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Matching with Quorums

Author

Listed:
  • Daniel Monte

    (Department of Economics and Business, Aarhus University, Denmark)

  • Norovsambuu Tumennasan

    (Department of Economics and Business, Aarhus University, Denmark)

Abstract

We study the problem of allocating workers to different projects in which each project requires having a minimum number of workers assigned to it or else it does not open. We show that the well-known serial dictatorship mechanism is neither strategy-proof nor Pareto efficient. Thus, we propose an algorithm, denoted as the serial dictatorship with project closures, which is strategy-proof and also Pareto efficient over the set of all feasible allocations.

Suggested Citation

  • Daniel Monte & Norovsambuu Tumennasan, 2012. "Matching with Quorums," Economics Working Papers 2012-10, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:aarhec:2012-10
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    References listed on IDEAS

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    1. Lars Ehlers & Bettina Klaus, 2003. "Coalitional strategy-proof and resource-monotonic solutions for multiple assignment problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 265-280, October.
    2. Manea, Mihai, 2007. "Serial dictatorship and Pareto optimality," Games and Economic Behavior, Elsevier, vol. 61(2), pages 316-330, November.
    3. Szilvia Pápai, 2001. "Strategyproof and Nonbossy Multiple Assignments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(3), pages 257-271, July.
    4. John Hatfield, 2009. "Strategy-proof, efficient, and nonbossy quota allocations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 505-515, September.
    5. 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.
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    8. 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.
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    12. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Cechlárová, Katarína & Fleiner, Tamás, 2017. "Pareto optimal matchings with lower quotas," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 3-10.
    2. Klijn Flip, 2019. "Constrained Allocation of Projects to Heterogeneous Workers with Preferences over Peers," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-9, January.
    3. Marek Bojko, 2020. "The Probabilistic Serial and Random Priority Mechanisms with Minimum Quotas," Papers 2012.11028, arXiv.org.
    4. Andreas Darmann & Janosch Döcker & Britta Dorn & Sebastian Schneckenburger, 2022. "Simplified group activity selection with group size constraints," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 169-212, March.
    5. Ashwin Arulselvan & Agnes Cseh & Martin Groß & David F. Manlove & Jannik Matuschke, 2017. "Matchings with lower quotas: Algorithms and complexity," CERS-IE WORKING PAPERS 1724, Institute of Economics, Centre for Economic and Regional Studies.
    6. Katarina Cechlarova & Bettina Klaus & David F.Manlove, 2018. "Pareto optimal matchings of students to courses in the presence of prerequisites," Cahiers de Recherches Economiques du Département d'économie 16.04, Université de Lausanne, Faculté des HEC, Département d’économie.
    7. Madhav Raghavan, 2017. "Serial Priority in Project Allocation: A Characterisation," Cahiers de Recherches Economiques du Département d'économie 17.17, Université de Lausanne, Faculté des HEC, Département d’économie.
    8. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    9. Goto, Masahiro & Iwasaki, Atsushi & Kawasaki, Yujiro & Yasuda, Yosuke & Yokoo, Makoto, 2014. "Improving Fairness and Efficiency in Matching with Distributional Constraints: An Alternative Solution for the Japanese Medical Residency Match," MPRA Paper 53409, University Library of Munich, Germany.

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    More about this item

    Keywords

    matching; stability; efficiency; serial dictatorship;
    All these keywords.

    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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