Mean-field games for marriage

Bauso, Dario; Dia, Ben Mansour; Djehiche, Boualem; Tembine, Hamidou; Tempone, Raul

Mean-field games for marriage

Files

Article-PLoS_ONE-Mean-field-2014.pdf (4.37 MB)

License

http://creativecommons.org/licenses/by/4.0/

Type

Article

Authors

Bauso, Dario
Dia, Ben Mansour
Djehiche, Boualem
Tembine, Hamidou
Tempone, Raul

KAUST Department

Applied Mathematics and Computational Science Program
Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Stochastic Numerics Research Group

Preprint Posting Date

2014-04-13

Date

2014-05-07

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. © 2014 Bauso et al.

Citation

Bauso D, Dia BM, Djehiche B, Tembine H, Tempone R (2014) Mean-Field Games for Marriage. PLoS ONE 9: e94933. doi:10.1371/journal.pone.0094933.