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Strategy-proofness, solidarity, and consistency for multiple assignment problems

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Author Info

  • Bettina Klaus

    ()
    (Department of Economics, University of Nebraska-Lincoln, Lincoln, NE 68588-0489, USA; e-mail: bklaus1@unl.edu)

  • Eiichi Miyagawa

    ()
    (Department of Economics, Columbia University, 420 West 118th Street, New York, NY 10027, USA; e-mail: em437@columbia.edu)

Abstract

We consider a problem of allocating indivisible objects when agents may desire to consume more than one object and no monetary transfers are allowed. We are interested in allocation rules that satisfy desirable properties from an economic and social point of view. In addition to strategy-proofness and Pareto efficiency, we consider consistency and two solidarity properties (replacement-domination and population-monotonicity). In most of the cases, these properties are satisfied only by serially dictatorial rules.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 30 (2002)
Issue (Month): 3 ()
Pages: 421-435

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Handle: RePEc:spr:jogath:v:30:y:2002:i:3:p:421-435

Note: Received: November 1999/Final version: December 2001
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Related research

Keywords: Serial dictatorship · strategy-proofness · population-monotonicity · consistency;

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Cited by:
  1. Papai, Szilvia, 2007. "Exchange in a general market with indivisible goods," Journal of Economic Theory, Elsevier, vol. 132(1), pages 208-235, January.
  2. Budish, Eric & Cantillon, Estelle, 2010. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," CEPR Discussion Papers 7641, C.E.P.R. Discussion Papers.
  3. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Papai, Szilvia, 2003. "Strategyproof exchange of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 931-959, November.
  5. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer, vol. 48(1), pages 147-169, September.
  6. Onur Kesten & Ayşe Yazıcı, 2012. "The Pareto-dominant strategy-proof and fair rule for problems with indivisible goods," Economic Theory, Springer, vol. 50(2), pages 463-488, June.

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