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Mediators in position auctions

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  • Ashlagi, Itai
  • Monderer, Dov
  • Tennenholtz, Moshe
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    Abstract

    A mediator is a reliable entity which plays on behalf of the players who give her the right to play. The mediator acts in a pre-specified way based on messages received from the players. However, a mediator cannot enforce behavior; that is, players can play in the game directly without the mediator's help. A mediator generates a new game for the players, the mediated game. The outcome in the original game of an equilibrium in the mediated game is called a mediated equilibrium. Monderer and Tennenholtz introduced a theory of mediators for games with complete information. We extend the theory of mediators to games with incomplete information, and apply the new theory to position auctions, a central topic in electronic commerce. We provide a minimal set of conditions on position auctions, which is sufficient to guarantee that the VCG outcome function is a mediated equilibrium in these auctions.

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    Bibliographic Info

    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 67 (2009)
    Issue (Month): 1 (September)
    Pages: 2-21

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    Handle: RePEc:eee:gamebe:v:67:y:2009:i:1:p:2-21

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    Web page: http://www.elsevier.com/locate/inca/622836

    Related research

    Keywords: Mediator Position auction Implementation;

    References

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    1. Holzman, Ron & Monderer, Dov, 2004. "Characterization of ex post equilibrium in the VCG combinatorial auctions," Games and Economic Behavior, Elsevier, vol. 47(1), pages 87-103, April.
    2. AUMANN, Robert J., . "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP -167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Varian, Hal R., 2007. "Position auctions," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1163-1178, December.
    4. Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    6. Graham, Daniel A & Marshall, Robert C, 1987. "Collusive Bidder Behavior at Single-Object Second-Price and English Auctions," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1217-39, December.
    7. Roger B. Myerson, 1984. "Multistage Games with Communication," Discussion Papers 590, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Dov Monderer & Moshe Tennenholtz, 2004. "K-price auctions: Revenue inequalities, utility equivalence, and competition in auction design," Economic Theory, Springer, vol. 24(2), pages 255-270, August.
    9. Tauman, Yair, 2002. "A note on k-price auctions with complete information," Games and Economic Behavior, Elsevier, vol. 41(1), pages 161-164, October.
    10. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    11. Ehud Kalai & Robert W. Rosenthal, 1976. "Arbitration of Two-Party Disputes Under Ignorance," Discussion Papers 215, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-99, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    13. Holzman, Ron & Kfir-Dahav, Noa & Monderer, Dov & Tennenholtz, Moshe, 2004. "Bundling equilibrium in combinatorial auctions," Games and Economic Behavior, Elsevier, vol. 47(1), pages 104-123, April.
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    Cited by:
    1. Forges, Françoise, 2010. "Communication in Bayesian games: Overview of work on implementing mediators in game theory," Economics Papers from University Paris Dauphine 123456789/5279, Paris Dauphine University.

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