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A consistent nonparametric test of affiliation in auction models

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  • Jun, Sung Jae
  • Pinkse, Joris
  • Wan, Yuanyuan

Abstract

We propose a new nonparametric test of affiliation, a strong form of positive dependence with independence as a special, knife-edge, case. The test is consistent against all departures from the null of affiliation, and its null distribution is standard normal. Like most nonparametric tests, a sample-size dependent input parameter is needed. We provide an informal procedure for choosing the input parameter and evaluate the test's performance using a simulation study. Our test can be used to test the fundamental assumptions of the auctions literature. We implement our test empirically using the Outer Continental Shelf (OCS) auction data.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 159 (2010)
Issue (Month): 1 (November)
Pages: 46-54

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Handle: RePEc:eee:econom:v:159:y:2010:i:1:p:46-54

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Web page: http://www.elsevier.com/locate/jeconom

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Keywords: Auction models Affiliation Empirical distributions Nonparametric tests;

References

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  1. Kenneth Hendricks & Joris Pinkse & Robert H. Porter, 2003. "Empirical Implications of Equilibrium Bidding in First-Price, Symmetric, Common Value Auctions," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 115-145.
  2. Hendricks, Kenneth & Porter, Robert H, 1988. "An Empirical Study of an Auction with Asymmetric Information," American Economic Review, American Economic Association, vol. 78(5), pages 865-83, December.
  3. Joris Pinkse & Guofu Tan, 2005. "The Affiliation Effect in First-Price Auctions," Econometrica, Econometric Society, vol. 73(1), pages 263-277, 01.
  4. Jutta Roosen & David A. Hennessy, 2003. "Testing for the Monotone Likelihood Ratio Assumption," Center for Agricultural and Rural Development (CARD) Publications 03-wp325, Center for Agricultural and Rural Development (CARD) at Iowa State University.
  5. Monteiro, Paulo Klinger & Moreira, Humberto, 2006. "First-price auctions without affiliation," Economics Letters, Elsevier, vol. 91(1), pages 1-7, April.
  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. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
  8. Philip J. Reny & Shmuel Zamir, 2002. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Discussion Paper Series dp292, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  9. Tong Li, 2005. "Econometrics of first-price auctions with entry and binding reservation prices," Journal of Econometrics, Elsevier, vol. 126(1), pages 173-200, May.
  10. Athey, Susan & Haile, Philip A., 2007. "Nonparametric Approaches to Auctions," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 60 Elsevier.
  11. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
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Cited by:
  1. 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.
  2. Fang, Hanming & Tang, Xun, 2014. "Inference of bidders’ risk attitudes in ascending auctions with endogenous entry," Journal of Econometrics, Elsevier, vol. 180(2), pages 198-216.
  3. Hanming Fang & Xun Tang, 2013. "Inference of Bidders’ Risk Attitudes in Ascending Auctions with Endogenous Entry," NBER Working Papers 19435, National Bureau of Economic Research, Inc.
  4. Hanming Fang & Xun Tang, 2013. "Inference of Bidders’ Risk Attitudes in Ascending Auctions with Endogenous Entry," PIER Working Paper Archive 13-056, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

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