A martingale concept for non-monotone information in a jump process framework

  title={A martingale concept for non-monotone information in a jump process framework},
  author={Marcus C. Christiansen},
  journal={arXiv: Probability},
The information dynamics in finance and insurance applications is usually modeled by a filtration. This paper looks at situations where information restrictions apply such that the information dynamics may become non-monotone. A fundamental tool for calculating and managing risks in finance and insurance are martingale representations. We present a general theory that extends classical martingale representations to non-monotone information generated by marked point processes. The central idea… 
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