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Pareto-optimal assignments by hierarchical exchange

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  • Sophie Bade

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    Abstract

    Papai’s 2000 hierarchical exchange mechanisms for house allocation problems determine matchings as the outcome of multiple rounds of trading cycles. Any hierarchical exchange mechanism can be defined through a structure of ownership, which determines the ownership of houses after any round of trading cycles. Given a permutation of agents, a “permuted” hierarchical exchange mechanism can be constructed by consistently permuting agents over the entire structure of ownership. The paper shows that for any Pareto-efficient matching and any hierarchical exchange mechanism, there is a permutation of agents in the ownership structure such that the induced permuted hierarchical exchange mechanism leads to this matching. Copyright Springer-Verlag Berlin Heidelberg 2014

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    Article provided by Springer in its journal Social Choice and Welfare.

    Volume (Year): 42 (2014)
    Issue (Month): 2 (February)
    Pages: 279-287

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    Handle: RePEc:spr:sochwe:v:42:y:2014:i:2:p:279-287

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    1. M.Utku Unver, 2006. "Kidney Exchange with Good Samaritan Donors: A Characterization," Working Papers 255, University of Pittsburgh, Department of Economics, revised Jan 2006.
    2. Lars Ehlers & Bettina Klaus, 2003. "Resource-Monotonicity for House Allocation Problems," UFAE and IAE Working Papers 566.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    3. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
    4. 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.
    5. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    6. Onur Kesten, 2009. "Coalitional strategy-proofness and resource monotonicity for house allocation problems," International Journal of Game Theory, Springer, vol. 38(1), pages 17-21, March.
    7. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer, vol. 23(1), pages 75-83.
    8. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
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