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On the incentive properties of multi-item auctions

Author

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  • Mitsunobu Miyake

    (Department of Economics, University of Kagawa, Takamatsu, 760, Japan)

Abstract

In a market of indivisible objects where a buyer consumes at most one object, the buyer-optimal auction is a multi-item generalization of Vickrey's second-price auction. If the optimal auction is formulated as a strategic game, it is well-known that it satisfies good incentive properties, i.e., the honest strategy profile is a Nash equilibrium, a unique perfect equilibrium and a dominant strategy equilibrium. For each of the three incentive properties, it is shown that the optimal auction is a unique auction satisfying the property. The uniqueness results are derived in a general setting with budget constraints and non-linear utilities.

Suggested Citation

  • Mitsunobu Miyake, 1998. "On the incentive properties of multi-item auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(1), pages 1-19.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:1:p:1-19
    Note: Received November 1995/Revised version October 1996/Final version March 1997
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    Citations

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    Cited by:

    1. Miyake, Mitsunobu, 2003. "Precise computation of a competitive equilibrium of the discrete land market model," Regional Science and Urban Economics, Elsevier, vol. 33(6), pages 721-743, October.
    2. Yu Zhou & Shigehiro Serizawa, 2016. "Strategy-Proofness and Efficiency for Non-quasi-linear Common-Tiered-Object Preferences: Characterization of Minimum Price Rule," ISER Discussion Paper 0971, Institute of Social and Economic Research, Osaka University.
    3. van den Brink, René & Núñez, Marina & Robles, Francisco, 2021. "Valuation monotonicity, fairness and stability in assignment problems," Journal of Economic Theory, Elsevier, vol. 195(C).
    4. David Pérez-Castrillo & Marilda Sotomayor, 2017. "On the manipulability of competitive equilibrium rules in many-to-many buyer–seller markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1137-1161, November.
    5. Andersson, Tommy & Svensson, Lars-Gunnar, 2024. "Strategy-proof allocation of objects: A characterization result," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 1-5.
    6. Itai Ashlagi & Shigehiro Serizawa, 2012. "Characterizing Vickrey allocation rule by anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 531-542, March.
    7. , & ,, 2015. "Strategy-proofness and efficiency with non-quasi-linear preferences: a characterization of minimum price Walrasian rule," Theoretical Economics, Econometric Society, vol. 10(2), May.
    8. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2020. "Non-Manipulable House Exchange under (Minimum) Equilibrium Prices," Working Papers 2020:28, Lund University, Department of Economics, revised 04 Nov 2024.
    9. Mishra, Debasis & Garg, Rahul, 2006. "Descending price multi-item auctions," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 161-179, April.
    10. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 391-401, May.
    11. Bando, Keisuke & Kawasaki, Ryo, 2021. "Stability properties of the core in a generalized assignment problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 211-223.
    12. Toyotaka Sakai, 2013. "An equity characterization of second price auctions when preferences may not be quasilinear," Review of Economic Design, Springer;Society for Economic Design, vol. 17(1), pages 17-26, March.
    13. Zhou, Yu & Serizawa, Shigehiro, 2018. "Strategy-proofness and efficiency for non-quasi-linear and common-tiered-object preferences: Characterization of minimum price rule," Games and Economic Behavior, Elsevier, vol. 109(C), pages 327-363.
    14. Toyotaka Sakai, 2008. "Second price auctions on general preference domains: two characterizations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 347-356, November.

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