Error estimates for stochastic differential games: the adverse stopping case

Autor: Bonnans, J. Frederic, Maroso, Stefania, Zidani, Hasnaa
Přispěvatelé: Dynamic systems, optimisation and optimal command (SYDOCO), Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), INRIA
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: [Research Report] RR-5441, INRIA. 2004, pp.28
Popis: We obtain error bounds for monotone approximation schemes of a particular Isaacs equation. This is an extension of the theory for estimating errors for the Hamilton-Jacobi-Bellman equation. For obtaining upper error bound, we consider the ``Krylov regularization'' of the Isaacs equation to build an approximate sub-solution of the scheme. To get lower error bound we extend the method of Barles and Jakobsen which consists in introducing a switching system whose solutions are local super-solutions of the Isaacs equation.
Databáze: OpenAIRE