Model Perspective

Dec 17, 2025 · Fundamentals

How Matching Theory Shapes College Admissions, Residency, and Kidney Exchanges

Matching markets, where participants mutually select each other, underpin decisions from college admissions to medical residencies and kidney exchanges; the article explains their core principles, the Gale‑Shapley deferred acceptance algorithm, key theorems on stability and optimality, and real‑world applications that illustrate why honest preferences are strategically dominant.