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Mean-Field Games for Marriage

Author

Listed:
  • Dario Bauso
  • Ben Mansour Dia
  • Boualem Djehiche
  • Hamidou Tembine
  • Raul Tempone

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.

Suggested Citation

  • Dario Bauso & Ben Mansour Dia & Boualem Djehiche & Hamidou Tembine & Raul Tempone, 2014. "Mean-Field Games for Marriage," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-15, May.
    • Handle: RePEc:plo:pone00:0094933
    DOI: 10.1371/journal.pone.0094933
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    References listed on IDEAS

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    1. José-Manuel Rey, 2010. "A Mathematical Model of Sentimental Dynamics Accounting for Marital Dissolution," PLOS ONE, Public Library of Science, vol. 5(3), pages 1-8, March.
    2. Boualem Djehiche & Hamidou Tembine & Raul Tempone, 2014. "A Stochastic Maximum Principle for Risk-Sensitive Mean-Field Type Control," Papers 1404.1441, arXiv.org.
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    Cited by:

    1. Mouhamadou Samsidy Goudiaby & Ben Mansour Dia & Mamadou L. Diagne & Hamidou Tembine, 2021. "Cooperative Game for Fish Harvesting and Pollution Control," Games, MDPI, vol. 12(3), pages 1-21, August.

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