DeGroot and AI: The Mathematics of Risk and Decision Theory

This article examines the impact of Morris DeGroot's statistical decision theory on contemporary risk management in the age of artificial intelligence. The author argues that the global economy is a system of betting on the future, in which mathematical concepts such as sample space, Bayesian risk, and prior distribution become precise tools for central banks and corporations. The text demonstrates how formal definitions of statistical experimentation translate into real-world market actions, from bond issuance to AI model implementation. It also highlights the aporia between mathematical rationality and everyday management practice, emphasizing the importance of a rigorous logical framework in describing the complexity of the modern world and optimizing decisions under conditions of uncertainty.