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].