以色列经济学家阿扎尔醉心于扑点球这件事。阿扎尔和他的研究小组通过计算发现,如果一个守门员守在中路不动,扑住点球的概率为33.3%,扑向左右两侧的概率分别只有14.2%和12.6%。研究小组分析了在现实中这些守门员的行为:门将老老实实守在中路的情况只有6.3%。不过,阿扎尔也指出,守在中间的策略并非绝对,如果门将总是呆在中路,点球手们就会毫不迟疑地改变他们的战术和靶心。 Israeli economist Azar is obsessed with the ball. Adjar and his team found that if a goalkeeper is on the road, the probability of a penalty shootout is 33.3% and the odds of throwing it to the left and right are only 14.2% and 12.6% respectively. The team analyzed the behavior of these goalkeepers in reality: the goalkeeper was honestly in the middle of the road only 6.3%. However, Azar also pointed out that the strategy of keeping the middle is not absolute, if the goalkeeper always stay in the middle, the penalty players will not hesitate to change their tactics and bullseye.