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Fair and group strategy-proof good allocation with money

Author

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  • Conan Mukherjee
Abstract
We completely characterize the class of fair and group strategy-proof mechanisms. We consider two notions of fairness, anonymity in welfare and no-envy. Both fairness axioms, when applied with strategy-proofness, imply decision efficiency, and lead to the same class of group strategy-proof mechanisms (where the group size is restricted to two). We find that the only feasible mechanism satisfying a mild zero transfer axiom, in this class, is the Pivotal mechanism. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 289-311, February.
    • Handle: RePEc:spr:sochwe:v:42:y:2014:i:2:p:289-311
    DOI: 10.1007/s00355-013-0733-3
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    2. Hiroki Shinozaki, 2022. "Characterizing pairwise strategy-proof rules in object allocation problems with money," ISER Discussion Paper 1187, Institute of Social and Economic Research, Osaka University.
    3. Andersson, Tommy & Svensson, Lars-Gunnar, 2024. "Strategy-proof allocation of objects: A characterization result," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 1-5.
    4. Yuya Wakabayashi & Ryosuke Sakai & Hiroki Shinozaki, 2024. "Strategy-proof allocation problem with hard budget constraints and income effects: weak efficiency and fairness," OSIPP Discussion Paper 24E003, Osaka School of International Public Policy, Osaka University.
    5. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.
    6. Ranojoy Basu & Conan Mukherjee, 2024. "Characterization of maxmed mechanisms for multiple objects," Review of Economic Design, Springer;Society for Economic Design, vol. 28(2), pages 313-330, June.
    7. Conan Mukherjee, 2020. "On group strategyproof and optimal object allocation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 289-304, October.
    8. , & ,, 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.
    9. Hagen, Martin, 2019. "Collusion-proof and fair auctions," Economics Letters, Elsevier, vol. 185(C).
    10. Chun, Youngsub & Yengin, Duygu, 2017. "Welfare lower bounds and strategy-proofness in the queueing problem," Games and Economic Behavior, Elsevier, vol. 102(C), pages 462-476.
    11. Quadir, Abdul, 2017. "Spanning tree auctions: A complete characterization," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 1-8.
    12. Debasis Mishra & Abdul Quadir, 2012. "Deterministic single object auctions with private values," Discussion Papers 12-06, Indian Statistical Institute, Delhi.
    13. Athanasiou, Efthymios, 2013. "A Solomonic solution to the problem of assigning a private indivisible good," Games and Economic Behavior, Elsevier, vol. 82(C), pages 369-387.
    14. Debasis Mishra & Abdul Quadir, 2014. "Non-bossy single object auctions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 93-110, April.

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    More about this item

    Keywords

    Anonymity in welfare; No-envy; Group strategy-proof mechanism; C72; C78; D71; D63;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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