Weight of Commercial Sector and Reproduction Scheme. Hiroshi ONISHI

1.

Weight of Commercial Sector
and
Reproduction Scheme
Hiroshi ONISHI
Keio University, JAPAN

2.

Japanese Tradition of Mathematical Marxism
Nobuo
Okishio
Michio
Morishima

3.

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

4.

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.

5.

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

6.

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

7.

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

8.

additional surplus value > cost and transferred surplus of
commercial sector
⊿c−⊿