Lecture Slides (pptx version available to instructors upon request).
Homework (solutions available to instructors upon request).
References:
Stable Marriage Assignment for Unequal Sets. McVitie and Wilson, 1970. (The first paper to establish a version of the result now known as the Rural Hospital Theorem.)
The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory. Roth, 1984. (Describes the process by which the NRMP was established.)
On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets. Roth, 1986. (Proves a slightly stronger version of the Rural Hospital Theorem.)
Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions. Roth and Xing, 1994. (Discusses the timing and centralization of matching processes in a variety of markets.) []