Particle systems for mean reflected BSDEs with jumps

2024/04/02 by Yiqing Lin, Kun Xu, Lin, Yiqing +1
Engineering · Economics, Econometrics and Finance · #Fluid Dynamics and Turbulent Flows #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2404.01916

Abstract

In this paper, we study the mean reflected backward stochastic differential equations with jump (BSDEJs). We extend the work of Briand and Hibon on the propagation of chaos for mean reflected BSDEs \citebriand2021particles to the jump framework. Besides, we study the reflections for the particle system and obtain the rate of of convergence of the particle system towards the deterministic flat solution to the mean reflected BSDEJ.

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