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Implementability, Walrasian equilibria, and efficient matchings

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  • Dworczak, Piotr
  • Zhang, Anthony Lee

Abstract

In general screening problems, implementable allocation rules correspond exactly to Walrasian equilibria of an economy in which types are consumers with quasilinear utility and unit demand. Due to the welfare theorems, an allocation rule is implementable if and only if it induces an efficient matching between types and goods.

Suggested Citation

  • Dworczak, Piotr & Zhang, Anthony Lee, 2017. "Implementability, Walrasian equilibria, and efficient matchings," Economics Letters, Elsevier, vol. 153(C), pages 57-60.
  • Handle: RePEc:eee:ecolet:v:153:y:2017:i:c:p:57-60
    DOI: 10.1016/j.econlet.2017.01.022
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    References listed on IDEAS

    as
    1. Hartline, Jason D. & Kleinberg, Robert & Malekian, Azarakhsh, 2015. "Bayesian incentive compatibility via matchings," Games and Economic Behavior, Elsevier, vol. 92(C), pages 401-429.
    2. Birgit Heydenreich & Rudolf Müller & Marc Uetz & Rakesh V. Vohra, 2009. "Characterization of Revenue Equivalence," Econometrica, Econometric Society, vol. 77(1), pages 307-316, January.
    3. Carbajal, Juan Carlos & Ely, Jeffrey C., 2013. "Mechanism design without revenue equivalence," Journal of Economic Theory, Elsevier, vol. 148(1), pages 104-133.
    4. Kos, Nenad & Messner, Matthias, 2013. "Extremal incentive compatible transfers," Journal of Economic Theory, Elsevier, vol. 148(1), pages 134-164.
    5. 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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    Citations

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    Cited by:

    1. Georg Nöldeke & Larry Samuelson, 2018. "The Implementation Duality," Econometrica, Econometric Society, vol. 86(4), pages 1283-1324, July.
    2. Piotr Dworczak, 2020. "Mechanism Design With Aftermarkets: Cutoff Mechanisms," Econometrica, Econometric Society, vol. 88(6), pages 2629-2661, November.

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    More about this item

    Keywords

    Implementability; Walrasian equilibrium; Efficient matchings; Assignment problem; Mechanism design;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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