賽局理論觀點分析排球賽事、訓練及選才運用

Application for theoretical selection of the volleyball players based on game theory

紀恩成(En-Cheng Chi)

《屏東大學體育》 1期 (2015/12) Pp. 37-47

摘要

本篇論文的目的是利用賽局理論中的一種分配方法－核仁及其相關理論結果，去探討核仁與排球選材之間的關係。主要方法如下：首先，我們介紹一些賽局理論的基本數學模型，藉由此模型去引進排球訓練與比賽的相關數學模型。接下來，我們介紹一些由佩利格、索利安諾與摩利亞分別於1986、1998 年分別所提出對於核仁所衍生出的相關公設及公設化結果。最後，我們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排球賽事與訓練的數學模型。所得到的結論證明了賽局理論中的核仁及其相關結果是可以應用到排球選材上。衍生出的建議也指出賽局理論的其它分配方法或許也可以應用到排球選材。

關鍵字

核仁 ； 數學模型 ； 賽事與訓練

並列摘要

The purpose of this paper is aim to adopt some game-theoretical results of the core to investigate the relations among some results of the core and the field of the theoretical selection of the volleyball players. The main methods are as follows: First, we introduce some basic mathematical models related to game theory, and plan to extend these models to the framework of the games and the training for the volleyball players. Further, we study the core, some axioms and related axiomatizations proposed by Peleg (1986) and Serrano and Volij (1998). Finally, these axioms and related axiomatizations wll be asserted by some rules related to management in the real world. Further, we plan to extend these axioms and axiomatizations to the framework of the games and the training for the volleyball players. The conclusion of this paper shows that the core could be applied to the field of the theoretical selection of the volleyball players. The extended suggestions also point out that other game-theoretical methods may be applied to the field of the theoretical selection of the volleyball players.

並列關鍵字

the core ； mathematical models ； games and training