A society is fairer when the income of the family into which individuals are born, over which they have no control, plays a smaller role in determining their prospects. We examine the nature of dynamic fairness based on the distribution of prospects using a generalized concentration curve. We find that dynamic fairness is jointly determined by inequality and exchange mobility, with inequality reducing fairness and exchange mobility enhancing it. Moreover, any degree of dynamic fairness can be obtained from one of the many pairs of inequality and exchange mobility. Our results can help compare different economic environments through the distribution of their economic opportunities.

中文翻译：

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动态公平：流动性、不平等和前景分布*

当个人所出生的家庭的收入（他们无法控制）在决定他们的前景时所起的作用较小时，社会就会更加公平。我们使用广义集中曲线检查基于前景分布的动态公平的性质。我们发现动态公平是由不平等和交换流动性共同决定的，不平等会降低公平性，而交换流动性会增强公平性。此外，任何程度的动态公平都可以从许多对不平等和交换流动性中的一对中获得。我们的结果可以通过经济机会的分布来帮助比较不同的经济环境。