- 期刊
夏普利值在運動管理之應用
The Application of the Shapley Value on Sports Management
摘要
數學領域中的賽局理論（game theory）常被運用在許多涉及團體互動的領域，比如經濟學、政治學、會計學、甚至是管理學等等。而在現實世界中，許多運動的賽事是同時兼顧競爭與合作的團體互動行為。因此，研究者們計畫利用了賽局理論中由夏普利於1953年所提出的夏普利值（the Shapley value）的相關結果，去探討夏普利值與運動管理領域之間的關係。首先，介紹一些賽局理論的基本數學模型，再藉由此模型去引進運動管理的數學模型。接下來，介紹一些由夏普利於1953 年所提出的夏普利值以及所衍生出的相關公設及公設化結果。最後，將這些公設以及公設化的結果以一些現實世界的管理原則予以解釋，再將相關結果拓展到運動管理的數學模型，去證明賽局理論的夏普利值是可以應用到運動管理。
並列摘要
The game theory in the field of mathematics are often applied to other fields related to coalitional behaviors, such as economics, political sciences, accounting, and even business management. In the real world, many sports games are considered as coalitional behaviors which are the combination of cooperation and. In this study, the researches adopted the results of the Shapley value proposed by Shapley in 1953 to verify the relations between the field of the sports management and the Shapley value. First, it was introduced some basic mathematical models related to game theory, and evolved a mathematical model for sports management based on these models. Further, it presented the Shapley value proposed by Shapley in 1953, its derivative axioms and axiomatizations. Finally, these axioms and axiomatizations would be asserted by some rules related to management in the real world. The outcome would be further extended to the mathematical framework of the sports management in order to prove that the Shapley value in game theory could be applied to the field of the sports management.