It seems to have been often studied by Economists in the area of game theory.  This very nice book is by two of them:<p><a href="http:&#x2F;&#x2F;www.amazon.com&#x2F;Two-Sided-Matching-Game-Theoretic-Econometric-Monographs&#x2F;dp&#x2F;0521437881" rel="nofollow">http:&#x2F;&#x2F;www.amazon.com&#x2F;Two-Sided-Matching-Game-Theoretic-Econ...</a><p>To be fair, it is also studied by computer scientists, as in the other main book on the stable marriage:<p><a href="http:&#x2F;&#x2F;www.amazon.com&#x2F;The-Stable-Marriage-Problem-Foundations&#x2F;dp&#x2F;0262515520" rel="nofollow">http:&#x2F;&#x2F;www.amazon.com&#x2F;The-Stable-Marriage-Problem-Foundation...</a>