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How to measure the average rate of change?

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  • Alekseev, Aleksandr
  • Sokolov, Mikhail V.

Abstract

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.

Suggested Citation

  • Alekseev, Aleksandr & Sokolov, Mikhail V., 2021. "How to measure the average rate of change?," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 43-59.
    • Handle: RePEc:eee:matsoc:v:113:y:2021:i:c:p:43-59
    DOI: 10.1016/j.mathsocsci.2021.04.002
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    More about this item

    Keywords

    Average rate of change; Time preference; Discount rate; Path-dependence;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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