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Strategyproof and Nonbossy Multiple Assignments

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  • Papai, Szilvia

Abstract

We consider the allocation of heterogeneous indivisible objects without using monetary transfers. Each agent may be assigned more than one object. We show that an allocation rule is strategyproof, nonbossy, and satisfies citizen sovereignty if and only if it is a sequential dictatorship. In a sequential dictatorship agents are assigned their favorite objects that are still available, according to a sequentially endogenously determined hierarchy of the agents. We also establish that replacing nonbossiness by a stronger criterion restricts the characterized class of allocation rules to serial dictatorships, in which the hierarchy of the agents is fixed a priori. Copyright 2001 by Blackwell Publishing Inc.

Suggested Citation

  • Papai, Szilvia, 2001. "Strategyproof and Nonbossy Multiple Assignments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(3), pages 257-271.
    • Handle: RePEc:bla:jpbect:v:3:y:2001:i:3:p:257-71
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    Cited by:

    1. Monte, Daniel & Tumennasan, Norovsambuu, 2015. "Centralized allocation in multiple markets," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 74-85.
    2. Eduardo M Azevedo & Eric Budish, 2019. "Strategy-proofness in the Large," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 81-116.
    3. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    4. Gian Caspari, 2023. "A market design solution to a multi-category housing allocation problem," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 8(1), pages 75-96, December.
    5. Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, 2023. "Sequential dictatorship rules in multi-unit objectassignment problems with money," Discussion papers e-23-007, Graduate School of Economics , Kyoto University.
    6. Bichler, Martin & Merting, Sören, 2018. "Truthfulness in advertising? Approximation mechanisms for knapsack bidders," European Journal of Operational Research, Elsevier, vol. 270(2), pages 775-783.
    7. Afacan, Mustafa Oğuz & Bó, Inácio, 2022. "Strategy-proof popular mechanisms," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    8. ,, 2015. "Serial dictatorship: the unique optimal allocation rule when information is endogenous," Theoretical Economics, Econometric Society, vol. 10(2), May.
    9. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2017. "On societies choosing social outcomes, and their memberships: strategy-proofness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 857-875, April.
    10. Kojima, Fuhito, 2009. "Random assignment of multiple indivisible objects," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 134-142, January.
    11. Hoda Atef Yekta & Robert Day, 2020. "Optimization-based Mechanisms for the Course Allocation Problem," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 641-660, July.
    12. Masahiro KAWASAKI & Ryosuke SAKAI & Tomoya KAZUMURA, "undated". "Sequential dictatorship rules in multi-unit object assignment problems with money," Discussion papers e-23-007-v2, Graduate School of Economics , Kyoto University.
    13. Mustafa Oguz Afacan & Nejat Anbarci & Ozgur Kıbrıs, 2022. "Arbiter Assignment," Working Papers 2022_02, Durham University Business School.

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