60 Years of Matching: From Gale and Shapley to Trading Networks

Explore a comprehensive lecture from Harvard's Scott Kominers examining the profound impact and evolution of matching theory since Gale and Shapley's groundbreaking 1962 paper in the American Mathematical Monthly. Delve into the foundational concepts of market design, tracing how their work on college admissions and marriage stability has become one of the journal's most cited articles. Discover the beautiful and widely applicable theory of matching mechanisms, following its development from inception to modern applications. Learn how these mathematical principles have been successfully implemented in various real-world scenarios, from matching medical residents with hospitals to optimizing electricity markets. Gain insights into how this branch of market design continues to shape efficient allocation systems across diverse sectors of society.