So this line represents the expected payoff of shooting to the middle as a function of the probability that the goal keeper dives to the right.

这条线表示从中路射门时罚球者的收益,是门将扑向右路概率的一个函数

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And here's my green line representing my expected payoff as the shooter, from shooting to the right, as a function of the probability that the goalie dives to the right.

这条绿线表示作为一个罚球球员,我从右路射门的收益,是门将扑向右路概率的一个函数

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There are three ways, the goal--the attacker could kick the ball.

罚球队员可以选择三种不同射门路径

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Good, so one thing that's clearly missing here is I'm ignoring that in fact right footed players find it easier to shoot to their left, which is actually the goalie's right.

很好,我们忽略了这一点,我们忽视了实际上惯用右脚的球员,从左路射门会更容易些,罚球球员的左路就是门将的右路

耶鲁公开课 - 博弈论课程节选

So in reality, we need to take into account a little bit more, and in particular, we need to take into account the abilities of players to hit the ball accurately and/or hard.

所以分析实际情况时要深思熟虑,比如说,我们需要把罚球队员的,射门力度跟精准度考虑在内

耶鲁公开课 - 博弈论课程节选