基于区间数大小不能直接判定的灰矩阵博弈的策略优超及其最优解研究

对于区间灰数大小不能直接判定的灰矩阵博弈G(?)={S₁,S₂,A(?)}问题,其策略优超和纯策略求解问题的关键在于A(?)中区间灰数大小判定准则的设定与判定方法的设计。本文运用灰色系统思想和系统工程的理论,揭示了人们在灰信息条件下的博弈心理与博弈决策规则,根据区间灰数势关系的判定规则,提出了灰数势意义下的策略优超法则,定义了纯策略解。最后,以商业银行贷款动态损失准备金计提为案例,对其灰势意义下的策略优超和纯策略解问题进行了研究。

Study on Strategy Dominance and Pure Strategies Solution of Grey Matrix Game Based on Interval Grey Number Not to Be Determined Directly

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.