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Allocating multiple units by sealed-bid auctions

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Author Info
Kala Krishna (Pennsylvania State University)
Torben Tranæs (Institute of Economics, University of Copenhagen)

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Abstract

This paper studies the allocation and rent distribution between buyers and the seller in multiple units sealed-bid auctions. We restrict attention to the complete information case. A simple diagrammatic exposition of equilibria in the first-price and uniform-price auctions is provided and their equilibria are compared one to another and to the second-price (or Vickrey) auction. We show that the truthful equilibrium in the first-price auction is revenue equivalent to the second-price auction. Both these auctions are discriminatory auctions. We also show that the revenue raised in the truthful equilibrium of the first-price auction is less than that raised in the truthful equilibirum of the uniform-price auction. The approach is also related to a number of themes found more broadly in economics such as the convergence to competition.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics. Centre for Industrial Economics in its series CIE Discussion Papers with number 1998-05.

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Length: 32 pages
Date of creation: Apr 1998
Date of revision:
Handle: RePEc:kud:kuieci:1998-05

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Related research
Keywords: multiple-unit auctions; first-price sealed-bid auctions; revenue equivalence; discriminatory vs. uniform auctions;

Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions

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  1. Kala Krishna & Torben Tranæs, 1999. "Efficient Competition with Small Numbers - with Applications to Privatisation and Mergers," CIE Discussion Papers 1999-01, University of Copenhagen. Department of Economics. Centre for Industrial Economics. [Downloadable!]
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