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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.

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  • 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, 2017. "Strategy-proofness in the Large," NBER Working Papers 23771, National Bureau of Economic Research, Inc.
    3. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    4. Bade, Sophie, 2015. "Serial dictatorship: the unique optimal allocation rule when information is endogenous," Theoretical Economics, Econometric Society, vol. 10(2), May.
    5. repec:spr:sochwe:v:48:y:2017:i:4:d:10.1007_s00355-017-1041-0 is not listed on IDEAS
    6. Kojima, Fuhito, 2009. "Random assignment of multiple indivisible objects," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 134-142, January.

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