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Explore the intersection of game theory and resource management in this 54-minute seminar that examines how cooperation and competition dynamics affect common pool resources within mean field games frameworks. Delve into the classic tragedy of the commons problem, first introduced by Hardin in 1968, and discover how individual incentives can lead to resource overuse with detrimental consequences for all participants. Learn about Nobel laureate Elinor Ostrom's insights on mutual restraint as a preventing factor and understand why traditional mean field games inevitably lead to tragic outcomes due to their fully non-cooperative nature. Investigate innovative equilibrium concepts that blend cooperative and non-cooperative behaviors, including mixed individual mean field games and mixed population mean field games that incorporate common pool resources. Examine how the former captures altruistic tendencies at individual levels while the latter models populations mixing fully cooperative and non-cooperative individuals. Study the mathematical characterization of equilibrium using forward-backward stochastic differential equations and analyze a practical fisheries example where fish stock serves as the common pool resource. Gain insights into existence and uniqueness results while reviewing experimental findings that demonstrate real-world applications of these theoretical frameworks.
