiation," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1159-1187.
    11. Lamping, Jennifer, 2008. "The Value of Commitment in Auctions with Matching," MPRA Paper 24373, University Library of Munich, Germany.
    12. Francesco Giovannoni & Toomas Hinnosaar, 2022. "Pricing Novel Goods," Papers 2208.04985, arXiv.org, revised Aug 2024.
    13. Juan I. Beccuti, 2014. "Optimal Selling Mechanisms under Imperfect Commitment," Diskussionsschriften dp1401, Universitaet Bern, Departement Volkswirtschaft.
    14. Calzolari, Giacomo & Pavan, Alessandro, 2006. "On the optimality of privacy in sequential contracting," Journal of Economic Theory, Elsevier, vol. 130(1), pages 168-204, September.
    15. Devanur, Nikhil R. & Peres, Yuval & Sivan, Balasubramanian, 2019. "Perfect Bayesian Equilibria in repeated sales," Games and Economic Behavior, Elsevier, vol. 118(C), pages 570-588.
    16. Arieh Gavious & Ella Segev, 2017. "Price Discrimination Based on Buyers’ Purchase History," Dynamic Games and Applications, Springer, vol. 7(2), pages 229-265, June.
    17. Fugger, Nicolas & Gretschko, Vitali & Pollrich, Martin, 2019. "Sequential procurement with limited commitment," ZEW Discussion Papers 19-030, ZEW - Leibniz Centre for European Economic Research.
    18. Walter Beckert, 2004. "Dynamic Monopolies with Stochastic Demand," Birkbeck Working Papers in Economics and Finance 0404, Birkbeck, Department of Economics, Mathematics & Statistics.
    19. Bester, Helmut & Strausz, Roland, 2007. "Contracting with imperfect commitment and noisy communication," Journal of Economic Theory, Elsevier, vol. 136(1), pages 236-259, September.
    20. Jean Tirole, 2016. "From Bottom of the Barrel to Cream of the Crop: Sequential Screening With Positive Selection," Econometrica, Econometric Society, vol. 84(4), pages 1291-1343, July.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:uclaol:346. 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.econ.ucla.edu/ .

    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.