Introduction to Random Tug-of-War Games and PDEs

DOI10.1007/978-3-642-27145-8_3zbMath1247.91020OpenAlexW150665006MaRDI QIDQ2904895

Juan J. Manfredi

Publication date: 24 August 2012

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-27145-8_3

zbMATH Keywords

random tug-of-war games

Mathematics Subject Classification ID

2-person games (91A05) Stochastic games, stochastic differential games (91A15) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Viscosity supersolutions of the evolutionary \(p\)-Laplace equation.
• Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
• Biased tug-of-war, the biased infinity Laplacian, and comparison with exponential cones
• The \(\infty\)-eigenvalue problem
• Gap series constructions for the \(p\)-Laplacian
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
• On the definition and properties of $p$-harmonious functions
• Tug-of-war and the infinity Laplacian
• Dynamic Programming Principle for tug-of-war games with noise
• Another way to say harmonic
• A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations
• p-Harmonic Functions in the Plane
• Note on a remarkable superposition for a nonlinear equation

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