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.Comment: 22 figures. Accepted and to appear in PLoS On