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Allocating multiple units by sealed-bid auctions

Kala Krishna () and Torben Tranaes ()

No 1998-05, CIE Discussion Papers from University of Copenhagen. Department of Economics. Centre for Industrial Economics

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.

Keywords: multiple-unit auctions; first-price sealed-bid auctions; revenue equivalence; discriminatory vs. uniform auctions (search for similar items in EconPapers)
JEL-codes: D44 (search for similar items in EconPapers)
Pages: 32 pages
Date: 1998-04
References: Add references at CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:kud:kuieci:1998-05

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