It seems to have been often studied by Economists in the area of game theory. This very nice book is by two of them:

http://www.amazon.com/Two-Sided-Matching-Game-Theoretic-Econ...

To be fair, it is also studied by computer scientists, as in the other main book on the stable marriage:

http://www.amazon.com/The-Stable-Marriage-Problem-Foundation...

Roth wrote quite a nice book about stable matchings:

http://www.amazon.com/Two-Sided-Matching-Game-Theoretic-Econ...

It is readable if you're interested in the problem. This book on the same subject is also good, although not by any Nobel prize winners:

http://www.amazon.com/Stable-Marriage-Problem-Algorithms-Fou...