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arXiv · 1404.3389

Mean-Field Games for Marriage

Dario Bauso·Ben Mansour Dia·Boualem Djehiche·Hamidou Tembine·Raul Tempone
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Abstract

This article examines mean-field games for marriage. The results support the argument that optimizing the long-term well-being 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.

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Dario Bauso, Ben Mansour Dia, Boualem Djehiche, Hamidou Tembine, Raul Tempone. 2014-04-13. Mean-Field Games for Marriage. https://doi.org/10.1371/journal.pone.0094933

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