ADDITIVE‐RATIO MEASURES OF INTERACTMTY IN INPUT‐OUTPUT SYSTEMS
为分析经济活动系统(如工业部门)之间的交互性,建立了一个公理框架,重点研究加性比率测度,并证明其可由四个交互性公理刻画,同时比较了多种替代测度。
ABSTRACT. A general axiomatic framework is developed for analyzing alternative measures of interactivity between the sectors of a given activity system (such as the industrial sectors of an economy). Within this overall framework, we analyze an ordinal class of additive‐ratio measures which has been applied to a wide variety of systems, including both economic and ecological systems of activities. Our main result is to show that such measures can be characterized by four interactivity axioms. In addition, a wide variety of alternative measures are compared to additive‐ratio measures in terms of this axiom system.