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Centralized allocation in multiple markets

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  • Monte, Daniel
  • Tumennasan, Norovsambuu

Abstract

We study the problem of centralized allocation of indivisible objects in multiple markets. We show that the set of allocation rules that are group strategy-proof and Pareto-efficient are sequential dictatorships. Therefore, the solution of the joint al-location in multiple markets is significantly narrower than in the single-market case. Our result also applies to dynamic allocation problems. Finally, we provide conditions under which the solution of the single-market allocation coincides with the multiple-market case, and we apply this result to the study of the school choice problem with sibling priorities.

Suggested Citation

  • Monte, Daniel & Tumennasan, Norovsambuu, 2013. "Centralized allocation in multiple markets," Textos para discussão 322, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
    • Handle: RePEc:fgv:eesptd:322
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    References listed on IDEAS

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    Cited by:

    1. Gian Caspari, 2023. "A market design solution to a multi-category housing allocation problem," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 8(1), pages 75-96, December.
    2. John Kennes & Daniel Monte & Norovsambuu Tumennasan, 2015. "Dynamic Matching Markets and the Deferred Acceptance Mechanism," Economics Working Papers 2015-23, Department of Economics and Business Economics, Aarhus University.
    3. Di Feng & Bettina Klaus, 2022. "Preference revelation games and strict cores of multiple‐type housing market problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 61-76, March.
    4. Honda, Edward, 2021. "A modified deferred acceptance algorithm for conditionally lexicographic-substitutable preferences," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    5. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    6. Di Feng & Bettina Klaus & Flip Klijn, 2022. "A Characterization of the Coordinate-Wise Top-Trading-Cycles Mechanism for Multiple-Type Housing Markets," Cahiers de Recherches Economiques du Département d'économie 22.06, Université de Lausanne, Faculté des HEC, Département d’économie.
    7. Di Feng & Bettina Klaus & Flip Klijn, 2022. "Characterizing the Typewise Top-Trading-Cycles Mechanism for Multiple-Type Housing Markets," Working Papers 1341, Barcelona School of Economics.
    8. Di Feng, 2023. "Efficiency in Multiple-Type Housing Markets," Papers 2308.14989, arXiv.org, revised Dec 2023.
    9. Yasushi Kawase & Hanna Sumita & Yu Yokoi, 2022. "Random Assignment of Indivisible Goods under Constraints," Papers 2208.07666, arXiv.org.
    10. Manjunath, Vikram & Westkamp, Alexander, 2021. "Strategy-proof exchange under trichotomous preferences," Journal of Economic Theory, Elsevier, vol. 193(C).

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I20 - Health, Education, and Welfare - - Education - - - General

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