Using information about technologies, markets and firm behaviour to decompose a proper productivity index
利用技术、市场与企业行为信息分解满足公理的生产率指数
This paper uses distance functions to define new output and input quantity indexes that satisfy important axioms from index number theory (e.g., identity, transitivity, proportionality and time-space reversal). Dividing the output index by the input index yields a new productivity index that can be decomposed into a measure of technical change, a measure of environmental change, and several measures of efficiency change. A problem with this new index is that it cannot be…