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Optimal auctions with asymmetric financial externalities

  • Lu, Jingfeng

This paper studies optimal auction design with asymmetric linear financial externalities among bidders. When the matrix Γ that relates biddersʼ payoffs to their payments is nonsingular, the payment-related component in the design objective must equal a unique linear combination of its counterparts in bidderʼs payoffs. If all multipliers of the linear combination are nonnegative, a modified Myerson procedure is discovered for deriving the optimal design. If any multiplier is negative, an arbitrarily high value can be achieved for design objective by setting proper fixed transfers to bidders. When the matrix Γ is singular, the unbounded optimum result typically prevails. We applied our method to auctions with cross shareholdings and charity auctions for revenue-maximizing and efficient designs.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 74 (2012)
Issue (Month): 2 ()
Pages: 561-575

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Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:561-575
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  1. Emiel Maasland & Sander Onderstal, 2007. "Auctions with Financial Externalities," Economic Theory, Springer, vol. 32(3), pages 551-574, September.
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  9. Maxim Engers & Brian McManus, 2007. "Charity Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 953-994, 08.
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  18. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
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