Multiple Directions for Measuring Biased Technical Change
Multiple Directions for Measuring Biased Technical Change
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DOI：
10.2139/ssrn.4103709
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发表时间：
2015-11
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影响因子：
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通讯作者：
Hideyuki Mizobuchi
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作者：
Hideyuki Mizobuchi
Malmquist和Hicks-Moorsteen生产率指数是衡量生产率增长的两个最广泛使用的指数。第一种方法是将生产率增长分解为两个重要的来源：效率变化和技术变化。技术变更组件被认为是测量沿单个方向沿着的等量线之间的距离。当技术变化不是希克斯中性的，而是偏向于某些因素的投入或产出时，等量线之间的距离取决于所选择的方向。在这种情况下，如果我们采用单一方向来测量距离，我们只能局部地捕捉技术变化，而技术变化本质上是一种全球现象。为了纠正这个问题，我们提出了一个更具全球性的技术变化指数，通过利用两个方向来衡量等量线之间的距离。沿着现有的效率变化衡量标准，这使我们能够定义一个相应的生产率指数。这个指数是Malmquist和Hicks-Moorsteen生产率指数在规模报酬不变的情况下的几何平均值。虽然有一个长期的讨论，这两个指数之间的指数是更可取的，我们给出了一个理由，使用这两个指数的几何平均数。
Malmquist and Hicks−Moorsteen productivity indexes are the two most widely used indexes for measuring productivity growth. The former, which has been proposed initially, has a nice feature of decomposing productivity growth into two important sources: efficiency change and technical change components. The technical change component is considered measuring the distances between the isoquants along a single direction. When technical change is not Hicks-neutral and is biased towards certain factor inputs or outputs, the distance between the isoquants is dependent on the direction selected. In this case, if we adopt a single direction for measuring the distances, we can only locally capture technical change, which is a global phenomenon by nature. To rectify this problem, we propose a more global index of technical change that measures the distance between the isoquants by utilizing two directions. Along with the existing measure of efficiency change, this allows us to define a corresponding productivity index. This index turns out to be the geometric mean of the Malmquist and the Hicks-Moorsteen productivity indexes under constant returns to scale technology. While there has been a long discussion on which index is more preferable between the two productivity indexes, we give a justification to using the geometric mean of these two indexes.