It shows the standard deviation of the return on the portfolio as a function of the expected return on the portfolio.

它是投资组合的收益标准差,关于预期收益率的函数图像。

耶鲁公开课 - 金融市场课程节选

This is a discontinuous payoff function, so differentiating isn't going to get you very far.

这是一个不连续的收益函数,所以不会涉及太多微分的东西

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选

So here's Player I's payoff as a function of what Player II chooses and what Player I chooses, so we have that already.

这个就是参与人I的收益的方程,它是参与人I和II策略的函数,我们已经得到了

耶鲁公开课 - 博弈论课程节选

Find player I's payoff is a function of what player II's effort is.

参与人I的收益是参与人II付出的函数

耶鲁公开课 - 博弈论课程节选

We have Player I's payoff as a function of the two efforts and now I want to find out what is Player I's best efforts given a particular choice of S2? Yeah.

参与人I的收益是两人付出的函数,那么对于某个给定的S2,怎么计算参与人I的最佳对策呢

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