Weight of Commercial Sector and Reproduction Scheme. Hiroshi ONISHI презентация

Japanese Tradition of Mathematical Marxism
Nobuo
Okishio
Michio Morishima

Reproduction Scheme with Commercial Sector
W1=c1+v1+m1
W2=c2+v2+m2
Wc=cc+vc+mc
In this case,
total supply = demand of the means of production
c1+v1+m1=c1+c2+cc
⇒ v1+m1=c2+cc
total supply = demand of the means of consumption
c2+v2+m2=v1+m1+v2+m2+vc+mc
⇒ c2=v1+m1+vc+mc

commercial sector is not productive
substituting the above 2nd equation for the 1st equation leads
v1+m1=c2+cc=v1+m1+vc+mc+cc
⇒
0= cc+vc+mc= Wc
It means commercial sector is not productive at all.

In the case of Extended Reproduction Scheme
W1=c1+v1+m1(c)+m1(v)+m1(k)
W2=c2+v2+m2(c)+m2(v)+m2(k)
Wc=cc+vc+mc(c)+mc(v)+mc(k)
In this case, also
Wc=cc+vc+mc(c)+mc(v)+mc(k)=0

period of production and period of circulation
means of production
G → W< ・・・(production)・・・ W’ → G’
labor force
|←circulation→|← period of production →|←circulation→|
|← period of production →|← period of circulation →|
simplify
invest
Get money

Role of the Commercial Capital
⊿p ⊿c
|← period of production →|← period of circulation →|
⊿p ⊿c’
|← period of production →|←circulation→|←production・・・
Additional surplus value =

Ratio of (Cc+Vc)/(Cp+Vp)

Ratio of Wc/(W1+W2)

Iterative Method of Transformation
from Value to Price of Production
W1=c1+v1+m1
W2=c2+v2+m2

transform 3 equation system in the same way
(W1*+W2*=W1+W2)

Implications of the that equation system