This study aims to clarify the structure of sports games in order to analyze soccer games. In this paper, we paid our attention to “gymnos agon (bodily movement competitions)” of ancient Greece that are the origin of sports, and particularly considered “agon (competition)” which is the basis of the meaning of this word.
We focused on the structure of “competition” as “play” to clarify the concept of “competition” that is the basis for the meaning of “bodily movement competition”. By doing so we were able to formulate the function of this structure by the following comparative function.
On a condition of r, AG = cf(a,b) = a›b, a=b, a‹b
(where, r : rule, AG : agon, cf : comparative function, a : contestant, b : opponent, › : win, = : draw, ‹ : loss)
In this paper, we put various functions that convert all bodily movement of contestants into the numerical formula in the above function of competition, using the concept of “nested functions (to put a function in another function)”, for the consideration of “bodily movement related to competition” that is our future topic of this study. We were able to connect the function of competition with “bodily elements” of sport structure that Tomihiko Sato had presented.
Since the bodily movement of sport is prescribed by the above function of competition, it is not very effective to consider the bodily movement regardless of the “competition” by taking out the bodily movement from the sport. Our future topic is to consider the concept of “bodily movement” that is an attribute of “bodily movement competitions”, and the last aim of this study is to clarify the entirety of “bodily movement competitions (sports)” on the basis of the results considered in this paper.
