Profit Maximizing in Auctions of Public Goods
AbstractA profit-maximizing auctioneer can provide a public good to a group of agents. Each group member has a private value for the good being provided to the group. We investigate an auction mechanism where the auctioneer provides the good to the group only if the sum of their bids exceeds a reserve price declared previously by the auctioneer. For the two-bidder case with private values drawn from a uniform distribution we characterize the continuously differentiable symmetric equilibrium bidding functions for the agents, and we find the optimal reserve price for the auctioneer when such functions are used by the bidders. We also examine another interesting family of equilibrium bidding functions for this case, with a discrete number of possible bids, and show the relation (in the limit) to the differentiable bidding functions. Copyright 2001 by Blackwell Publishing Inc.
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Bibliographic InfoArticle provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.
Volume (Year): 3 (2001)
Issue (Month): 4 ()
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=1097-3923
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Other versions of this item:
- Dirk Alboth & Anat Lerner & Jonathan Shalev, 1997. "Profit Maximizing in Auctions of Public Goods," Game Theory and Information 9707010, EconWPA, revised 01 Apr 1998.
- ALBOTH, Dirk & LERNER, Anat & SHALEV, Jonathan, 1998. "Profit maximizing in auctions of public goods," CORE Discussion Papers 1998017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- C00 - Mathematical and Quantitative Methods - - General - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
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