加權布爾多項式以及具有二值邏輯變量的隊決策問題的解

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

摘要: 本文研究了一種特殊的、但具有代表性的隊決策問題。這種問題包括有二位的邏輯變量。
文中提出了一種所謂的加權布爾多項式——它把實變量空間和邏輯變量空間聯系起來——用來做為一種對這類隊決策問題的求解方法。在討論了加權布爾多項式的若干重要性質之后,如完備性、正交性、增生與蛻化,作者提出了一種廣義支付矩陣（或稱W矩陣）的概念。并通過一個典型的例子（協同模型）來說明它的運用技巧。

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.