Switching problems with controlled randomisation and associated obliquely reflected BSDEs
hal.structure.identifier | Laboratoire de Mathématiques et Modélisation d'Evry [LaMME] | |
dc.contributor.author | BÉNÉZET, Cyril | |
hal.structure.identifier | Laboratoire de Probabilités, Statistique et Modélisation [LPSM (UMR_8001)] | |
dc.contributor.author | CHASSAGNEUX, Jean-François | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | RICHOU, Adrien | |
dc.date.accessioned | 2024-04-04T02:43:26Z | |
dc.date.available | 2024-04-04T02:43:26Z | |
dc.date.issued | 2022-02 | |
dc.identifier.issn | 0304-4149 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191336 | |
dc.description.abstractEn | We introduce and study a new class of optimal switching problems, namely switching problem with controlled randomisation, where some extra-randomness impacts the choice of switching modes and associated costs. We show that the optimal value of the switching problem is related to a new class of multidimensional obliquely reflected BSDEs. These BSDEs allow as well to construct an optimal strategy and thus to solve completely the initial problem. The other main contribution of our work is to prove new existence and uniqueness results for these obliquely reflected BSDEs. This is achieved by a careful study of the domain of reflection and the construction of an appropriate oblique reflection operator in order to invoke results from Jean-François Chassagneux and Adrien Richou (2020). | |
dc.language.iso | en | |
dc.publisher | Elsevier | |
dc.subject.en | Optimal switching with uncertainty | |
dc.subject.en | Backward stochastic differential equations | |
dc.subject.en | Oblique reflections | |
dc.subject.en | Enlargement of filtrations | |
dc.title.en | Switching problems with controlled randomisation and associated obliquely reflected BSDEs | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1016/j.spa.2021.10.010 | |
dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
bordeaux.journal | Stochastic Processes and their Applications | |
bordeaux.page | Pages 23-71 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 144 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-02463626 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02463626v1 | |
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