mpm calculates the multiplier product matrix using an
InputOutput object calculated from
as.inputoutput. The method is described below.
Let L be the Leontief inverse. Then the multiplier product matrix M is calculated as follows:
M = 1/v L_c L_r
where v = t(1) L 1 such that 1 is a column matrix of ones, L_c = L 1 is a column matrix of row sums, and L_r = t(1) L is a row matrix of column sums.
Multiplier Product Matrix
John J. P. Wade
Nazara, Suahasil & Guo, Dong & Hewings, Geoffrey J.D., & Dridi, Chokri, 2003. "PyIO. Input-Output Analysis with Python". REAL Discussion Paper 03-t-23. University of Illinois at Urbana-Champaign. (http://www.real.illinois.edu/d-paper/03/03-t-23.pdf)
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