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Simplified mechanisms with an application to sponsored-search auctions

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  • Milgrom, Paul

Abstract

A mechanism can be simplified by restricting its message space. If the restricted message spaces satisfy a certain "outcome closure property," then the simplification is "tight": for every [epsilon][greater-or-equal, slanted]0, any [epsilon]-Nash equilibrium of the simplified mechanism is also an [epsilon]-Nash equilibrium of the unrestricted mechanism. Prominent auction and matching mechanisms are tight simplifications of mechanisms studied in economic theory and often incorporate price-adjustment features that facilitate simplification. The generalized second-price auction used for sponsored-search advertising is a tight simplification of a series of second-price auctions that eliminates the lowest revenue equilibrium outcomes and leaves intact only higher revenue equilibria.

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Bibliographic Info

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

Volume (Year): 70 (2010)
Issue (Month): 1 (September)
Pages: 62-70

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Handle: RePEc:eee:gamebe:v:70:y:2010:i:1:p:62-70

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

Related research

Keywords: Sponsored search Generalized second-price auctions Mechanism design;

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References

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  1. Paul Milgrom, 2003. "Matching with Contracts," Working Papers 03003, Stanford University, Department of Economics.
  2. Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc.
  3. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2005. "Internet Advertising and the Generalized Second Price Auction: Selling Billions of Dollars Worth of Keywords," NBER Working Papers 11765, National Bureau of Economic Research, Inc.
  4. Simon, Leo K. & Zame, William R., 1987. "Discontinous Games and Endogenous Sharing Rules," Department of Economics, Working Paper Series qt8n46v2wv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  5. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  6. Paul Milgrom, 2009. "Assignment Messages and Exchanges," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 95-113, August.
  7. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
  8. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  9. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
  10. Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-27, January.
  11. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  12. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February.
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Citations

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Cited by:
  1. Kos, Nenad, 2012. "Communication and efficiency in auctions," Games and Economic Behavior, Elsevier, vol. 75(1), pages 233-249.
  2. Hideo Konishi & Chiu Yu Ko, 2009. "Profit-Maximizing Matchmaker," Boston College Working Papers in Economics 721, Boston College Department of Economics, revised 23 Apr 2012.
  3. Matías Núñez & Jean Laslier, 2014. "Preference intensity representation: strategic overstating in large elections," Social Choice and Welfare, Springer, vol. 42(2), pages 313-340, February.
  4. Blumrosen, Liad & Feldman, Michal, 2013. "Mechanism design with a restricted action space," Games and Economic Behavior, Elsevier, vol. 82(C), pages 424-443.
  5. Perez-Richet, Eduardo, 2011. "A note on the tight simplification of mechanisms," Economics Letters, Elsevier, vol. 110(1), pages 15-17, January.
  6. White, Alexander, 2013. "Search engines: Left side quality versus right side profits," International Journal of Industrial Organization, Elsevier, vol. 31(6), pages 690-701.

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