Uniform Tauberian theorem in differential games

DOI10.1134/S0005117916040172zbMath1349.91050MaRDI QIDQ2833688

Dmitry Khlopin

Publication date: 21 November 2016

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mgta154

zbMATH Keywords

Tauberian theoremdynamic programming principleCesaro meansAbel meansdifferential game with zero sum

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Dynamic programming (90C39)

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Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space ⋮ Tauberian theorem for value functions ⋮ Tauberian theorems for general iterations of operators: applications to zero-sum stochastic games ⋮ A uniform Tauberian theorem in dynamic games ⋮ A singular perturbation problem for mean field games of acceleration: application to mean field games of control ⋮ Ergodic behavior of control and mean field games problems depending on acceleration ⋮ On Tauberian theorem for stationary Nash equilibria ⋮ On the solution of a differential game of managing the investments in an advertising campaign ⋮ Asymptotics of values in dynamic games on large intervals ⋮ Tauberian theorem for games with unbounded running cost

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