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Affiliation, Equilibrium Existence and Revenue Ranking of Auctions

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  • Luciano De Castro

Abstract

Affiliation has been a prominent assumption in the study of economic models with statistical dependence. Despite its large number of applications, especially in auction theory, affiliation has limitations that are important to be aware of. This paper shows that affiliation is a restrictive condition and the intuition usually given for its adoption may be misleading. Also, other usual justifications for affiliation are not compelling. Moreover, some implications of affiliation — namely, equilibrium existence in first-price auctions and the revenue dominance of second-price auctions — do not generalize to other definitions of positive dependence. JEL Classification Numbers: C62, C72, D44, D82.

Suggested Citation

  • Luciano De Castro, 2010. "Affiliation, Equilibrium Existence and Revenue Ranking of Auctions," Discussion Papers 1530, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1530
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    References listed on IDEAS

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    1. Jun, Sung Jae & Pinkse, Joris & Wan, Yuanyuan, 2010. "A consistent nonparametric test of affiliation in auction models," Journal of Econometrics, Elsevier, vol. 159(1), pages 46-54, November.
    2. Paul Klemperer, 2003. "Alfred Marshall Lecture: Using and Abusing Economic Theory," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 272-300, 04/05.
    3. Bergin, James, 2001. "Common Knowledge with Monotone Statistics," Econometrica, Econometric Society, vol. 69(5), pages 1315-1332, September.
    4. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    5. Hubbard, Timothy P. & Li, Tong & Paarsch, Harry J., 2012. "Semiparametric estimation in models of first-price, sealed-bid auctions with affiliation," Journal of Econometrics, Elsevier, vol. 168(1), pages 4-16.
    6. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    7. McAfee, R Preston & Vincent, Daniel, 1992. "Updating the Reserve Price in Common-Value Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 512-518, May.
    8. Matthew O. Jackson & Jeroen M. Swinkels, 2005. "Existence of Equilibrium in Single and Double Private Value Auctions," Econometrica, Econometric Society, vol. 73(1), pages 93-139, January.
    9. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    10. Monteiro, Paulo Klinger & Moreira, Humberto, 2006. "First-price auctions without affiliation," Economics Letters, Elsevier, vol. 91(1), pages 1-7, April.
    11. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, May.
    12. John G. Riley, 1988. "Ex Post Information in Auctions," Review of Economic Studies, Oxford University Press, vol. 55(3), pages 409-429.
    13. Robert B. Wilson, 1969. "Communications to the Editor--Competitive Bidding with Disparate Information," Management Science, INFORMS, vol. 15(7), pages 446-452, March.
    14. Tong Li & Bingyu Zhang, 2010. "Testing For Affiliation In First-Price Auctions Using Entry Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(3), pages 837-850, August.
    15. Paul Klemperer, 2004. "Survey of Auction Theory, from Auctions: Theory and Practice," Introductory Chapters, in: Auctions: Theory and Practice, Princeton University Press.
    16. Castro, Luciano I. De & Paarsch, Harry J., 2009. "Testing Affiliation in Private-values Models of First-price Auctions Using Grid Distributions," CEI Working Paper Series 2009-11, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
    17. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    18. Motty Perry & Philip J. Reny, 1999. "On The Failure of the Linkage Principle in Multi-Unit Auctions," Econometrica, Econometric Society, vol. 67(4), pages 895-900, July.
    19. Castro, Luciano I. de, 2007. "Affiliation, equilibrium existence and the revenue ranking of auctions," UC3M Working papers. Economics we074622, Universidad Carlos III de Madrid. Departamento de Economía.
    20. 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.
    21. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    22. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    23. Paul Klemperer, 2004. "Introduction to Auctions: Theory and Practice," Introductory Chapters, in: Auctions: Theory and Practice, Princeton University Press.
    24. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    25. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 511-518.
    26. Paul Klemperer, 2004. "What Really Matters in Auction Design, from Auctions: Theory and Practice," Introductory Chapters, in: Auctions: Theory and Practice, Princeton University Press.
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    Cited by:

    1. Vasilis Syrgkanis & David Kempe & Eva Tardos, 2019. "Information Asymmetries in Common-Value Auctions with Discrete Signals," Management Science, INFORMS, vol. 44(4), pages 1450-1476, November.
    2. Benjamin V. Rosa, 2019. "Resident Bid Preference, Affiliation, and Procurement Competition: Evidence from New Mexico," Journal of Industrial Economics, Wiley Blackwell, vol. 67(2), pages 161-208, June.
    3. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    4. Kotowski, Maciej H. & Li, Fei, 2014. "On the continuous equilibria of affiliated-value, all-pay auctions with private budget constraints," Games and Economic Behavior, Elsevier, vol. 85(C), pages 84-108.
    5. Abhishek, Vineet & Hajek, Bruce & Williams, Steven R., 2015. "On bidding with securities: Risk aversion and positive dependence," Games and Economic Behavior, Elsevier, vol. 90(C), pages 66-80.
    6. Shadmehr, Mehdi & Bernhardt, Dan, 2019. "Vanguards in revolution," Games and Economic Behavior, Elsevier, vol. 115(C), pages 146-166.

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    More about this item

    Keywords

    affiliation; positive dependence; statistical dependence of types; conditional independence; de Finetti’s theorem; minimally informative random variable; auctions; pure strategy equilibrium; revenue ranking.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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

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