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A one-shot deviation principle for stability in matching problems

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  • Newton, Jonathan
  • Sawa, Ryoji

Abstract

This paper considers marriage problems, roommate problems with nonempty core, and college admissions problems with responsive preferences. All stochastically stable matchings are shown to be contained in the set of matchings which are most robust to one-shot deviation.

Suggested Citation

  • Newton, Jonathan & Sawa, Ryoji, 2013. "A one-shot deviation principle for stability in matching problems," Working Papers 2013-09, University of Sydney, School of Economics, revised Jul 2014.
  • Handle: RePEc:syd:wpaper:2123/9223
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    File URL: http://econ-wpseries.com/2013/201309-3.pdf
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    References listed on IDEAS

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    15. Heinrich H. Nax & Bary S.R. Pradelski, 2012. "Evolutionary dynamics and equitable core selection in assignment games," Economics Series Working Papers 607, University of Oxford, Department of Economics.
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    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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    Cited by:

    1. Hwang, Sung-Ha & Lim, Wooyoung & Neary, Philip & Newton, Jonathan, 2016. "Conventional Contracts, Intentional behavior and Logit Choice: Equality Without Symmetry," Working Papers 2016-13, University of Sydney, School of Economics.
    2. Newton, Jonathan & Angus, Simon D., 2015. "Coalitions, tipping points and the speed of evolution," Journal of Economic Theory, Elsevier, vol. 157(C), pages 172-187.
    3. Heinrich Nax & Bary Pradelski, 2015. "Evolutionary dynamics and equitable core selection in assignment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 903-932, November.
    4. Klaus, Bettina & Newton, Jonathan, 2016. "Stochastic stability in assignment problems," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 62-74.
    5. Nax, Heinrich H. & Pradelski, Bary S. R., 2015. "Evolutionary dynamics and equitable core selection in assignment games," LSE Research Online Documents on Economics 65428, London School of Economics and Political Science, LSE Library.
    6. Newton, Jonathan, 2017. "Shared intentions: The evolution of collaboration," Games and Economic Behavior, Elsevier, vol. 104(C), pages 517-534.
    7. Erick González & Rafael Alejandro Espín & Eduardo Fernández, 2016. "Negotiation Based on Fuzzy Logic and Knowledge Engineering: Some Case Studies," Group Decision and Negotiation, Springer, vol. 25(2), pages 373-397, March.
    8. repec:gam:jgames:v:7:y:2016:i:2:p:10:d:66888 is not listed on IDEAS
    9. Newton, Jonathan & Wait, Andrew & Angus, Simon D., 2016. "Watercooler chat, organizational structure and corporate culture," Working Papers 2016-03, University of Sydney, School of Economics.
    10. Heinrich H. Nax & Bary S. R. Pradelski, 2016. "Core Stability and Core Selection in a Decentralized Labor Matching Market," Games, MDPI, Open Access Journal, vol. 7(2), pages 1-16, March.

    More about this item

    Keywords

    Learning; stochastic stability; matching; marriage; college admission.;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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