Bauso Dario, Dia Ben Mansour, Djehiche Boualem, Tembine Hamidou, Tempone Raul
Dipartimento di Ingegneria Chimica, Gestionale, Informatica, Meccanica, Palermo, Italy.
SRI Center for Uncertainty Quantification in Computational Science and Engineering, King Abdullah University of Science and Technology, Thuwal, Kingdom of Saudi Arabia.
PLoS One. 2014 May 7;9(5):e94933. doi: 10.1371/journal.pone.0094933. eCollection 2014.
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.
本文研究婚姻的平均场博弈。结果支持了这样一种观点，即通过努力和社会情感状态分布（平均场）来优化长期幸福感将有助于稳定婚姻。然而，如果努力成本非常高，夫妻双方会在不良情绪状态中波动，或者婚姻破裂。然后，我们使用平均场情感博弈来研究社会对夫妻的影响。我们表明，在平均场均衡中，最优努力总是高于一次性最优努力。我们通过数值示例说明了夫妻网络对他们的情感状态和幸福感的影响。
