Revenue Comparison in Asymmetric Auctions with Discrete Valuations
AbstractWe consider an asymmetric auction setting with two bidders such that the valuation of each bidder has a binary support. First, we characterize the unique equilibrium outcome in the first price auction for any values of parameters. Then we compare the first price auction with the second price auction in terms of expected revenue. Under the assumption that the probabilities of low values are the same for the two bidders, we obtain two main results: (i) the second price auction yields a higher revenue unless the distribution of a bidder’s valuation first-order stochastically dominates the distribution of the other bidder’s valuation “in a strong sense” and (ii) introducing reserve prices implies that the first price auction is never superior to the second price auction. In addition, in some cases, the revenue in the first price auction decreases when all the valuations increase.
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Bibliographic InfoArticle provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.
Volume (Year): 13 (2013)
Issue (Month): 1 (September)
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Other versions of this item:
- Nicola Doni & Domenico Menicucci, 2011. "Revenue Comparison in Asymmetric Auctions with Discrete Valuations," Working Papers - Economics wp2011_08.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
- Nicola Doni & Domenico Menicucci, 2011. "Revenue Comparison in Asymmetric Auctions with Discrete Valuations," Economics Working Papers ECO2011/27, European University Institute.
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
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.:
- Maskin, Eric S & Riley, Joan G, 1985.
"Auction Theory with Private Values,"
American Economic Review,
American Economic Association, vol. 75(2), pages 150-55, May.
- 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," Economics Series Working Papers 1999-W12, University of Oxford, Department of Economics.
- Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Microeconomics 9903002, EconWPA.
- Klemperer, P., 1999. "Auction Theory: a Guide to the Literature," Economics Papers 1999-w12, Economics Group, Nuffield College, University of Oxford.
- Rene Kirkegaard, 2011. "Ranking Asymmetric Auctions using the Dispersive Order," Working Papers 1101, University of Guelph, Department of Economics and Finance.
- Cheng, Harrison, 2006. "Ranking sealed high-bid and open asymmetric auctions," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 471-498, August.
- 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.
- 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.
- 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, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," ULB Institutional Repository 2013/9001, ULB -- Universite Libre de Bruxelles.
- Li, Huagang & Riley, John G., 2007. "Auction choice," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1269-1298, December.
- Plum, M, 1992. "Characterization and Computation of Nash-Equilibria for Auctions with Incomplete Information," International Journal of Game Theory, Springer, vol. 20(4), pages 393-418.
- Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 439-54, July.
- Nicola Doni & Domenico Menicucci, 2011. "Information revelation in procurement auctions with two-sided asymmetric information," Working Papers - Economics wp2011_14.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
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