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Strategy-proofness and Efficiency with Nonquasi-linear Preferences: A Characterization of Minimum Price Walrasian Rule

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  • Shuhei Morimoto
  • Shigehiro Serizawa

Abstract

We consider the problems of allocating several heterogeneous objects owned by governments to a group of agents and how much agents should pay. Each agent receives at most one object and has nonquasi-linear preferences. Nonquasi-linear preferences describe environments in which large-scale payments influence agents' abilities to utilize objects or derive benefits from them. The "minimum price Walrasian (MPW) rule" is the rule that assigns a minimum price Walrasian equilibrium allocation to each preference profile. We establish that the MPW rule is the unique rule that satisfies the desirable properties of strategy-proofness, Pareto-efficiency, individual rationality, and nonnegative payment on the domain that includes nonquasi-linear preferences. This result does not only recommend the MPW rule based on those desirable properties, but also suggest that governments cannot improve upon the MPW rule once they consider them essential. Since the outcome of the MPW rule coincides with that of the simultaneous ascending (SA) auction, our result explains the pervasive use of the SA auction.

Suggested Citation

  • Shuhei Morimoto & Shigehiro Serizawa, 2012. "Strategy-proofness and Efficiency with Nonquasi-linear Preferences: A Characterization of Minimum Price Walrasian Rule," ISER Discussion Paper 0852, Institute of Social and Economic Research, Osaka University.
  • Handle: RePEc:dpr:wpaper:0852
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    Cited by:

    1. Tam'as Fleiner & Zsuzsanna Jank'o & Akihisa Tamura & Alexander Teytelboym, 2015. "Trading Networks with Bilateral Contracts," Papers 1510.01210, arXiv.org, revised Feb 2016.
    2. Fadaei, Salman & Bichler, Martin, 2017. "Truthfulness with value-maximizing bidders: On the limits of approximation in combinatorial markets," European Journal of Operational Research, Elsevier, vol. 260(2), pages 767-777.
    3. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Transferring Ownership of Public Housing to Existing Tenants: A Mechanism Design Approach," Working Papers 2014:23, Lund University, Department of Economics.
    4. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2016. "Transferring ownership of public housing to existing tenants: A market design approach," Journal of Economic Theory, Elsevier, vol. 165(C), pages 643-671.
    5. Tomoya Kazumura & Shigehiro Serizawa, 2016. "Efficiency and strategy-proofness in object assignment problems with multi-demand preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 633-663, October.
    6. 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.
    7. Andersson, Tommy & Svensson, Lars-Gunnar, 2018. "Sequential rules for house allocation with price restrictions," Games and Economic Behavior, Elsevier, vol. 107(C), pages 41-59.
    8. Ryan Tierney, 2016. "The problem of multiple commons: A market design approach," ISER Discussion Paper 0986, Institute of Social and Economic Research, Osaka University.
    9. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2015. "Non-manipulable rules for land rental problems," MPRA Paper 67334, University Library of Munich, Germany.
    10. Baisa, Brian, 2016. "Overbidding and inefficiencies in multi-unit Vickrey auctions for normal goods," Games and Economic Behavior, Elsevier, vol. 99(C), pages 23-35.
    11. Kerber, Manfred & Lange, Christoph & Rowat, Colin, 2016. "An introduction to mechanized reasoning," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 26-39.
    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.

    More about this item

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • 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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