Game Theory and Partial Differential Equations

DOI10.1515/9783110621792zbMath1430.91001OpenAlexW2963153497MaRDI QIDQ5377976

Julio D. Rossi, Pablo Blanc

Publication date: 11 June 2019

Full work available at URL: https://doi.org/10.1515/9783110621792

zbMATH Keywords

maximal operatorsLaplacianpartial differential equationsHessian matrixtug-of-war gamesgames for elliptic problems

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Dynamic programming (90C39) Stochastic games, stochastic differential games (91A15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance (91-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (13)

Hölder gradient regularity for the inhomogeneous normalized \(p(x)\)-Laplace equation ⋮ Asymptotic mean value formulas for parabolic nonlinear equations ⋮ A Nonlinear Mean Value Property for Monge-Amp\`ere ⋮ Asymptotic mean value properties for the elliptic and parabolic double phase equations ⋮ Asymptotic \(C^{1,\gamma}\)-regularity for value functions to uniformly elliptic dynamic programming principles ⋮ A game theoretical approximation for a parabolic/elliptic system with different operators ⋮ Game-theoretic approach to Hölder regularity for PDEs involving eigenvalues of the Hessian ⋮ A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations ⋮ Games associated with products of eigenvalues of the Hessian ⋮ A game theoretical approach for a nonlinear system driven by elliptic operators ⋮ The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes ⋮ Convergence of the naturalp-means for thep-Laplacian ⋮ Local regularity estimates for general discrete dynamic programming equations

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