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A note on Zheng’s conditions for implementing an optimal auction with resale

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Author Info
Tymofiy Mylovanov
Thomas Tröger

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Abstract

Zheng has recently proposed a seller-optimal auction for (asymmetric) independentprivate- value environments where inter-bidder resale is possible. Zheng's construction requires novel conditions on the bidders' value distribution profile. We clarify the restrictions implied by these conditions. Given distributions for two bidders and the supports of the other bidders' distributions, Zheng's conditions uniquely determine the entire distribution profile. Moreover, if the bidders' distributions have the same support then Zheng's conditions imply that all distributions except one are identical, so that the final allocation is obtained after a single resale transaction, regardless of the number of bidders.

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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonedp/bgse29_2005.pdf
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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse29_2005.

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Length: 16
Date of creation: Oct 2005
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Handle: RePEc:bon:bonedp:bgse29_2005

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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Related research
Keywords: independent private values; optimal auction; resale; inverse virtual valuation function;

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References listed on IDEAS
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  1. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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Cited by:
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  1. Tymofiy Mylovanov & Thomas Tröger, 2006. "A Characterization of the Conditions for Optimal Auction with Resale," Discussion Papers 128, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
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