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Explore a 33-minute lecture on stable matching using optimal transport, presented by Federico Echenique from UC Berkeley at the Simons Institute. Delve into a model of matching with aligned preferences, emphasizing the impact of supply and demand imbalances in matching markets. Examine applications such as organ donor exchange and matching markets with transferable utility where bargaining occurs post-match. Discover the connections between stability, fairness, and optimal transport in these markets. Investigate special cases that provide additional results and insights into this fascinating area of online and matching-based market design.