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Auctions with Endogenous Quantity

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Author Info
Robert G. Hansen
Abstract

This article studies auctions in which several sellers compete for the right to sell to a market characterized by a negatively sloped demand curve. In this environment the quantity traded becomes endogenous; this effect leads to three results concerning the outcomes of open versus (first-price) sealed-bid auctions. First, an open auction yields a higher expected price than does sealed bidding. Second, and more important, the open auction captures less of the potential gains from trade than does the sealed-bid auction. Third, for broad classes of demand curves, the efficiency gains from switching to sealed bids from an open auction accrue to both sellers and the buyer, so that all concerned parties would agree to the change. A direct application of the theory is to procurement; the heavy use of sealed bidding in procurement is seen as rational in light of these results. Auction models with endogenous quantity could be an alternative to price-setting oligopoly models for the study of price formation in general, for the latter impose strong information requirements on agents and yield only equilibrium price vectors, not equilibrium processes for determining prices.

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Publisher Info
Article provided by The RAND Corporation in its journal RAND Journal of Economics.

Volume (Year): 19 (1988)
Issue (Month): 1 (Spring)
Pages: 44-58
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Handle: RePEc:rje:randje:v:19:y:1988:i:spring:p:44-58

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  1. Cassola, N. & Ewerhart , C. & Valla, N., 2006. "Declining Valuations and Equilibrium Bidding Central Bank Refinancing Operations," Documents de Travail 151, Banque de France. [Downloadable!]
  2. Giulio Federico & David Rahman, 2000. "Bidding in an electricity pay-as-bid auction," Economics Papers 2001-W5, Economics Group, Nuffield College, University of Oxford, revised 01 Apr 2001. [Downloadable!]
    Other versions:
  3. Yvan Lengwiler, 1998. "The multiple unit auction with variable supply," Finance and Economics Discussion Series 1998-28, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  4. Elmar WOLFSTETTER, . "Auctions-An Introduction," Sonderforschungsbereich 373 1994-13, Humboldt Universitaet Berlin.
    Other versions:
  5. David S. Salkever & Richard G. Frank, 1995. "Economic Issues in Vaccine Purchase Arrangements," NBER Working Papers 5248, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Paul Klemperer, 2000. "Why Every Economist Should Learn Some Auction Theory," Microeconomics 0004009, EconWPA. [Downloadable!]
    Other versions:
  7. Christian Ewerhart & Nuno Cassola & Natacha Valla, 2006. "Declining valuations and equilibrium bidding in central bank refinancing operations," Working Paper Series 668, European Central Bank. [Downloadable!]
    Other versions:
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