Lu, Jingfeng (2006): Unifying Identity-Specific and Financial Externalities in Auction Design.
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Coexistence of identity-specific and financial externalities among bidders is a salient feature of auctions with buyers who are cross shareholders or competing firms in an oligopoly. This paper unifies these two types of externalities in revenue-maximizing auction design. Our main findings are the following. First, these two types of externalities can be unified through the framework of Myerson (1981). Both affect the winning probabilities through their impact on players' externality-augmented virtual values, while their impact on buyers' payments is reflected by an externality-correcting component for each type of externalities, which equals the respective externalities. These components eliminate strategic bidding that would arise from the existence of externalities. Second, the two types of externalities interact fundamentally through shaping players' virtual values. At the optimum, the player with the highest externality-augmented virtual value wins given that it is positive, otherwise seller physically destroys the item. Financial externalities amplify the impact of the identity-specific externalities on winning probabilities. Third, our approach is applicable to revenue-maximizing auction design with cross shareholding. Fourth, our finding renders an approach for revenue-maximizing auction design with asymmetric financial externalities. Particularly, when seller does not value the object, a revenue-maximizing auction can be obtained from any revenue-maximizing auction for a regular setting without externalities by solely transforming the payments.
|Item Type:||MPRA Paper|
|Original Title:||Unifying Identity-Specific and Financial Externalities in Auction Design|
|English Title:||When and How to Dismantle Nuclear Weapons: Auction Design with Externalities|
|Keywords:||Auction design; Financial Externalities; Identity-Specific Externalities|
|Subjects:||D - Microeconomics > D4 - Market Structure and Pricing > D44 - Auctions
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D82 - Asymmetric and Private Information; Mechanism Design
|Depositing User:||Jingfeng Lu|
|Date Deposited:||10. Jan 2008 06:14|
|Last Modified:||01. Mar 2013 19:07|
I. Brocas, Endogenous entry in auctions with negative externalities, Theory and Decision 54, 125-149 (2003)
I. Brocas, Auctions with type-dependent and negative externalities: the optimal mechanism, Working paper, 2005
S. Dasgupta and K. Tsui, Auctions with cross-shareholdings, Economic Theory 24, 163-194, 2004.
George Deltas, Determining damages from the operation of bidding rings: An analysis of the post-auction ``knockout" sale, Economic Theory 19, 243-269 (2002)
M. Engers and B. McManus, Charity Auctions, International Economic Review, 48 (Aug. 2007).
Jacob K. Goeree, Emiel Maasland, Sander Onderstal, and John L. Turner, How (Not) to raise money, Journal of Political Economy, 113(4), 897-926 (2005)
P. Jehiel, B. Moldovanu, Strategic nonparticipation, Rand Journal of Economics, 27 (1), 84-98, 1996.
P. Jehiel, B. Moldovanu and E. Stacchetti, How (not) to sell nuclear weapons, The American Economic Review 86, 814-929 (1996)
P. Jehiel, B. Moldovanu and E. Stacchetti, Multidimensional mechanism design for auctions with externalities, Journal of Economic Theory 85, 258-293 (1999)
Emiel Maasland, Sander Onderstal, Optimal auctions with financial externalities, Working paper, 2002.
Emiel Maasland, Sander Onderstal, Auctions with financial externalities, Economic Theory, 2007, 32(3), 551-574.
P. McAfee and J. McMillan, ``Bidding Rings," American Economic Review, 82(3), 579-99, 1992.
R. B. Myerson, Optimal auction design, Mathematics of Operation Research, 6, 58-73 (1981)
M. Stegeman, Participation costs and efficient auctions, Journal of Economic Theory, 71, 228-259 (1996).
G. D. Varma, Standard auctions with identity-dependent externalities, Rand Journal of Economics 33(4), 689-708 (2002)