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ADDITIVE‐RATIO MEASURES OF INTERACTMTY IN INPUT‐OUTPUT SYSTEMS
Author(s) -
Asami Yasushi,
Smith Tony E.
Publication year - 1995
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/j.1467-9787.1995.tb01401.x
Subject(s) - axiom , variety (cybernetics) , interactivity , class (philosophy) , axiomatic system , computer science , econometrics , mathematical economics , mathematics , artificial intelligence , multimedia , geometry
. 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.