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

Author

Listed:
  • 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.

Suggested Citation

  • Bettina Klaus & Eiichi Miyagawa, 2002. "Strategy-proofness, solidarity, and consistency for multiple assignment problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 421-435.
  • 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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    Citations

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    Cited by:

    1. Eric Budish & Estelle Cantillon, 2012. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," American Economic Review, American Economic Association, vol. 102(5), pages 2237-2271, August.
    2. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    3. Onur Kesten & Ayşe Yazıcı, 2012. "The Pareto-dominant strategy-proof and fair rule for problems with indivisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 463-488, June.
    4. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 147-169, September.
    5. Kratz, Jörgen, 2014. "Overlapping Multiple Assignments," Working Papers 2014:44, Lund University, Department of Economics.
    6. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
    7. 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).
    8. Bettina Klaus & Alexandru Nichifor, 2017. "Serial Dictatorship Mechanisms with Reservation Prices," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 17.07, Université de Lausanne, Faculté des HEC, DEEP.
    9. Papai, Szilvia, 2007. "Exchange in a general market with indivisible goods," Journal of Economic Theory, Elsevier, vol. 132(1), pages 208-235, January.
    10. Eve Ramaekers, 2013. "Fair allocation of indivisible goods: the two-agent case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 359-380, July.
    11. Papai, Szilvia, 2003. "Strategyproof exchange of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 931-959, November.

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