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A Theory of Marriage with Mutually Consented Divorces

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  • Ning Sun
  • Zaifu Yang

Abstract

We study a general model of marriage in which there are finitely many singles (unmarried men or women) and married couples. Singles wish to marry. Married couples can divorce and thus remarry as long as both parties will not be made worse off than they maintain the status quo. This is called mutual consent divorce. We examine the problem of how to make marriages between men and women as well as possible by allowing mutual consent divorce. We show the existence of a nonempty core of marriage matchings and also propose a finite procedure for finding a core matching. The procedure is a novel blend of modifications of two celebrated algorithms: the deferred acceptance procedure of Gale and Shapley (1962) and the top trading cycle method from Shapley and Scarf (1974).

Suggested Citation

  • Ning Sun & Zaifu Yang, 2016. "A Theory of Marriage with Mutually Consented Divorces," Discussion Papers 16/14, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:16/14
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    References listed on IDEAS

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    Cited by:

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    More about this item

    Keywords

    Marriage; core; stability; mutual consent divorce; partial commitment.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J12 - Labor and Demographic Economics - - Demographic Economics - - - Marriage; Marital Dissolution; Family Structure

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