Would you believe that a paper was written in 2002 explaining mathematically (using calculus) a model of successful or unsuccessful marriages. Written by John Gottman, Catherine Swanson and Kristin Swanson from Department of Psychology University of Washington, it makes interesting reading if you love (as I do) to use new methods to solve old problems. The link to the paper and the lead paragraph (in italics) follow:
This article describes a new mathematical approach for modeling the prediction of divorce or marital stability from marital interaction using nonlinear difference equations. The approach is quite general for modeling social interaction, and can be applied to any time series data generated over time for two individuals. We pursued a balance model in selecting the dependent variables of this modeling. Both the mathematical methods and the theoretical gains obtained when using this approach are reviewed
Interested in reading the entire article? Then go to
http://www.philos.rug.nl/~daan/symposium/articles/gottman_swanson_swanson.pdf
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