Affiliation in Multi-Unit Discriminatory Auctions
We extend Milgrom and Weber's affiliated valuations model to the multi-unit case with constant marginal valuations where 2 bidders compete for k identical objects. We show that the discriminatory auction has a unique equilibrium, that corresponds to Milgrom and Weber's first price equilibrium. This unique equilibrium therefore leads to lower expected prices than the equilibrium of the English auction where the units are bundled together. Hence we show that in a common value auction of a single object where the object can be divided into k parts, it is not possible to increase revenue by using a multi-unit discriminatory auction. We discuss a possible application to Treasury auctions.
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- Engelbrecht-Wiggans, Richard & Kahn, Charles M., 1998. "Multi-Unit Pay-Your-Bid Auctions with Variable Awards," Games and Economic Behavior, Elsevier, vol. 23(1), pages 25-42, April.
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- Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
- Bernard Lebrun & Marie-Christine Tremblay, 2003.
"Multiunit Pay-Your-Bid Auction with One-Dimensional Multiunit Demands,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(3), pages 1135-1172, 08.
- Lebrun, Bernard & Tremblay, Marie-Christine, 1999. "Multi-Unit Pay-Your-Bid Auction with One-Dimensional Multi-Unit Demands," Cahiers de recherche 9921, Université Laval - Département d'économique.
- S. Viswanathan & James J.D. Wang, 2004. "Optimal Bidding in Multi-Unit Discriminatory Auctions: Two Bidders," Econometric Society 2004 North American Winter Meetings 58, Econometric Society.
- Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
- Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
- Tenorio, Rafael, 1993. "Revenue Equivalence and Bidding Behavior in a Multi-unit Auction Market: An Empirical Analysis," The Review of Economics and Statistics, MIT Press, vol. 75(2), pages 302-314, May.
- Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764. Full references (including those not matched with items on IDEAS)
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