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On the Stability of Couples

Author

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  • Tobias Hiller

    (Institute for Theoretical Economics, University of Leipzig, D-04109 Leipzig, Germany
    HR Department, TU Dresden, 01062 Dresden, Germany)

Abstract

In this article, we analyze the stability of couples on the marriage market. Recent developments in cooperative game theory allow a new model that uses team games which make it possible to model the marriage market. Coalition structures can model couples. We analyze two cases: a symmetrical one with only one type of men and one type of women; and one with several types of women and men.

Suggested Citation

  • Tobias Hiller, 2018. "On the Stability of Couples," Games, MDPI, vol. 9(3), pages 1-10, July.
    • Handle: RePEc:gam:jgames:v:9:y:2018:i:3:p:48-:d:157419
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    References listed on IDEAS

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    1. Martin Kaae Jensen & Alexandros Rigos, 2018. "Evolutionary games and matching rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 707-735, September.
    2. Roth, Alvin E. & Sotomayor, Marilda, 1988. "Interior points in the core of two-sided matching markets," Journal of Economic Theory, Elsevier, vol. 45(1), pages 85-101, June.
    3. Rochford, Sharon C., 1984. "Symmetrically pairwise-bargained allocations in an assignment market," Journal of Economic Theory, Elsevier, vol. 34(2), pages 262-281, December.
    4. Casajus, André, 2009. "Outside options, component efficiency, and stability," Games and Economic Behavior, Elsevier, vol. 65(1), pages 49-61, January.
    5. Alexandros Rigos & Heinrich H. Nax, 2015. "Assortativity evolving from social dilemmas," Discussion Papers in Economics 15/19, Division of Economics, School of Business, University of Leicester.
    6. Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    7. Tobias Hiller, 2014. "Coalition Statements and the Distribution of Power in German Government Coalitions: 1990-2009," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot GmbH, Berlin, vol. 60(3), pages 145-157.
    8. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Andersson, Tommy & Gudmundsson, Jens & Talman, Dolf & Yang, Zaifu, 2014. "A competitive partnership formation process," Games and Economic Behavior, Elsevier, vol. 86(C), pages 165-177.
    10. Benjamin R. Auer & Tobias Hiller, 2015. "On the evaluation of soccer players: a comparison of a new game-theoretical approach to classic performance measures," Applied Economics Letters, Taylor & Francis Journals, vol. 22(14), pages 1100-1107, September.
    11. Marilda Sotomayor, 2003. "Reaching the core of the marriage market through a non-revelation matching mechanism," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 241-251, December.
    12. Tobias Hiller, 2013. "The distribution of power in governing coalitions of the German Laender," Applied Economics Letters, Taylor & Francis Journals, vol. 20(12), pages 1155-1159, August.
    13. Shapley, Lloyd S & Shubik, Martin, 1969. "Pure Competition, Coalitional Power, and Fair Division," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 337-362, October.
    14. Hector Chade & Jan Eeckhout & Lones Smith, 2017. "Sorting through Search and Matching Models in Economics," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 493-544, June.
    15. Tobias Hiller, 2015. "The importance of players in teams of the German Bundesliga in the season 2012/2013 - a cooperative game theory approach," Applied Economics Letters, Taylor & Francis Journals, vol. 22(4), pages 324-329, March.
    16. Sotomayor, Marilda, 2000. "Existence of stable outcomes and the lattice property for a unified matching market," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 119-132, March.
    17. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    18. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    19. Tobias Hiller, 2018. "Excluded coalitions and the 2013 German federal election," Applied Economics Letters, Taylor & Francis Journals, vol. 25(13), pages 936-940, July.
    20. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    21. Hiller, Tobias, 2017. "Quantitative overeducation and cooperative game theory," Economics Letters, Elsevier, vol. 152(C), pages 36-40.
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