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Double auction with interdependent values: incentives and efficiency

Author

Listed:
  • Kojima, Fuhito

    (Department of Economics, Stanford University)

  • Yamashita, Takuro

    (Toulouse School of Economics, University of Toulouse Capitole)

Abstract
We study a double auction environment where buyers and sellers have inter-dependent valuations and multiunit demand and supply. We propose a new mechanism, the groupwise-price mechanism. We show that the mechanism satisfies ex post incentive compatibility, individual rationality, feasibility, non-wastefulness, and no budget deficit. Moreover, the mechanism is asymptotically efficient in that the trade outcome in the mechanism converges to the efficient level as in a competitive equilibrium as the numbers of the buyers and sellers become large. Our groupwise-price mechanism is the first double auction mechanism with these properties in the interdependent values setting.

Suggested Citation

  • Kojima, Fuhito & Yamashita, Takuro, 2017. "Double auction with interdependent values: incentives and efficiency," Theoretical Economics, Econometric Society, vol. 12(3), September.
  • Handle: RePEc:the:publsh:2275
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    2. Suehyun Kwon, 2018. "Selling Complementary Goods: Information and Products," CESifo Working Paper Series 7394, CESifo.
    3. Song, Yangwei, 2023. "Approximate Bayesian implementation and exact maxmin implementation: An equivalence," Games and Economic Behavior, Elsevier, vol. 139(C), pages 56-87.
    4. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," LSE Research Online Documents on Economics 83199, London School of Economics and Political Science, LSE Library.
    5. Hashimoto, Tadashi, 2018. "The generalized random priority mechanism with budgets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 708-733.
    6. Kiho Yoon, 2021. "Robust double auction mechanisms," Papers 2102.00669, arXiv.org, revised May 2022.
    7. Matthias Lang, 2020. "Mechanism Design with Narratives," CESifo Working Paper Series 8502, CESifo.
    8. Kwanghyun Kim, 2024. "On the existence of efficient multilateral trading mechanisms with interdependent values," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 579-608, June.
    9. Schottmüller, Christoph, 2023. "Optimal information structures in bilateral trade," Theoretical Economics, Econometric Society, vol. 18(1), January.
    10. Jinpeng Ma & Qiongling Li, 2016. "Convergence of price processes under two dynamic double auctions," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 1-44, December.
    11. Margaretha Gansterer & Richard F. Hartl, 2018. "Centralized bundle generation in auction-based collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(3), pages 613-635, July.
    12. Pavlo Prokopovych & Nicholas C. Yannelis, 2022. "On nondegenerate equilibria of double auctions with several buyers and a price floor," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 625-654, April.
    13. Nejat Anbarci & Jaideep Roy, 2018. "Double auctions with no-loss constrained traders," Theory and Decision, Springer, vol. 84(1), pages 1-9, January.
    14. Song, Yangwei, 2022. "Approximate Bayesian Implementation and Exact Maxmin Implementation: An Equivalence," Rationality and Competition Discussion Paper Series 362, CRC TRR 190 Rationality and Competition.

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    More about this item

    Keywords

    Double auction; interdependent values; multi-unit demand and supply; ex post incentive compatibility; asymptotic efficiency;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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