Abstract
Competitive auctions encourage consumers to bid their utility values while achieving revenue close to that of fixed pricing with perfect market analysis. These auctions were introduced in [6] in the context of selling an unlimited number of copies of a single item (e.g., rights to watch a movie broadcast). In this paper we study the case of multiple items (e.g., concurrent broadcast of several movies). We show auctions that are competitive for this case. The underlying auction mechanisms are more sophisticated than in the single item case, and require solving an interesting optimization problem. Our results are based on a sampling problem that may have other applications.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
A. Borodin and R. El-Yaniv. Online Computation and Competitive Analysis. Cambridge University Press, 1998.
H. Chernoff. A Measure of Asymptotic Efficiency for Test of a Hypothesis Based on the Sum of Observations. Anals of Math. Stat., 23:493–509, 1952.
E. H. Clarke. Multipart Pricing of Public Goods. Public Choice, 11:17–33, 1971.
J. Edmonds and E. L. Johnson. Matching, a Well-Solved Class of Integer Linear Programs. In R. Guy, H. Haneni, and J. Schönhein, editors, Combinatorial Structures and Their Applications, pages 89–92. Gordon and Breach, NY, 1970.
J. Feigenbaum, C. Papadimitriou, and S. Shenker. Sharing the Cost of Multicast Transmissions. In Proc. of 32nd Symposium Theory of Computing, pages 218–226. ACM Press, New York, 2000.
A. V. Goldberg, J. D. Hartline, and A. Wright. Competitive auctions and digital goods. Technical Report STAR-TR-99.09.01, STAR Laboratory, InterTrust Tech. Corp., Santa Clara, CA, 1999. Available at URL http://www.star-lab.com/tr/tr-99-01.html.
A. V. Goldberg, J. D. Hartline, and A. Wright. Competitive Auctions and Digital Goods. In Proc. 12th Symp. on Discrete Alg., pages 735–744. ACM/SIAM, 2001.
T. Groves. Incentives in Teams. Econometrica, 41:617–631, 1973.
D. Lehmann, L. I. OĆallaghan, and Y. Shoham. Truth Revelation in Approximately Efficient Combinatorial Auctions. In Proc. of 1st ACM Conf. on E-Commerce, pages 96–102. ACM Press, New York, 1999.
N. Linial. Game Theoretic Aspects of Computing. In Handbook of Game Theory, volume 2, pages 1339–1395. Elseveir Science Publishers B.V., 1994.
R. Motwani and P. Raghavan. Randomized Algorithms. Cambridge University Press, 1995.
N. Nisan and A. Ronen. Algorithmic Mechanism Design. In Proc. of 31st Symposium on Theory of Computing, pages 129–140. ACM Press, New York, 1999.
A. E. Roth and M. A. Oliveira Sotomayor. Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis. Cambridge University Press, 1990.
L. S. Shapley. Core of Convex Games. Int. J. of Game Theory, 1:11–26, 1971.
L. S. Shapley and M. Shubik. The Assignment Game I: The Core. Int. J. of Game Theory, 1:111–130, 1972.
D. D. Sleator and R. E. Tarjan. Amortized Efficiency of List Update and Paging Rules. Communications of the ACM, 28:202–208, 1985.
W. Vickrey. Counterspeculation, Auctions, and Competitive Sealed Tenders. J. of Finance, 16:8–37, 1961.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Goldberg, A.V., Hartline, J.D. (2001). Competitive Auctions for Multiple Digital Goods. In: auf der Heide, F.M. (eds) Algorithms — ESA 2001. ESA 2001. Lecture Notes in Computer Science, vol 2161. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44676-1_35
Download citation
DOI: https://doi.org/10.1007/3-540-44676-1_35
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42493-2
Online ISBN: 978-3-540-44676-7
eBook Packages: Springer Book Archive