On the continuity of optimal stopping surfaces for jump-diffusions

Fuente: arXiv
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Autores principales: Cai, Cheng, De Angelis, Tiziano, Palczewski, Jan
Formato: Preprint
Publicado: 2021
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author Cai, Cheng
De Angelis, Tiziano
Palczewski, Jan
author_facet Cai, Cheng
De Angelis, Tiziano
Palczewski, Jan
contents We show that optimal stopping surfaces $(t,y)\mapsto x_*(t,y)$ arising from time-inhomogeneous optimal stopping problems on two-dimensional jump-diffusions $(X,Y)$ are continuous (jointly in time and space) under mild monotonicity and regularity assumptions of local nature.
format Preprint
id arxiv_https___arxiv_org_abs_2109_10810
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle On the continuity of optimal stopping surfaces for jump-diffusions
Cai, Cheng
De Angelis, Tiziano
Palczewski, Jan
Probability
Optimization and Control
60G40, 35R35, 60J60, 60J76
We show that optimal stopping surfaces $(t,y)\mapsto x_*(t,y)$ arising from time-inhomogeneous optimal stopping problems on two-dimensional jump-diffusions $(X,Y)$ are continuous (jointly in time and space) under mild monotonicity and regularity assumptions of local nature.
title On the continuity of optimal stopping surfaces for jump-diffusions
topic Probability
Optimization and Control
60G40, 35R35, 60J60, 60J76
url https://arxiv.org/abs/2109.10810