本論文運用賽局理論（Game Theory)的觀念，描述兩競爭者之間，錯綜複雜的競 爭關係；以及運用效用理論（Utility Theory)做爲競爭者決定競爭策略的依據。依據以 上兩個理論，以建立線性議價模型（Linear Bargaining Model )，並且利用單一策略（pure strategy )均衡或混合策略（mixed strategy)均衡求取議價解，以及決定最佳競爭策略。 此外，本論文所建立的線性議價模型乃是修正Nash議價模型而成。依據本模型，Nash 議價模型將成爲本模型之特例。換言之，本硏究推廣Nash議價模型，使之限制條件減少，運用範圍更廣。

This paper uses the concept of Game Theory to explain the complex competitive relationship between two players, and Utility Theory to be a criterion of strategy that players make. By this these theories, we can constract a Linear Bargaining Model, find optimal bargaining solution by equilibrium of pure strategy or mixed strategy, and make the best competitive strategy at the same time. In addition, the Linear Bargaining Model in this paper comes from Nash Bargaining Model and refine it. In this model, the Nash Bargaining Solution will be a special case. In other words, this paper reduces constraints placed on and generalizes the Nash Bargaining Model.