Slides are available at target=_blank>http://www.fdpe./current-courses-and-workshops/mi11516.html
The main text of the course is Microeconomic Theory by Andreu Mas-Colell, Michael Whinston and Jerry Green (MWG), Oxford University Press 1995, chapters 15-19.
A good reference is Microeconomic Foundations I: Choice and Competitive Markets, by David Kreps (K), Princeton University Press 2012.
Maskin E, Roberts K. On the Fundamental Theorems of General Equilibrium. Economic Theory. 2008;35(2): 233-240.
Roth A. Misrepresentation and stability in the marriage problem. Journal of Economic Theory, 1984, 383-387.
Zhou L. Stable matchings and equilibrium outcome of the Gale-Shapley's algorithm for the marriage problem. Economics Letters, 1991, 25-29.
Chade H, Eeckhout J. and Smith L. Sorting through search and matching models in economics. Journal of Economic Literature 2017, 493-544. The beginning of the article is required, the rest is good to peruse to get the idea where further research goes.
Terviö M. The difference that CEOs make: An assignment model approach. American Economic Review 2008, 642-668. The first, theoretical, part is required reading.
Virag G. High Profit Equilibria in Directed Search Models. Games and Economic Behavior, (71/1) 2011, 224-234.