The speculation modeling of stock & future trade market price fluctuation is that the manifold given space reconstruct and time sequence is dealt with in modern finance market trade data, such as price, volume, time sections etc; that the nonlinear operator following price fluctuation is constructed in the high dimensional phase space reconstructed; at the same time, that nonlinear random difference equation is fitted; that martingale method and fixed point theory are used; that it is randomly approached wave function extremum dx/dt=0, namely the correspond low or high point of stock or future price fluctuation; that buy and sale are optimized; finally that one finally becomes the minority winner in games by means of learning evolution. On the method it has the characteristic as weather forecast the same numerical analysis, as earthquake prediction the same physical principle, as trajectory missile the same dead reckoning. It can step the price fluctuation peak and valley to randomly adapting with time evolvement in market wave move and evolvement, comes true “low buy and high sale”. We cordially raise the client and stratagem investment or speculation institution with more 1million China dollar.

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