A marriage can be stable, but miserable.

Gale-Shapley marriage problem does not take into account marital satisfaction.
https://www.ft.com/content/2a0c3f9a-b240-11e7-a398-73d59db9e399
Please remember: Gale-Shapley marriage problem is a HOAX. 
It does not take into account personality similarity between prospective mates.

http://onlinedatingsoundbarrier.blogspot.com.ar/2017/04/coffeemeetsbagel-dating-apps-and-gale.html
http://onlinedatingsoundbarrier.blogspot.com.ar/2017/10/about-article-and-paper-evidence-that.html

FAILED and BIASED article "Mathematician reveals formula to find a perfect mate"
http://onlinedatingsoundbarrier.blogspot.com.ar/2015/03/failed-and-biased-article-mathematician.html

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Compatibility is all about a high level on personality similarity between prospective mates for long term mating with commitment, and not meet other people with similar interests or political views.

At the paper  "Perceptions of Ideal and Former Partners' Personality and Similarity" 
The authors had written
".... mismatches in personality are a frequently mentioned cause for relationship break-up. If former partners indeed have dissimilar personalities, our findings underline how difficult it is for many people to select a mate with a similar personality, or, alternatively, how little value individuals put on finding a similar partner in terms of personality.
The present study's results, as well as the results found in previous studies (e.g., Eastwick & Finkel, 2008), may be used to educate people, especially singles, about what really matters in long-term relationships, for instance, similarity in personality, instead of complementarity."

The Online Dating Industry does not need a 10% improvement, a 50% improvement or a 100% improvement. It does need "a 100 times better improvement" 
Online Dating sites have very big databases, in the range of 20,000,000 (twenty million) profiles, so the Big Five model or the HEXACO model are not enough for predictive purposes. That is why I suggest the 16PF5 test instead and another method to calculate similarity.

High precision in matching algorithms is precisely the key to open the door and leave the infancy of compatibility testing.
Without offering the NORMATIVE 16PF5 (or similar test measuring exactly the 16 personality factors) for serious dating, it will be impossible to innovate and revolutionize the Online Dating Industry. 
  
The 8 tips to innovate in the Online Dating Industry!
http://onlinedatingsoundbarrier.blogspot.com.ar/2013/12/the-8-tips-to-innovate-in-online-dating.html