| Revenue submodularity |
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Electronic Commerce
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Proceedings of the tenth ACM conference on Electronic commerce
table of contents
Stanford, California, USA
SESSION: Session 7
table of contents
Pages 243-252
Year of Publication: 2009
ISBN:978-1-60558-458-4
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Downloads (6 Weeks): 10, Downloads (12 Months): 33, Citation Count: 0
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ABSTRACT
We introduce revenue submodularity, the property that market expansion has diminishing returns on an auction's expected revenue. We prove that revenue submodularity is generally possible only in matroid markets, that Bayesian-optimal auctions are always revenue-submodular in such markets, and that the VCG mechanism is revenue-submodular in matroid markets with i.i.d bidders and "sufficient competition". We also give two applications of revenue submodularity: good approximation algorithms for novel market expansion problems, and approximate revenue guarantees for the VCG mechanism with i.i.d bidders.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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Gagan Aggarwal , Ashish Goel , Rajeev Motwani, Truthful auctions for pricing search keywords, Proceedings of the 7th ACM conference on Electronic commerce, p.1-7, June 11-15, 2006, Ann Arbor, Michigan, USA
[doi> 10.1145/1134707.1134708]
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2
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Moshe Babaioff , Nicole Immorlica , Robert Kleinberg, Matroids, secretary problems, and online mechanisms, Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms, p.434-443, January 07-09, 2007, New Orleans, Louisiana
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3
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Sushil Bikhchandani , Sven de Vries , James Schummer , Rakesh V. Vohra, Ascending auctions for integral (poly)matroids with concave nondecreasing separable values, Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms, p.864-873, January 20-22, 2008, San Francisco, California
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4
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J. Bulow and P. Klemperer. Auctions versus negotiations. American Economic Review, 86(1):180--194, 1996.
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5
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Gruia Calinescu , Chandra Chekuri , Martin Pál , Jan Vondrák, Maximizing a Submodular Set Function Subject to a Matroid Constraint (Extended Abstract), Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization, June 25-27, 2007, Ithaca, NY, USA
[doi> 10.1007/978-3-540-72792-7_15]
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6
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Matthew C. Cary , Abraham D. Flaxman , Jason D. Hartline , Anna R. Karlin, Auctions for structured procurement, Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms, p.304-313, January 20-22, 2008, San Francisco, California
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7
|
Florin Constantin , Jon Feldman , S. Muthukrishnan , Martin Pál, An online mechanism for ad slot reservations with cancellations, Proceedings of the Nineteenth Annual ACM -SIAM Symposium on Discrete Algorithms, p.1265-1274, January 04-06, 2009, New York, New York
|
| |
8
|
B. Edelman, M. Ostrovsky, and M. Schwarz. Internet advertising and the generalized second price auction: Selling billions of dollars worth of keywords. American Economic Review, 97(1):242--259, 2007.
|
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9
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B. Edelman and M. Schwarz. Optimal auction design in a multi-unit environment: The case of sponsored search auctions. Unpublished manuscript, 2006.
|
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10
|
|
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11
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P.R. Goundan and A.S. Schulz. Revisiting the greedy approach to submodular set function maximization. Preprint, 2009.
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12
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J.D. Hartline and T. Roughgarden. Simple versus optimal auctions. In these proceedings.
|
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13
|
|
 |
14
|
|
| |
15
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P. Milgrom. Putting Auction Theory to Work. Cambridge, 2004.
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16
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R. Myerson. Optimal auction design. Mathematics of Operations Research, 6(1):58--73, 1981.
|
| |
17
|
Z. Neeman. The effectiveness of English auctions. Games and Economic Behavior, 43(2):214--238, 2003.
|
| |
18
|
G.L. Nemhauser, L.A. Wolsey, and M.L. Fisher. An analysis of approximations for maximizing submodular set functions -- I. Mathematical Programming, 14(3):265--294, 1978.
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19
|
J.G. Oxley. Matroid Theory. Oxford, 1992.
|
 |
20
|
|
| |
21
|
|
| |
22
|
A. Vardy. The intractability of computing the minimum distance of a code. IEEE Transactions on Information Theory, 43(6):1757--1766, 1997.
|
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23
|
H. Varian. Position auctions. International Journal of Industrial Organization, 25(6):1163--1178, 2007.
|
| |
24
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D.J. Welsh. Matroid Theory. Academic Press, 1976.
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