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Affiliation, equilibrium existence and the revenue ranking of auctions

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Luciano I. de Castro ()

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Abstract

We consider private value auctions where bidders’ types are dependent, a case usually treated by assuming affiliation. We show that affiliation is a restrictive assumption in three senses: topological, measure-theoretic and statistical (affiliation is a very restrictive characterization of positive dependence). We also show that affiliation’s main implications do not generalize for alternative definitions of positive dependence. From this, we propose new approaches to the problems of pure strategy equilibrium existence in first-price auctions (PSEE) and the characterization of the revenue ranking of auctions. For equilibrium existence, we slightly restrict the set of distributions considered, without loss of economic generality, and offer a complete characterization of PSEE. For revenue ranking, we obtain a characterization of the expected revenue differences between second and first price auctions with general dependence of types.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we074622.

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Date of creation: May 2007
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Handle: RePEc:cte:werepe:we074622

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  1. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-43, June. [Downloadable!] (restricted)
  2. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer. [Downloadable!] (restricted)
  3. Philip J. Reny & Shmuel Zamir, 2004. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Econometrica, Econometric Society, vol. 72(4), pages 1105-1125, 07. [Downloadable!] (restricted)
  4. Robert Anderson & William Zame, 2001. "Genericity with Infinitely Many Parameters," Advances in Theoretical Economics, Berkeley Electronic Press, vol. 1(advances/), pages 1003-1003. [Downloadable!] (restricted)
  5. Klemperer, Paul, 2003. "Using and Abusing Economic Theory," CEPR Discussion Papers 3813, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  6. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 413-38, July.
  7. Milgrom, Paul & Weber, Robert J., 1982. "The value of information in a sealed-bid auction," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 105-114, June. [Downloadable!] (restricted)
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  8. Engelbrecht-Wiggans, Richard & Milgrom, Paul R. & Weber, Robert J., 1983. "Competitive bidding and proprietary information," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 161-169, April. [Downloadable!] (restricted)
  9. McMillan, John, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-62, Summer. [Downloadable!] (restricted)
  10. 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.
  11. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November. [Downloadable!] (restricted)
  12. Monteiro, Paulo Klinger & Moreira, Humberto, 2006. "First-price auctions without affiliation," Economics Letters, Elsevier, vol. 91(1), pages 1-7, April. [Downloadable!] (restricted)
  13. 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, 01. [Downloadable!] (restricted)
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  14. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 44(3), pages 511-18, October. [Downloadable!] (restricted)
  15. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn. [Downloadable!] (restricted)
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  16. repec:att:wimass:1920013 is not listed on IDEAS
  17. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July. [Downloadable!] (restricted)
  18. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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  19. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November. [Downloadable!] (restricted)
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