Martingale Representation Theorem for the G-expectation

نویسندگان

  • H. Mete Soner
  • Nizar Touzi
  • Jianfeng Zhang
چکیده

This paper considers the nonlinear theory of G-martingales as introduced by Peng in [16, 17]. A martingale representation theorem for this theory is proved by using the techniques and the results established in [20] for the second order stochastic target problems and the second order backward stochastic differential equations. In particular, this representation provides a hedging strategy in a market with an uncertain volatility.

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تاریخ انتشار 2010