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Multi-unit auctions: Beyond Roberts

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  • Dobzinski, Shahar
  • Nisan, Noam

Abstract

We study environments with m homogenous items and two bidders, where the private information of each bidder consists of a monotone valuation (multi-unit auctions). We analyze ex-post implementable social choice functions where the dominant strategy of a bidder is to reveal his valuation.

Suggested Citation

  • Dobzinski, Shahar & Nisan, Noam, 2015. "Multi-unit auctions: Beyond Roberts," Journal of Economic Theory, Elsevier, vol. 156(C), pages 14-44.
    • Handle: RePEc:eee:jetheo:v:156:y:2015:i:c:p:14-44
    DOI: 10.1016/j.jet.2014.04.006
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    References listed on IDEAS

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    1. Mishra, Debasis & Sen, Arunava, 2012. "Robertsʼ Theorem with neutrality: A social welfare ordering approach," Games and Economic Behavior, Elsevier, vol. 75(1), pages 283-298.
    2. Nisan, Noam & Ronen, Amir, 2001. "Algorithmic Mechanism Design," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 166-196, April.
    3. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    4. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, July.
    5. Carbajal, Juan Carlos & McLennan, Andrew & Tourky, Rabee, 2013. "Truthful implementation and preference aggregation in restricted domains," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1074-1101.
    6. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-1144, September.
    7. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 469-490, December.
    8. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    9. Itai Ashlagi & Mark Braverman & Avinatan Hassidim & Dov Monderer, 2010. "Monotonicity and Implementability," Econometrica, Econometric Society, vol. 78(5), pages 1749-1772, September.
    10. Nisan, Noam & Segal, Ilya, 2006. "The communication requirements of efficient allocations and supporting prices," Journal of Economic Theory, Elsevier, vol. 129(1), pages 192-224, July.
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    Citations

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    Cited by:

    1. Carbajal, Juan Carlos & Müller, Rudolf, 2017. "Monotonicity and revenue equivalence domains by monotonic transformations in differences," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 29-35.
    2. Leucci, Stefano & Mamageishvili, Akaki & Penna, Paolo, 2018. "No truthful mechanism can be better than n approximate for two natural problems," Games and Economic Behavior, Elsevier, vol. 111(C), pages 64-74.
    3. Blume, Lawrence & Easley, David & Kleinberg, Jon & Kleinberg, Robert & Tardos, Éva, 2015. "Introduction to computer science and economic theory," Journal of Economic Theory, Elsevier, vol. 156(C), pages 1-13.
    4. Satoshi Takahashi & Yoichi Izunaga & Naoki Watanabe, 2018. "An approximation algorithm for multi-unit auctions: numerical and subject experiments," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(1), pages 95-115.

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    More about this item

    Keywords

    Incentive compatibility; Incentive compatible mechanism;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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