| Mediators in position auctions |
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Electronic Commerce
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Proceedings of the 8th ACM conference on Electronic commerce
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San Diego, California, USA
SESSION: Searching for sponsors
table of contents
Pages: 279 - 287
Year of Publication: 2007
ISBN:978-1-59593-653-0
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Downloads (6 Weeks): 5, Downloads (12 Months): 54, Citation Count: 0
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ABSTRACT
A mediator is a reliable entity, which can play on behalf of agents in a given game. A mediator however can not enforce the use of its services, and each agent is free to participate in the game directly. In this paper we introduce a study of mediators for games with incomplete information, and apply it to the context of position auctions, a central topic in electronic commerce. VCG position auctions, which are currently not used in practice, possess somenice theoretical properties, such as the optimization of social surplus and having dominant strategies. These properties may not be satisfied by current position auctions and their variants. We therefore concentrate on the search for mediators that will allow to transform current position auctions into VCG position auctions. We require that accepting the mediator services, and reporting honestly to the mediator, will form an ex post equilibrium, which satisfiesthe following rationality condition: an agent's payoff can not be negative regardless of the actions taken by the agents who did not choose the mediator's services, or by the agents who report false types to the mediator. We prove the existence of such desired mediators for the next-price (Google-like) position auctions, as well as for a richer class of position auctions, including k-price position auctions, k>1. For k=1, the self-price position auction, we show that the existence of such mediator depends on the tie breaking rule used in the auction.
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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1
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R.J. Aumann. Subjectivity and correlation in randomized strategies. Journal of Mathematical Economics, 1:67--96, 1974.
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2
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N.A.R. Bhat, K. Leyton-Brown, Y. Shoham, and M. Tennenholtz. Bidding Rings Revisited. Working Paper, 2005.
|
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3
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B. Edelman, M. Ostrovsky, and M. Schwarz. Internet advertising and the generalized second price auction: Selling billions of dollars worth of keywords. NBER working paper 11765, Novenmber 2005.
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4
|
|
| |
5
|
F. M. Forges. An approach to communication equilibria. Econometrica, 54(6):1375--85, 1986.
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6
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D. Graham and R. Marshall. Collusive Bidder Behavior at Single-Object Second-Price and English Auctions. Journal of Political Economy, 95:1217--1239,1987.
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7
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R. Holzman, N. Kfir-Dahav, D. Monderer, and M. Tennenholtz. Bundling equilibrium in combinatorial auctions. Games and Economic Behavior, 47:104--123, 2004.
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8
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E. Kalai and R.W. Rosenthal. Arbitration of Two-Party Disputes under Ignorance. International Journal of Game Theory, 7:65--72, 1976.
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9
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|
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10
|
|
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11
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R. McAfee and J. McMillan. Bidding Rings. American Economic Review, 82:579--599, 1992.
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12
|
|
| |
13
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D. Monderer and M. Tennenholtz. K-Implementation. Journal of Artificial Intelligence Research (JAIR), 21:37--62, 2004.
|
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14
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D. Monderer and M. Tennenholtz. Strong mediated equilibrium. In Proceedings of the AAAI, 2006.
|
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15
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R. B. Myerson. Multistage games with communication. Econometrica, 54(2):323--358, 1986.
|
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16
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O. Rozenfeld and M. Tennenholtz. Routing mediators. In Proceedings of the 23rd International Joint Conferences on Artificial Intelligence(IJCAI-07), pages 1488--1493, 2007.
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17
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H. Varian. Position auctions. Technical report, UC Berkeley, 2006.
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