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Fair and group strategy-proof good allocation with money

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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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    Cited by:

    1. 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.
    2. 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.
    3. , & ,, 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.
    4. Hagen, Martin, 2019. "Collusion-proof and fair auctions," Economics Letters, Elsevier, vol. 185(C).
    5. 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.
    6. Quadir, Abdul, 2017. "Spanning tree auctions: A complete characterization," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 1-8.
    7. Andersson, Tommy & Svensson, Lars-Gunnar, 2018. "Strategy-Proof Allocation of Objects Revisited," Working Papers 2018:21, Lund University, Department of Economics.
    8. 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.
    9. Debasis Mishra & Abdul Quadir, 2012. "Deterministic single object auctions with private values," Discussion Papers 12-06, Indian Statistical Institute, Delhi.
    10. 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.
    11. 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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