Revenue Comparison in Asymmetric Auctions with Discrete Valuations
We consider an asymmetric auction setting with two bidders such that the valuation of each bidder has a binary support. We prove that in this context the second price auction yields a higher expected revenue than the first price auction for a broad set of parameter values, although the opposite result is common in the literature on asymmetric auctions. For instance, the second price auction is superior both when a bidder’s valuation is more uncertain that the valuation of the other bidder, and in case of a not too large distribution shift or rescaling. In addition, we show that in some cases the revenue in the first price auction decreases when all the valuations increase [in doing so, we correct a claim in Maskin and Riley (1985), and we derive the bidders’ preferences between the two auctions.
|Date of creation:||2011|
|Date of revision:|
|Contact details of provider:|| Postal: Via delle Pandette 9 50127 - Firenze - Italy|
Phone: +39 055 2759582
Web page: http://www.disei.unifi.it/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Rene Kirkegaard, 2011. "Ranking Asymmetric Auctions using the Dispersive Order," Working Papers 1101, University of Guelph, Department of Economics and Finance.
- Arieh Gavious & Yizhaq Minchuk, 2014. "Ranking asymmetric auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 369-393, May.
- Li, Huagang & Riley, John G., 2007. "Auction choice," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1269-1298, December.
- Klemperer, P., 1999.
"Auction Theory: a Guide to the Literature,"
1999-w12, Economics Group, Nuffield College, University of Oxford.
- Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Economics Series Working Papers 1999-W12, University of Oxford, Department of Economics.
- Klemperer, Paul, 1999. "Auction Theory: a Guide to the Literature," CEPR Discussion Papers 2163, C.E.P.R. Discussion Papers.
- Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Microeconomics 9903002, EconWPA.
- Estelle Cantillon, 2008.
"The effect of bidders' asymmetries on expected revenue in auctions,"
ULB Institutional Repository
2013/9001, ULB -- Universite Libre de Bruxelles.
- Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
- Estelle Cantillon, 2000. "The Effect of Bidders' Asymmetries on Expected Revenue in Auctions," Cowles Foundation Discussion Papers 1279, Cowles Foundation for Research in Economics, Yale University.
- Eric S. Maskin & John G. Riley, 1985.
"Auction Theory with Private Values,"
UCLA Economics Working Papers
359, UCLA Department of Economics.
- Eric Maskin & John G. Riley, 1983. "Auctions with Asymmetric Beliefs," UCLA Economics Working Papers 254, UCLA Department of Economics.
- Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
- Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 439-454.
- Cheng, Harrison, 2006. "Ranking sealed high-bid and open asymmetric auctions," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 471-498, August.
- Plum, M, 1992. "Characterization and Computation of Nash-Equilibria for Auctions with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 393-418.
When requesting a correction, please mention this item's handle: RePEc:frz:wpaper:wp2011_08.rdf. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Giorgio Ricchiuti)
If references are entirely missing, you can add them using this form.