Besides being extremely useful to those who are interested in design and analysis techniques related to algorithms and complexity issues related to the matching of agents to one another when preferences are involved, involved readers can also benefit from the easy way it presents various ideas and approaches to problem solutions. It is written in a highly scientific language and it is extraordinarily beneficial reading for post-docs and researchers in mathematics and in game theory that focus on algorithms for solving matching problems and also study applications involving such problems. --Zentralblatt MATH
The author describes the structural ideas behind the algorithms, avoiding technical proofs. This guided tour is so interesting that the novice will want to explore things on his own, is invited to do so by the open questions at the end of each section. The long time it took to write this book was well spent. It deserves the attention of every reader interested in the field. --Mathematical Reviews Clippings
From the Inside Flap
Matching problems with preferences are all around us: they arise when agents seek to be allocated to one another on the basis of ranked preferences over potential outcomes. Efficient algorithms are needed for producing matchings that optimise the satisfaction of the agents according to their preference lists.
In recent years there has been a sharp increase in the study of algorithmic aspects of matching problems with preferences, partly reflecting the growing number of applications of these problems worldwide. The importance of the research area was recognised in 2012 through the award of the Nobel Prize in Economic Sciences to Alvin Roth and Lloyd Shapley.
This book describes the most important results in this area, providing a timely update to The Stable Marriage Problem: Structure and Algorithms (D Gusfield and R W Irving, MIT Press, 1989) in connection with stable matching problems, whilst also broadening the scope to include matching problems with preferences under a range of alternative optimality criteria.
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