Benefits of marriage as a search strategy

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Davi B. Costa, Benefits of marriage as a search strategy

arXiv:2108.04885v2

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Hi Davi

Thanks for your very interesting article and the arXiv paper. Have you read the Australian mathematician Hannah Fry’s book called “The Mathematics of Love”? She also did a TED talk based on her research in this area. She has two gender specific equations for estimating whether certain people are compatible.

Regards
Michael Kelly

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Hi Michael

Thank you very much for your comment. I didn’t know her work. I’m going to watch the TED talk and read her book. As a start, I’ve just taken a look at chapter 7, “When Should You Settle Down?”, which is more related to my work. It seems to me that she uses the “Secretary problem” (Secretary problem - Wikipedia) to model the problem. As I mention in the introduction of the arXiv paper, I believe this fails to take externalities into account. The other chapters don’t seem to be directly related to the problem I am dealing with. But, perhaps, it would be interesting to try to address the problems from these other chapters using the framework of my model.

Regards Davi

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Dr. James Murray is a distinguished person in mathematical biology, and he developed “difference” equations for marital conflict.

  1. The Mathematics of Marriage: Dynamic Nonlinear Models
    By John M. Gottman, James D. Murray, Catherine C. Swanson, Rebecca Tyson, Kristin R. Swanson
    DOI: https://doi.org/10.7551/mitpress/4499.001.0001

  2. https://www.johngottman.net/wp-content/uploads/2011/05/The-Mathematics-of-Marital-Conflict-Dynamic-Mathematical-Nonlinear-Modeling-of-Newlywed-Marital-Interaction.pdf

Dr. S.H. Strogatz wrote the first idea of how to model the love relationship between Romeo and Juliet and many updated models were published afterwords.

I developed two dynamic models (differential equations) and show the similar structure among (1) mass-spring-damper model, (2) Romeo and Juliet love affair model, and (3) marital Interaction model.

  1. https://community.wolfram.com/groups/-/m/t/2714442
  2. https://community.wolfram.com/groups/-/m/t/2674653

Sangdon

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