Two-Sided Matching

It was written by Alvin E. Roth and Marilda Sotomayor, with a preface by Robert Aumann,[1][2] and published in 1990 by the Cambridge University Press as volume 18 in their series of Econometric Society monographs.

[3] For this work, Roth and Sotomayor won the 1990 Frederick W. Lanchester Prize of the Institute for Operations Research and the Management Sciences.

[1][4] The third part of the book concerns a different direction in which these ideas have been extended, to matching markets such as those for real estate in which indivisible goods are traded, with money used to transfer utility.

It includes results in auction theory, linear and nonlinear utility functions, and the assignment game of Lloyd Shapley and Martin Shubik.

[2] Alan Kirman calls the book a "clear and elegant account" of its material, writing that its focus on practical applications makes it "of particular interest".