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A Technical Primer on Auction Theory I: Independent Private Values

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  • Steven A. Matthews

Abstract

This primer rigorously introduces the auction model of "risk neutral bidders with independent private values". The model is central to auction theory, and its structure is the same as a many models used in information economics. Results are derived regarding the nature of equilibria, the effects of entry fess and reserve prices, revenue equilivalence, and the design of optimal auctions. Widely applicable concepts are emphasized, such as revealed preference logic, the single-crossing property, and the Revelation Principle. Intended readers are economics graduate and advanced undergraduate students, and all economists who want to examine auction theory in detail.

Suggested Citation

  • Steven A. Matthews, 1995. "A Technical Primer on Auction Theory I: Independent Private Values," Discussion Papers 1096, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1096
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    Cited by:

    1. Hannu Vartiainen, 2013. "Auction Design Without Commitment," Journal of the European Economic Association, European Economic Association, vol. 11(2), pages 316-342, April.
    2. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Reserve Prices in Auctions as Reference Points," Economic Journal, Royal Economic Society, vol. 117(520), pages 637-653, April.
    3. Andreas Roider & Patrick W. Schmitz, 2012. "Auctions with Anticipated Emotions: Overbidding, Underbidding, and Optimal Reserve Prices," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 808-830, September.
    4. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, July.
    5. Ricardo Gonçalves, 2008. "A communication equilibrium in English auctions with discrete bidding," Working Papers de Economia (Economics Working Papers) 042008, Católica Porto Business School, Universidade Católica Portuguesa.
    6. Schmitz, Patrick W., 2003. "On second-price auctions and imperfect competition," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 901-909, November.
    7. Sun, Daewon & Li, Erick & Hayya, Jack C., 2010. "The optimal format to sell a product through the internet: Posted price, auction, and buy-price auction," International Journal of Production Economics, Elsevier, vol. 127(1), pages 147-157, September.
    8. Gerard J. van den Berg & Bas van der Klaauw, 2007. "If Winning isn't Everything, why do they keep Score? A Structural Empirical Analysis of Dutch Flower Auctions," Tinbergen Institute Discussion Papers 07-041/3, Tinbergen Institute.
    9. Grund Christian & Gürtler Oliver, 2008. "The Effect of Reputation on Selling Prices in Auctions," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 228(4), pages 345-356, August.
    10. repec:eee:mateco:v:70:y:2017:i:c:p:66-73 is not listed on IDEAS
    11. Tan, Guofu & Yilankaya, Okan, 2006. "Equilibria in second price auctions with participation costs," Journal of Economic Theory, Elsevier, vol. 130(1), pages 205-219, September.
    12. Gopal Das Varma, 2000. "Standard Auctions with Identity Dependent Externalities," Econometric Society World Congress 2000 Contributed Papers 1145, Econometric Society.
    13. Ángel Hernando Veciana, 2001. "Competition Among Auctioneers," Working Papers. Serie AD 2001-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    14. van den Berg, Gerard J., 2007. "On the uniqueness of optimal prices set by monopolistic sellers," Journal of Econometrics, Elsevier, vol. 141(2), pages 482-491, December.
    15. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Reserve Prices in Auctions as Reference Points," Economic Journal, Royal Economic Society, vol. 117(520), pages 637-653, April.
    16. Ricardo Gonçalves, 2004. "Favouritism and cartel disruption in first-price auctions," Working Papers de Economia (Economics Working Papers) 15, Departamento de Economia, Gestão e Engenharia Industrial, Universidade de Aveiro.
    17. Charles Zheng, 2000. "Optimal Auction in a Multidimensional World," Econometric Society World Congress 2000 Contributed Papers 0296, Econometric Society.
    18. Stefan Klonner, 2003. "Empirical Analysis of Rosca Auctions in a South Indian Village," Working Papers 854, Economic Growth Center, Yale University.
    19. Fuerst, Franz & Gabrieli, Tommaso & McAllister, Patrick, 2017. "A green winner's curse? Investor behavior in the market for eco-certified office buildings," Economic Modelling, Elsevier, vol. 61(C), pages 137-146.
    20. 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.
    21. Sun, Daewon, 2008. "Dual mechanism for an online retailer," European Journal of Operational Research, Elsevier, vol. 187(3), pages 903-921, June.
    22. Clark, Damon, 2002. "Matching, Screening and Firm Investment in General Training: Theory and Evidence," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 A2-4, International Conferences on Panel Data.

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