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Simplified Mechanisms with an Application to Sponsored-Search Auctions

  • Paul Milgrom

    ()

    (Stanford University)

A mechanism can be simplified by restricting its message space. If the restricted message space satisfies a certain “outcome closure property,” then the simplification is “tight”: for every S=0 any Nash equilibrium of the simplified mechanism is also an 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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Paper provided by Stanford Institute for Economic Policy Research in its series Discussion Papers with number 08-013.

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Date of creation: Dec 2008
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Handle: RePEc:sip:dpaper:08-013
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  10. 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.
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  12. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
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