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Strategy-proof allocation of objects: A characterization result

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  • Andersson, Tommy
  • Svensson, Lars-Gunnar

Abstract

This paper considers an allocation problem with a finite number of objects and unit-demand agents. The main result is a characterization of a class of strategy-proof price mechanisms on a general domain where preferences over pairs of objects and houses are rational, monotonic, and continuous. A mechanism belongs to this class if and only if the price space is restricted in a special way and, given this restriction, that the mechanism selects minimal equilibrium prices.

Suggested Citation

  • Andersson, Tommy & Svensson, Lars-Gunnar, 2024. "Strategy-proof allocation of objects: A characterization result," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 1-5.
    • Handle: RePEc:eee:matsoc:v:128:y:2024:i:c:p:1-5
    DOI: 10.1016/j.mathsocsci.2023.12.004
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    References listed on IDEAS

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    1. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
    2. Svensson, Lars-Gunnar, 2004. "Strategy-Proof and Fair Wages," Working Papers 2004:8, Lund University, Department of Economics.
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    5. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    6. Sun, Ning & Yang, Zaifu, 2003. "A general strategy proof fair allocation mechanism," Economics Letters, Elsevier, vol. 81(1), pages 73-79, October.
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    8. Andersson, Tommy & Svensson, Lars-Gunnar, 2008. "Non-manipulable assignment of individuals to positions revisited," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 350-354, November.
    9. 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.
    10. 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.
    11. , & ,, 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.
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    13. 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.
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    More about this item

    Keywords

    Characterization; House allocation; Strategy-proofness; Multi-object auction;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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