Propagation of chaos for mean-field reflected BSDEs with jumps
In this paper, we study a class of mean-field reflected backward stochastic differential equations (MF-RBSDEs) driven by a marked point process and also analyze MF-RBSDEs driven by a Poisson process . Based on a g -expectation representation lemma, we establish the existence and uniqueness of the particle system of MF-RBSDEs driven by a marked point process under Lipschitz generator conditions and obtain a convergence result of this system. In the Poisson setting, we obtain furthermore the convergence rate of the corresponding particle system toward the solution to the MF-RBSDEs driven by a Poisson process under bounded terminals and bounded obstacle conditions.
Authors
- Yiqing Lin (ORCID: https://orcid.org/0009-0008-2129-0533)
- Kun Xu
Institutions
- Shanghai Jiao Tong University (CN)
Publication Details
- Journal
- Statistics & Probability Letters
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1016/j.spl.2025.110382
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Tian Yuan Mathematical Foundation