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Mean-Field Games for Marriage
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematical Statistics.ORCID iD: 0000-0002-6608-0715
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2014 (English)In: PLoS ONE, ISSN 1932-6203, Vol. 9, no 5, e94933- p.Article in journal (Refereed) Published
Abstract [en]

This article examines mean-field games for marriage. The results support the argument that optimizing the long-term wellbeing through effort and social feeling state distribution (mean-field) will help to stabilize marriage. However, if the cost of effort is very high, the couple fluctuates in a bad feeling state or the marriage breaks down. We then examine the influence of society on a couple using mean-field sentimental games. We show that, in mean-field equilibrium, the optimal effort is always higher than the one-shot optimal effort. We illustrate numerically the influence of the couple's network on their feeling states and their well-being.

Place, publisher, year, edition, pages
2014. Vol. 9, no 5, e94933- p.
Keyword [en]
cohabitation, control system, divorce, emotion, feedback system, marriage, mathematical model, social welfare, wellbeing
National Category
Other Mathematics
URN: urn:nbn:se:kth:diva-147045DOI: 10.1371/journal.pone.0094933ISI: 000335728900015ScopusID: 2-s2.0-84900523224OAI: diva2:728346

QC 20140624

Available from: 2014-06-24 Created: 2014-06-23 Last updated: 2014-06-24Bibliographically approved

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Djehiche, Boualem
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