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Explore a 25-minute lecture on the testable implications of the core in exchange economies with unknown participant preferences. Delve into Andrew Tai's research from UC Berkeley, presented at the Simons Institute's "Online and Matching-Based Market Design" program. Examine how a revealed preferences perspective and an identifying assumption on agents' preferences enable the testing of the core. Discover the meaningful restrictions imposed by the core on allocations in exchange economies, and understand the connections between the core, competitive equilibrium, and consumer demand revealed preferences. Learn about a method for estimating utility parameters from repeated observations of exchange economies, drawing parallels to Fox's 2010 work. Gain insights into the application of necessary moment inequalities for partial identification in this economic context.