This paper contributes to the theory of average rate of change (ARC) measurement. We use an axiomatic approach to generalize the conventional ARC measures (such as the difference quotient and the continuously compounded growth rate) in several directions: to outcome variables with arbitrary connected domains, to not necessarily time-shift invariant dependence on time, to more general (than an interval) time sets, to a path-dependent setting, and to a benchmark-based evaluation. We also revisit and generalize the relationship between the ARC measurement and intertemporal choice models.

中文翻译：

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如何衡量平均变化率？

本文为平均变化率（ARC）测量理论做出了贡献。我们使用公理化方法在多个方向上概括常规ARC度量（例如差商和连续复合增长率）：对具有任意连接域的结果变量，不一定是对时间的时移不变依赖性，在更一般的情况下， （大于间隔）时间设置，与路径相关的设置以及基于基准的评估。我们还回顾并概括了ARC度量与跨期选择模型之间的关系。