摘要
In this paper, we first study a property about the generator g of Backward Stochastic Differential Equation (BSDE) when the price of contingent claims can be represented by a multidimensional BSDE in the no-arbitrage financial market. Furthermore, motivated by the behavior of agents in finance market, we introduce a new total order q on Rn and obtain a necessary and sufficient condition for comparison theorem of multidimensional BSDEs under this order. We also give some further results for q
In this paper, we first study a property about the generator g of Backward Stochastic Differential Equation (BSDE) when the price of contingent claims can be represented by a multidimensional BSDE in the no-arbitrage financial market. Furthermore, motivated by the behavior of agents in finance market, we introduce a new total order q on Rn and obtain a necessary and sufficient condition for comparison theorem of multidimensional BSDEs under this order. We also give some further results for q
基金
Supported partly by the National Science Foundation of China(Grant No.11231005)
the China Postdoctoral Science Foundation(Grant No.2013M541899)
the Natural Science Foundation of Shandong Province of China(Grant No.ZR2013AQ021)