Game Theory and Partial Differential Equations (De Gruyter Series in Nonlinear Analysis and Applications)
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Extending the well-known connection between classical linear potential theory and probability theory (through the interplay between harmonic functions and martingales) to the nonlinear case of tug-of-war games and their related partial differential Cover De Gruyter Series in Nonlinear Analysis and Applications Game Theory and Partial Differential Equations © 2019 Dedication Preface Acknowledgment Contents 1 Random walks and the Laplacian 2 A first glimpse of the Tug-of-War g 3 Tug-of-War with noise 4 Tug-of-War 5 Mixed boundary conditions and the obstacle problem 6 Maximal operators 7 Games for eigenvalues of the Hessian 8 Parabolic problems 9 Free boundary problems A. Viscosity solutions B. Probability theory Bibliography Notations Index
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