Abstract: On the basis of reference,the paper further discusses the model of multidimensional static Bertrand game with incomplete information about two kinds of product with certain substitutive relationship between two enterprises and its multidimensional Bayesian equilibrium,then obtains the result that Bayesian equilibrium strategies in which two enterprises independently participate in game for every kind of product are inferior to Bayesian equilibrium strategies in which each enterprise considers two kinds of product joiutly to participate in the two-dimensional game.

Key words: multidimensional, substitutive relationship, information, Bayesian equilibrium