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Bayesian incentive compatibility via matchings

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  • Hartline, Jason D.
  • Kleinberg, Robert
  • Malekian, Azarakhsh

Abstract

Optimally allocating cellphone spectrum, advertisements on the Internet, and landing slots at airports is computationally intractable. When the participants may strategize, not only must the optimizer deal with complex feasibility constraints but also with complex incentive constraints. We give a very simple method for constructing a Bayesian incentive compatible mechanism from any, potentially non-optimal, algorithm that maps agents' reports to an allocation. The expected welfare of the mechanism is, approximately, at least that of the algorithm on the agents' true preferences.

Suggested Citation

  • Hartline, Jason D. & Kleinberg, Robert & Malekian, Azarakhsh, 2015. "Bayesian incentive compatibility via matchings," Games and Economic Behavior, Elsevier, vol. 92(C), pages 401-429.
  • Handle: RePEc:eee:gamebe:v:92:y:2015:i:c:p:401-429
    DOI: 10.1016/j.geb.2015.02.002
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    References listed on IDEAS

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    1. Sergiu Hart & Noam Nisan, 2013. "The Menu-Size Complexity of Auctions," Discussion Paper Series dp637, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    2. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    3. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    4. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    5. Shuchi Chawla & Jason Hartline & David Malec & Balasubramanian Sivan, 2010. "Sequential Posted Pricing and Multi-parameter Mechanism Design," Discussion Papers 1486, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    7. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    8. Mark Armstrong, 1999. "Price Discrimination by a Many-Product Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 151-168.
    9. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    10. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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    Cited by:

    1. Dworczak, Piotr & Zhang, Anthony Lee, 2017. "Implementability, Walrasian equilibria, and efficient matchings," Economics Letters, Elsevier, vol. 153(C), pages 57-60.
    2. Tim Roughgarden & Inbal Talgam-Cohen, 2018. "Approximately Optimal Mechanism Design," Papers 1812.11896, arXiv.org, revised Aug 2020.

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    More about this item

    Keywords

    Bayesian mechanism design; Algorithmic mechanism design; Incentive compatibility; Multi-dimensional preferences;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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