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The Value of Commitment in Auctions with Matching

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  • Lamping, Jennifer

Abstract

In many auctions, a good match between the bidder and seller raises the value of the contract for both parties although information about the quality of the match may be incomplete. This paper examines the case in which the bidder is better informed about the quality of his match with the seller than the seller is. We derive the optimal mechanism for this setting and investigate whether the seller requires commitment power to implement it. It is shown that once the reserve price is set, it is optimal for the seller to do away with any matching considerations and allocate the contract on the basis of price alone. If matching is sufficiently important to the seller, the optimal mechanism may be implemented without commitment. However, if matching is not sufficiently important, the seller suffers a loss when he is unable to commit. The magnitude of this loss increases as the importance of matching decreases.

Suggested Citation

  • Lamping, Jennifer, 2008. "The Value of Commitment in Auctions with Matching," MPRA Paper 24373, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:24373
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    References listed on IDEAS

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    1. Skreta, Vasiliki, 2015. "Optimal auction design under non-commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 854-890.
    2. 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.
    3. Goeree, Jacob K., 2003. "Bidding for the future: signaling in auctions with an aftermarket," Journal of Economic Theory, Elsevier, vol. 108(2), pages 345-364, February.
    4. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter.
    5. Das Varma, Gopal, 2003. "Bidding for a process innovation under alternative modes of competition," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 15-37, January.
    6. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    7. Hannu Vartiainen, 2003. "Auction Design without Commitment," Working Papers 2003.24, Fondazione Eni Enrico Mattei.
    8. Leonardo Rezende, 2009. "Biased procurement auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 169-185, January.
    9. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    10. 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.
    11. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
    12. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    13. Christopher Avery, 1998. "Strategic Jump Bidding in English Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 185-210.
    14. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    15. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    16. Fernando Branco, 1997. "The Design of Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 63-81, Spring.
    17. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    18. Molnár, József & Virág, Gábor, 2008. "Revenue maximizing auctions with market interaction and signaling," Economics Letters, Elsevier, vol. 99(2), pages 360-363, May.
    19. Lamping, Jennifer, 2008. "Ignorance Is Bliss: Matching in Auctions with an Uninformed Seller," MPRA Paper 24374, University Library of Munich, Germany.
    20. 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.
    21. 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.
    22. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    23. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    24. Charles Zheng, 2000. "Optimal Auction in a Multidimensional World," Econometric Society World Congress 2000 Contributed Papers 0296, Econometric Society.
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    More about this item

    Keywords

    Asymmetries; Auctions; Auction Theory; Bidding; Matching; Mechanism Design; Signaling;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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