在1738年，丹尼尔试图用微积分来解决一个概率论和赌博理论里的问题，无意间却发现了货币的边际效用递减法则的概念。

In 1738, Daniel, trying to solve a problem in probability theory and the theory of gambling by use of the calculus, stumbled on the concept of the law of diminishing marginal utility of money.

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这条曲线的确切形状还有待讨论,但是边际效用递减规律的重点在于,你得到的钱越多,每额外的一美元的增长效用会相对减小

The exact shape of the curve is subject to discussion, but the point of diminishing marginal utility is that, as you get more and more money, the increment in utility for each extra dollar diminishes.

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这个函数表示公园的效用以递减的幅度随公园面积的增加而增加，同时随参观人数的增加而减少。 这个函数说明了为什么要公共建设公园。

This functional form builds in the property that larger parks provide more value at a diminishing rate, but there is an effect from congestion.

youdao

The exact shape of the curve is subject to discussion, but the point of diminishing marginal utility is that, as you get more and more money, the increment in utility for each extra dollar diminishes.

这条曲线的确切形状还有待讨论,但是边际效用递减规律的重点在于,你得到的钱越多,每额外的一美元的增长效用会相对减小

耶鲁公开课 - 金融市场课程节选