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Explore mean field game theory applied to spatial economic dynamics through this 31-minute research seminar presented by Mohamed Bahlali from Aix-Marseille School of Economics. Discover how forward-looking agents make work and migration decisions in a continuous space-time framework within a two-dimensional geography while facing idiosyncratic shocks. Learn about the mathematical foundations including existence and uniqueness proofs for static trade equilibrium, followed by existence proofs for dynamic equilibria. Examine how equilibrium wages and prices depend on agent distribution and adjust according to underlying trade models that follow static gravity model frameworks. Analyze the application of this theoretical framework to a circular geography model to understand the fundamental forces driving economic agglomeration and dispersion in dynamic settings. Gain insights into the intersection of game theory, spatial economics, and mathematical modeling through this collaborative research with Raouf Boucekkine and Quentin Petit.
