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Axioms for Deferred Acceptance

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  • Fuhito Kojima
  • Mihai Manea
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    Abstract

    The deferred acceptance algorithm is often used to allocate indivisible objects when monetary transfers are not allowed. We provide two characterizations of agent-proposing deferred acceptance allocation rules. Two new axioms-individually rational monotonicity and weak Maskin monotonicity-are essential to our analysis. An allocation rule is the agent-proposing deferred acceptance rule for some acceptant substitutable priority if and only if it satisfies non-wastefulness and individually rational monotonicity. An alternative characterization is in terms of non-wastefulness, population monotonicity, and weak Maskin monotonicity. We also offer an axiomatization of the deferred acceptance rule generated by an exogenously specified priority structure. We apply our results to characterize efficient deferred acceptance rules. Copyright 2010 The Econometric Society.

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    Bibliographic Info

    Article provided by Econometric Society in its journal Econometrica.

    Volume (Year): 78 (2010)
    Issue (Month): 2 (03)
    Pages: 633-653

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    Handle: RePEc:ecm:emetrp:v:78:y:2010:i:2:p:633-653

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    Cited by:
    1. Kumano, Taro, 2013. "Strategy-proofness and stability of the Boston mechanism: An almost impossibility result," Journal of Public Economics, Elsevier, vol. 105(C), pages 23-29.
    2. EHLERS, Lars & KLAUS, Bettina, 2012. "Strategy-Proofness makes the Difference: Deferred-Acceptance with Responsive Priorities," Cahiers de recherche 2012-12, Universite de Montreal, Departement de sciences economiques.
    3. Thayer Morrill, 2013. "An alternative characterization of top trading cycles," Economic Theory, Springer, vol. 54(1), pages 181-197, September.
    4. Klijn, Flip, 2011. "On the consistency of deferred acceptance when priorities are acceptant substitutable," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 101-103, September.
    5. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    6. Lars Ehlers & Bettina Klaus, 2013. "House Allocation via Deferred-Acceptance," Cahiers de recherche 06-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    7. Thayer Morrill, 2013. "An alternative characterization of the deferred acceptance algorithm," International Journal of Game Theory, Springer, vol. 42(1), pages 19-28, February.

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