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The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap

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  • Loertscher, Simon
  • Mezzetti, Claudio

Abstract

We prove that the deficit on each trade in a Vickrey double auction for a homogeneous good with multi-unit traders with multi-dimensional types is at least as large as the Walrasian price gap. We also show that as the number of traders grows large the aggregate deficit is bounded below by the ratio of the Walrasian price and the elasticity of excess supply at the Walrasian price.

Suggested Citation

  • Loertscher, Simon & Mezzetti, Claudio, 2019. "The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 101-106.
    • Handle: RePEc:eee:mateco:v:84:y:2019:i:c:p:101-106
    DOI: 10.1016/j.jmateco.2019.07.004
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    References listed on IDEAS

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    Cited by:

    1. Simon Loertscher & Leslie M. Marx, 2023. "Bilateral Trade with Multiunit Demand and Supply," Management Science, INFORMS, vol. 69(2), pages 1146-1165, February.
    2. Simon Loertscher & Leslie M. Marx, 2022. "To sell public or private goods," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 385-415, September.
    3. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    4. Delacrétaz, David & Loertscher, Simon & Mezzetti, Claudio, 2022. "When Walras meets Vickrey," Theoretical Economics, Econometric Society, vol. 17(4), November.
    5. Simon Loertscher & Leslie M. Marx, 2022. "Incomplete Information Bargaining with Applications to Mergers, Investment, and Vertical Integration," American Economic Review, American Economic Association, vol. 112(2), pages 616-649, February.
    6. Loertscher, Simon & Marx, Leslie M., 2020. "A dominant-strategy asset market mechanism," Games and Economic Behavior, Elsevier, vol. 120(C), pages 1-15.

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