Doubly Reflected BSDEs with default time under stochastic Lipschitz coefficients and Applications

Fuente: arXiv
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Autores principales: Elmansouri, Badr, Otmani, Mohamed El
Formato: Preprint
Publicado: 2025
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author Elmansouri, Badr
Otmani, Mohamed El
author_facet Elmansouri, Badr
Otmani, Mohamed El
contents We formulate a notion of doubly reflected BSDEs with a default time and two completely separated RCLL barriers. We demonstrate the existence and uniqueness of the solution. Within the defaultable setup, we introduce a type of generalized Dynkin game, we characterize the common value of the game via the solution of the doubly reflected BSDEs and we show the existence of a saddle point.
format Preprint
id arxiv_https___arxiv_org_abs_2507_05834
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Doubly Reflected BSDEs with default time under stochastic Lipschitz coefficients and Applications
Elmansouri, Badr
Otmani, Mohamed El
Probability
60H05, 60H10, 60H15, 34F05, 35R60, 60H30
We formulate a notion of doubly reflected BSDEs with a default time and two completely separated RCLL barriers. We demonstrate the existence and uniqueness of the solution. Within the defaultable setup, we introduce a type of generalized Dynkin game, we characterize the common value of the game via the solution of the doubly reflected BSDEs and we show the existence of a saddle point.
title Doubly Reflected BSDEs with default time under stochastic Lipschitz coefficients and Applications
topic Probability
60H05, 60H10, 60H15, 34F05, 35R60, 60H30
url https://arxiv.org/abs/2507.05834