A converse comparison theorem for backward stochastic differential equations with jumps

TL;DR

This paper proves a converse comparison theorem for a class of backward stochastic differential equations with jumps, enhancing understanding of their solution behaviors under different conditions.

Contribution

It introduces a novel converse comparison theorem specifically for backward stochastic differential equations with jumps, expanding theoretical knowledge in stochastic analysis.

Findings

Established a converse comparison theorem for BSDEs with jumps

Provided conditions under which the theorem holds

Enhanced theoretical framework for stochastic differential equations

Abstract

This paper establishes a converse comparison theorem for real-valued decoupled forward backward stochastic differential equations with jumps.