Found in 3 comments on Hacker News
cschmidt · 2016-02-25 · Original thread
It seems to have been often studied by Economists in the area of game theory. This very nice book is by two of them:

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

cschmidt · 2013-04-28 · Original thread
Oh, fun! This is sometimes called an envy free division. A nice book on this topic is

Fair Division: From Cake-Cutting to Dispute Resolution

Stable matchings are a related problem (sometimes called the stable marriage problem), where you want to match men and women to "marry", such that no two couples would want to swap partners. It is applied in real life to matching medical interns to hospital placements. One of my all time favorite technical books* is on this subject:

Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis

(* yes, that may make me weird)

cschmidt · 2012-10-15 · Original thread
Roth wrote quite a nice book about stable matchings:

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:

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