  In this paper, we define a new total order on R^N and use this order together
with backward stochastic viability property(for short BSVP) to study the
property of the generator of backward stochastic differential equation(for
short BSDE) when the price of contingent claim can be represented by a BSDE in
the no-arbitrage financial market. The main result is the necessary and
sufficient condition for comparison theorem of multidimensional BSDEs under
this order.
