The Spacial Utility of Badminton Players in 3D Space——Games between LIN Dan and Viktor Axelsen

In this paper, we cut 3 D space into three slices (L-M-H space) , and subsequently divide it into 36 sub-space (36-space) . The data convinces us to name L-M-H space as defense space, transition space and assault spaces respectively. We found the sweet space and dessert location in badminton game. Moreover, the player's decision can be evaluated by spacial utility in L-M-H space or 36-space. This utility function considers not only winning probability but also strike effect, such as initiative holding. The experimental result shows that the lowest utility space is L-space and H-space affects the final results.