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Multiple unit auctions of an indivisible good

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Author Info
Fernando Branco (Universidade CatÕlica Portuguesa, FCEE, Palma de Cima, P-1600 Lisboa, PORTUGAL, and Banco de Portugal, Av. Almirante Reis 71, P-1100 Lisboa, PORTUGAL)
Abstract

This paper studies the properties of several multiple unit auctions in the context of a general model that allows for private values and common values as special cases.

The benchmark for the analysis is provided by the characterization of optimal selling procedures for a seller that has several units of a homogeneous indivisible good to be sold extending the analysis of a single unit model in [1]. It is shown that the seller should impose endogenous individual minimum announcements, that are contingent on the bidders' reports and decreasing as the number of units allocated to the buyer increase.

Implementation mechanisms are discussed in the context of a special case of the model. Under the assumption of unit demands, it is shown that some generalizations (to multiple units) of standard auctions may implement the optimal mechanism, but some do not. Moreover, it is proven that in a sequential optimal auction the sequence of prices paid in each auction is a supermartingale, which conforms to the empirical behavior of prices in sequential auctions.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 8 (1996)
Issue (Month): 1 ()
Pages: 77-101
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Handle: RePEc:spr:joecth:v:8:y:1996:i:1:p:77-101

Note: Received: May 9, 1994; revised version May 31, 1995
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  1. Roberto Burguet, 2000. "Auction theory: a guided tour," Investigaciones Economicas, Fundación SEPI, vol. 24(1), pages 3-50, January. [Downloadable!]
    Other versions:
  2. Nicolás Figueroa & Vasiliki Skreta, 2007. "The Role of Outside Options in Auction Design," Documentos de Trabajo 231, Centro de Economía Aplicada, Universidad de Chile. [Downloadable!]
    Other versions:
  3. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, EconWPA, revised 28 Apr 1998. [Downloadable!]
  4. Crémer, Jacques & Hariton, Cyril, 2003. "Rental of a Durable Good," IDEI Working Papers 162, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  5. Domenico Menicucci, 2001. "Optimal two-object auctions with synergies," ICER Working Papers - Applied Mathematics Series 18-2001, ICER - International Centre for Economic Research. [Downloadable!]
    Other versions:
  6. Lionel Thomas, 2001. "Les marchés à tranches," Recherches économiques de Louvain, De Boeck Université, vol. 67(4), pages 437-451. [Downloadable!]
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