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Explore the mathematical foundations of monopolistic pricing strategies through this 34-minute conference talk that examines the monopolist's free boundary problem in the plane and its connection to the economic value of private information. Delve into advanced concepts from optimal transport theory as applied to economic modeling, where the speaker demonstrates how mathematical techniques can illuminate the strategic behavior of monopolists when consumers possess private information about their preferences. Learn about the geometric and analytical aspects of free boundary problems that arise when a monopolist designs optimal pricing mechanisms, and discover how these mathematical frameworks provide insights into information economics. Gain understanding of the intersection between partial differential equations, optimal transport theory, and microeconomic theory through rigorous mathematical analysis presented by a leading expert in the field.
