期刊名称:Discussion Papers / School of Business, University of New South Wales
出版年度:2009
卷号:2009
出版社:Sydney
摘要:We provide an axiomatic foundation for efficiency measurement in the full hinput,
outputi space, referred to as “graph efficiency” measurement by F¨are, Grosskopf, and
Lovell [1985]. We posit four types of axioms: indication, monotonicity, independence of
units of measurement, and continuity. We analyze six well-known inefficiency indexes
from the operations-research and economics literature and discuss several other related
indexes.
We present two impossibility results demonstrating that no index can satisfy all of
the axioms on a general class of (well-behaved) technologies. Specifically, no inefficiency
index can satisfy both indication and continuity (in either quantities or technologies), and
no inefficiency index can satisfy both monotonicity and unit independence. We present
a full evaluation of the trade-offs involved in selecting among the indexes.