Introduction -- Study of the grey matrix game model based on pure strategy -- Pure strategy solution of a grey matrix game based on an interval grey number not to be determined directly -- Grey matrix game model based on grey mixed strategy -- Study of elementary transformations of the grey matrix and the invertible grey matrix -- Matrix solution method of a grey matrix game -- Potential optimal strategy solution's venture and control problems based on the grey interval number matrix game -- Concession and damping equilibriums of duopolistic strategic output-making based on limited rationality and knowledge -- Nash equilibrium analysis model of static and dynamic games of grey pair-wise matrices -- Chain structure model of evolutionary games based on limited rationality and knowledge -- Bounded rationality grey game model of first-price sealed-bid auction -- Summary and prospect.