论文标题

$λ$ - 返回缩放和个人最小外推原则

$Λ$-Returns to Scale and Individual Minimum Extrapolation Principle

论文作者

Boussemart, Jean-Philippe, Briec, Walter, Parvulescu, Raluca, Ravelojaona, Paola

论文摘要

本文提议通过考虑每个观察到的公司的个人回报,通过$λ$ - 返回以扩展假设的概念来估算生产集的回报。沿着这条线,将全球技术构建为所有个人技术的交集。因此,提出了一个公理基础,以提出$λ$ - 返回的概念。回报到尺度的新表征涵盖了$α$ - 返回的定义,作为一种特殊情况,以及标准的非进攻和非淘汰的返回型号。提出了基于拟合方法的好处的非参数程序来评估这些单独的回报到规模。为了说明$λ$ - 返回以扩展假设的概念,根据涉及63个行业构成整个美国经济的数据集提供了经验说明。

This paper proposes to estimate the returns-to-scale of production sets by considering the individual return of each observed firm through the notion of $Λ$-returns to scale assumption. Along this line, the global technology is then constructed as the intersection of all the individual technologies. Hence, an axiomatic foundation is proposed to present the notion of $Λ$-returns to scale. This new characterization of the returns-to-scale encompasses the definition of $α$-returns to scale, as a special case as well as the standard non-increasing and non-decreasing returns-to-scale models. A non-parametric procedure based upon the goodness of fit approach is proposed to assess these individual returns-to-scale. To illustrate this notion of $Λ$-returns to scale assumption, an empirical illustration is provided based upon a dataset involving 63 industries constituting the whole American economy over the period 1987-2018.

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