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

Institutions

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

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Propagation of chaos for mean-field reflected BSDEs with jumps

Yiqing Lin, Kun Xu
Statistics & Probability Letters
Stochastic processes and financial applications
article

Propagation of chaos for mean-field reflected BSDEs with jumps

Yiqing Lin, Kun Xu
article en

Abstract

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.

Statistics & Probability LettersVol. 221
Shanghai Jiao Tong University (CN)
National Natural Science Foundation of China, Tian Yuan Mathematical Foundation
Openalex Percentile: Top 96%
Stochastic processes and financial applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Propagation of chaos for mean-field reflected BSDEs with jumps — Yiqing Lin, Kun Xu · Statistics & Probability Letters (2025) | TGRS Research Map | TGRS