加权布尔多项式以及具有二值邏辑变量的队决策问题的解

Weighted Boolean Polynomial Expression and the Solution of Team Decision Problem with Binary Logical Variables

摘要: 本文研究了一种特殊的、但具有代表性的队决策问题。这种问题包括有二位的逻辑变量。
文中提出了一种所谓的加权布尔多项式——它把实变量空间和逻辑变量空间联系起来——用来做为一种对这类队决策问题的求解方法。在讨论了加权布尔多项式的若干重要性质之后,如完备性、正交性、增生与蜕化,作者提出了一种广义支付矩阵（或称W矩阵）的概念。并通过一个典型的例子（协同模型）来说明它的运用技巧。

Abstract: A special but representative sort of Team Problem involving binary logical variables has been studied in this Paper
The so called Weighted Boolean Polynomial Expression(WBPE), which links real variable space with logical variable space, was proposed as a short approach to the solution of this sort of Team problem. After having discussed many important properties of WBPE, such as Completeness,Orthogonality,Generation and Degenration, the author developed a concept of General Payoff Matrix, or W-matrix, and demon strated its skill through a typical example given by prof.Y.C.Ho ⁵.