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Profit Maximizing in Auctions of Public Goods
Author(s) -
Alboth Dirk,
Lerner Anat,
Shalev Jonathan
Publication year - 2001
Publication title -
journal of public economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.809
H-Index - 32
eISSN - 1467-9779
pISSN - 1097-3923
DOI - 10.1111/1097-3923.00081
Subject(s) - bidding , common value auction , microeconomics , differentiable function , economics , profit (economics) , public good , reservation price , mathematical economics , mathematics , mathematical analysis
A 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.