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Matching with Couples: a Multidisciplinary Survey

Author

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  • Peter Biro

    (Institute of Economics - Hungarian Academy of Sciences)

  • Flip Klijn

    (Institute for Economic Analysis (CSIC), Spain)

Abstract

This survey deals with two-sided matching markets where one set of agents (workers/residents) has to be matched with another set of agents (firms/hospitals). We first give a short overview of a selection of classical results. Then, we review recent contributions to a complex and representative case of matching with complementarities, namely matching markets with couples. We discuss contributions from computer scientists, economists, and game theorists.

Suggested Citation

  • Peter Biro & Flip Klijn, 2011. "Matching with Couples: a Multidisciplinary Survey," CERS-IE WORKING PAPERS 1139, Institute of Economics, Centre for Economic and Regional Studies.
    • Handle: RePEc:has:discpr:1139
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    References listed on IDEAS

    as
    1. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
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    Citations

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    Cited by:

    1. Ata Atay & Sylvain Funck & Ana Mauleon & Vincent Vannetelbosch, 2023. "Matching markets with farsighted couples," UB School of Economics Working Papers 2023/445, University of Barcelona School of Economics.
    2. Kolos Csaba Ágoston & Péter Biró & Iain McBride, 2016. "Integer programming methods for special college admissions problems," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1371-1399, November.
    3. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    4. Delorme, Maxence & García, Sergio & Gondzio, Jacek & Kalcsics, Joerg & Manlove, David & Pettersson, William, 2021. "Stability in the hospitals/residents problem with couples and ties: Mathematical models and computational studies," Omega, Elsevier, vol. 103(C).
    5. Tello, Benjamín, 2023. "Restricted complementarity and paths to stability in matching with couples," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 60-67.
    6. Rashid Farooq & Ayesha Mahmood, 2017. "A Note on a Two-Sided Discrete-Concave Market with Possibly Bounded Salaries," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-21, September.
    7. Péter Biró & Sofya Kiselgof, 2015. "College admissions with stable score-limits," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 727-741, December.
    8. Bettina Klaus & David F. Manlove & Francesca Rossi, 2014. "Matching under Preferences," Cahiers de Recherches Economiques du Département d'économie 14.07, Université de Lausanne, Faculté des HEC, Département d’économie.
    9. Peter Biro & Tamas Fleiner & Rob Irving, 2013. "Matching Couples with Scarf's Algorithm," CERS-IE WORKING PAPERS 1330, Institute of Economics, Centre for Economic and Regional Studies.
    10. Peter Biro & Tamas Fleiner, 2012. "Fractional solutions for capacitated NTU-games, with applications to stable matchings," CERS-IE WORKING PAPERS 1234, Institute of Economics, Centre for Economic and Regional Studies.
    11. Benjamín Tello, 2023. "Restricted Complementarity and Paths to Stability in Matching with Couples," CEMLA Working Paper Series 02/2023, CEMLA.
    12. Katarína Cechlárová & Tamás Fleiner & David Manlove & Iain McBride & Eva Potpinková, 2015. "Modelling practical placement of trainee teachers to schools," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 547-562, September.
    13. Thanh Nguyen & Rakesh Vohra, 2014. "Near Feasible Stable Matchings with Complementarities," PIER Working Paper Archive 14-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    14. Ágnes Cseh & Brian C. Dean, 2016. "Improved algorithmic results for unsplittable stable allocation problems," Journal of Combinatorial Optimization, Springer, vol. 32(3), pages 657-671, October.

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    More about this item

    Keywords

    matching; couples; stability; computational complexity; incentive compatibility; restricted domains; large markets;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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