关键词: 数量经济学, 区间灰数, 大小秩序判定, 灰矩阵博弈, 灰势, 纯策略解

Abstract: The game psychology and decisionmaking rule of the players under the condition of grey information were revealed by using the grey system ideas and the systems engineering theories. The conceptions of the superiority, inferiority and equipollence position degrees of the interval grey number were defined, and it was proved that the sum of three position degrees for a certain interval grey number related to another grey number is 1, and that the relation set of the position degrees is a whole order set of the interval grey numbers. On this basis a pure strategy solution under the condition of grey number position degree was defined and the necessary and sufficient conditions for the existence of the pure strategy solution, or the grey position saddle point were derived. Taking a coal reservoir problem for a certain unit for the heating in the winter under the condition that there was a fluctuation area of the coal prices as an example, its pure strategy as solution and venture problem were studied.

Key words: quantitative economics, interval grey number, determination of big to small order, grey matrix game, grey position, pure strategy solution