  In this paper, we examine matching models with imperfectly transferable
utility (ITU). We provide motivating examples, discuss the theoretical
foundations of ITU matching models and present methods for estimating them. We
also explore connected topics and provide an overview of the related
literature. This paper has been submitted as a draft chapter for the Handbook
of the Economics of Matching, edited by Che, Chiappori and Salani\'e.
