There is a collection of papers trying to explain stable marriage as an economic function (as a complex mental process).
They propose: a stable marriage can be predicted using mainly Gale_Shapley algorithm, General Equilibrium Theory and Non_cooperative Game Theory.
The Gale-Shapley algorithm is not good enough to solve the stable marriage problem because is based on initial preferences (attraction, fantasies, infatuation) and does not take into account temporal patterns of relationship variables.
* "What Makes You Click? – Mate Preferences in Online Dating" (2010)
* "Matching and Sorting in Online Dating" (2010)
* "Marriage and Online Mate-Search Services: Evidence From South Korea" (2009)
* "What Makes You Click? — Mate Preferences and Matching Outcomes in Online Dating" (2006)
* "Matching and Sorting in Online Dating" (2008)
* "Who Marries Whom and Why"
* "Lifecycle marriage matching: Theory and evidence"
* "What matchings can be stable? The refutability of matching theory"
* "Equilibrium matching with ageing and uncertain careers: who marries whom and when?"
Gale_Shapley algorithm, General Equilibrium Theory and Non_cooperative Game Theory do not take into account temporal patterns of romantic relationship development nor personality traits. Nor the new discovery uncovered by Eastwick and Finkel 2008; also Kurzban and Weeden, 2007; Todd, Penke, Fasolo, and Lenton, 2007 who found that people often report partner preferences that are not compatible with their choices in real life. Marital stability does not include marital satisfaction. A marriage can be stable but miserable. Latest Research in Theories of Romantic Relationships Development outlines: compatibility is all about a high level on personality similarity between prospective mates for long term mating with commitment.
From the paper "Matching and Sorting in Online Dating" (2010)
"In Hitsch et al. (2010), we discuss and present evidence that shows sorting patterns in short- and long-term relationships are similar, which suggests mate preferences do not substantially differ across short- and long-term relationships."
(FLAWED) Researchers should read
1) "Human oestrus" Gangestad & Thornhill (2008)
"Only short-term but not long-term partner preferences tend to vary with the menstrual cycle"
2) "Does the contraceptive pill alter mate choice in humans?" Alvergne & Lummaa (2009)
".. whereas normally cycling women express a preference for MHC (Major Histocompatibility Complex) dissimilarity in mates, pill users prefer odours of MHC-SIMILAR men, indicating that pill use might eliminate adaptive preferences for genetic dissimilarity." ................ "Recently, Roberts et al. attempted to eliminate these potential confounds by adopting a within-subject design in which women's mate preferences were assessed before and after they began taking the pill. Women starting the pill showed a significant preference shift towards MHC SIMILARITY compared with three months before the pill was taken, a shift that was not observed in the control group of normally cycling women."