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THE SEERS MODIFIED INPUT‐OUTPUT TABLE: SOME PROJECTION TECHNIQUES
Author(s) -
Frank Charles R.
Publication year - 1967
Publication title -
review of income and wealth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.024
H-Index - 57
eISSN - 1475-4991
pISSN - 0034-6586
DOI - 10.1111/j.1475-4991.1967.tb00743.x
Subject(s) - table (database) , input/output , diagonal , computation , projection (relational algebra) , set (abstract data type) , matrix (chemical analysis) , consistency (knowledge bases) , block (permutation group theory) , computer science , mathematics , mathematical optimization , mathematical economics , algorithm , discrete mathematics , combinatorics , geometry , materials science , composite material , data mining , programming language , operating system
Dudley Seers and his colleagues in working with various less developed economies have proposed a modified version of an input‐output table for making projections and tests of consistency in planning. The table includes only the important inter‐sectoral flows. By making a simplifying assumption with regard to the non‐included inter‐sectoral flows, an algebraic formulation of the modified input‐output table is possible. The resulting matrix of input‐output coefficients and final demands can be transformed into a Leontief input‐output matrix which is block triangular and composed of two‐blocks, one of which is diagonal. Given a set of final demands it is very easy to solve for the total output of each of the sectors. The amount of computation involved is directly related to the number of intersectoral flows included in the original modified input‐output table.