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Strategy-proofness and identical preferences lower bound in allocation problem of indivisible objects

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  • Kazuhiko Hashimoto

    () (Osaka University of Economics)

Abstract

We study an allocation problem of heterogeneous indivisible objects among agents without money. Each agent receives at most one object and prefers any object to nothing. We identify the class of rules satisfying strategy-proofness, Pareto-efficiency, and the identical preferences lower bound. Each rule of this class is included in Pápai’s (Econometrica 68:1403–1433, 2000) rules and can be described by a top trading cycle rule associated with an inheritance structure that satisfies a symmetry condition called U-symmetry.

Suggested Citation

  • Kazuhiko Hashimoto, 2018. "Strategy-proofness and identical preferences lower bound in allocation problem of indivisible objects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 1045-1078, June.
  • Handle: RePEc:spr:joecth:v:65:y:2018:i:4:d:10.1007_s00199-017-1049-9
    DOI: 10.1007/s00199-017-1049-9
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    References listed on IDEAS

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    1. Carmen BeviÂ, 1998. "Fair allocation in a general model with indivisible goods," Review of Economic Design, Springer;Society for Economic Design, vol. 3(3), pages 195-213.
    2. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
    3. Lars Ehlers & Bettina Klaus, 2007. "Consistent House Allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 561-574, March.
    4. Rodrigo Velez, 2014. "Consistent strategy-proof assignment by hierarchical exchange," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 125-156, May.
    5. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    6. Pycia, Marek & Ünver, M. Utku, 2017. "Incentive compatible allocation and exchange of discrete resources," Theoretical Economics, Econometric Society, vol. 12(1), January.
    7. Yuji Fujinaka & Toyotaka Sakai, 2007. "The Manipulability of Fair Solutions in Assignment of an Indivisible Object with Monetary Transfers," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 993-1011, December.
    8. 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.
    9. Moulin, Herve, 1990. "Uniform externalities : Two axioms for fair allocation," Journal of Public Economics, Elsevier, vol. 43(3), pages 305-326, December.
    10. Ehlers, Lars & Klaus, Bettina, 2006. "Efficient priority rules," Games and Economic Behavior, Elsevier, vol. 55(2), pages 372-384, May.
    11. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    12. William Thomson, 2003. "On monotonicity in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 195-205, October.
    13. Ehlers, Lars & Klaus, Bettina & Papai, Szilvia, 2002. "Strategy-proofness and population-monotonicity for house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 329-339, November.
    14. Sönmez, Tayfun & Ünver, M. Utku, 2010. "House allocation with existing tenants: A characterization," Games and Economic Behavior, Elsevier, vol. 69(2), pages 425-445, July.
    15. 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.
    16. Onur Kesten, 2009. "Coalitional strategy-proofness and resource monotonicity for house allocation problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 17-21, March.
    17. Carmen Bevia, 1996. "Identical preferences lower bound solution and consistency in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 113-126, January.
    18. Tayfun Sönmez & M. Utku Ünver, 2009. "Matching, Allocation, and Exchange of Discrete Resources," Boston College Working Papers in Economics 717, Boston College Department of Economics.
    19. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
    20. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
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    More about this item

    Keywords

    Strategy-proofness; Pareto-efficiency; Identical preferences lower bound; Top trading cycle rule;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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