Optimizing the marriage market: An application of the linear assignment model |
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Authors: | Nguyen Vi Cao,Emmanuel Fragniè re,Jacques-Antoine Gauthier,Marlè ne Sapin,Eric D. Widmer |
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Affiliation: | 1. Haute Ecole de Gestion de Genève, 7, rte de Drize, 1227 Carouge, Switzerland;2. Université de Lausanne, Institut des trajectoires biographiques/Centre, PaVie Bâtiment Provence, 1015 Lausanne, Switzerland;3. Université de Genève, Département de sociologie, Uni Mail, 40, Bd. Pont-d’Arve, 1211 Genève 4, Switzerland;4. Swiss Foundation for Research in Social Sciences, c/o Université de Lausanne, Bâtiment Vidy, 1015 Lausanne, Switzerland;5. Université de Lausanne, Centre de recherche Méthodologie, inégalités et changement social (MISC), Bâtiment de Vidy, 1015 Lausanne, Switzerland;6. University of Bath, School of Management, BA2 7AY, UK |
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Abstract: | Research shows that the success of marriages and other intimate partnerships depends on objective attributes such as differences in age, cultural background, and educational level. This article proposes a mathematical approach to optimizing marriage by allocating spouses in such a way as to reduce the likelihood of divorce or separation. To produce our optimization model, we use the assumption of a central “agency” that would coordinate the matching of couples. Based on a representative and longitudinal sample of 1074 cohabiting and married couples living in Switzerland, we estimate various objective functions corresponding to age, education, ethnicity, and prior divorce concerning every possible combination of men and women. Our results show that the current state of marriages or partnerships is well below the social optimum. We reallocate approximately 68% of individuals (7 out of 10) to a new couple that we posit has a higher likelihood of survival. From this selection of new partners, we obtain our final “optimal” solutions, with a 21% reduction in the objective function. |
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Keywords: | Couples matching Divorce Linear assignment model Marriage market OR in societal problem analysis |
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