Abstract: It is a key step in solving pure strategies of the grey matrix game G(⊗)=｛S₁,S₂,A(⊗)｝,in which the interval grey number in the A(⊗) can not be put in order directly in the light of its values,that determinant rules and methods of bigand-small order in the interval grey number are designed.Then using grey system thoghts and systems engineering theories,the paper uncovers player’s game psychology and decision-making rule under the condition of grey information,puts forward conceptions of superiority,inferior and equipollence position degree,based on the judgment rule of interval grey numbers’ position,defines position pure strategy solution,proposes position dominant strategy.And in the end,taking commercial bank dynamic provisioning as example,the pure strategies of this problem are studied.

Key words: interval grey number, grey matrix game, grey position, dominant strategy, dynamic provisioning