Nonlinear Analysis Seminar and Differential Equation Seminar: Jameson Graber, Baylor University, The Master Equation in Mean Field Game Theory
Nonlinear Analysis Seminar and Differential Equation Seminar: Jameson Graber, Baylor University, The Master Equation in Mean Field Game Theory
Mean field game theory was developed to analyze Nash games with large numbers of players in the continuum limit. The master equation, which can be seen as the limit of an N-player Nash system of PDEs, is a nonlinear PDE equation over time, space, and measure variables that formally gives the Nash equilibrium for a given…