So what we're going to look at is the expected payoff of Up versus, let me call it a : a being equally likely that my opponent chooses Left and Right.

所以接下来我们看看在我认为对手,选择左右的可能性相同下的预期收益,我们把它称为

耶鲁公开课 - 博弈论课程节选

So one way to think about it is, is the expected distance from her of the winning candidates, is: with probability of a half it's herself so that's nothing, No distance, and with probability of a half it's two places away.

所以一种考虑的方法是,预期她与获胜者的距离是,由于她有一半获胜的机会所以没有成本,没有距离,且,距她两个位置远的人有另一半获胜的机会

耶鲁公开课 - 博弈论课程节选

So here's the straight line, and this line is the expected payoff to Player I from choosing Down as it depends on the probability that the other person chooses Right, and then once again, we can write down the equation.

这就是第三条直线了,它表示参与人I选择下获得的收益,是另一个参与人,选右概率的一个函数,对于这一条直线,我们依然能够给出方程式

耶鲁公开课 - 博弈论课程节选