:ad* ? p [ eÞg eü«5 p [ eÞ e 3c h îgÍ. ¤ p s4{ %cy 4½4 c eÞ{·4. / b c h g ¹ eÞgÉ...

y Ā ā Ĵ ½ 4 C Ņ Þ { · 4 . / Ţ ţ Ũ ē g ć ¹ Ņ Þ G É Ĝ " ' C Ġ ´ 0 \ : A D * Ŀ Ő ś Ņ Þ G ť ü « 5 Ő ś Ņ Þ ť ą 3 C Ũ î G Í . ¤ Ő œ 4 { % C   ï² £ă Abstract A theoretical consistency between the value structure of “average social capital” (illustrated in “Capital : Volume III”, “Chapter IX and Chapter X”) and that of two departments of reproduction (illustrated in Capital : Volume II”, “Chapter XX. Simple Reproduction” and “Chapter XXI. Accumulation and Reproduction on an Extended Scale”) is examined. For comparing these two value structure, the number of circulation of each capital in reproduction is assumed to be the same i.e. 1. Furthermore, a specific capital segments all capitals into two departments of reproduction, and the ratio of the first year of reproduction is used for this comparing. The conclusion is that the Marx’s reproduction scheme is not always compatible with the spectrum of capitals including average social capital. This work does not show a general proof, but means that Marx’s numerical I. HN69 ÞĘ06ťŅÞľğ 3 µ 9 ĝ¹÷þ1Āānã ť10 ĝ Ğ_4@CVİć÷þ5Ġ¶ nã1¶ nrņŏ÷ example contains the counter example in itself, and this conclusion is con- tradictory to his own description. 再生産表式における資本分布について(2) ―  ― 83

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Page 1: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

Abstract

A theoretical consistency between the value structure of “average

social capital” (illustrated in “Capital: Volume III”, “Chapter IX and

Chapter X”) and that of two departments of reproduction (illustrated in

“Capital: Volume II”, “Chapter XX. Simple Reproduction” and “Chapter

XXI. Accumulation and Reproduction on an Extended Scale”) is

examined.

For comparing these two value structure, the number of circulation

of each capital in reproduction is assumed to be the same i.e. 1.

Furthermore, a specific capital segments all capitals into two departments

of reproduction, and the ratio of the first year of reproduction is used for

this comparing.

The conclusion is that the Marx’s reproduction scheme is not always

compatible with the spectrum of capitals including average social capital.

This work does not show a general proof, but means that Marx’s numerical

example contains the counter example in itself, and this conclusion is

contradictory to his own description.

I.

3 9 10

example contains the counter example in itself, and this conclusion is con-

tradictory to his own description.

再生産表式における資本分布について(2)

―  ―83

Page 2: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

2 20 21

[ (2014)]

2

1 2

2

c v c:v

c+v

c v

2

c v

c+v c v

徳島大学社会科学研究第28号

―  ―84

Page 3: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

2

2

1

c:v

3

2

再生産表式における資本分布について(2)

―  ―85

Page 4: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

II.

2

a +

b II

c I

d I

x 1 II

1 I 4,000c+1,000v+1,000m=6,000 II1,500c+750v+750m=3,000 Ic:Iv=4:1IIc:IIv=2:1 Ic:IIc=(8/3):1≒2.67:1 D.K.II, S.505. 7

827 6 Ic:Iv≒4:1 IIc:IIv≒2.00:1 Ic:IIc≒2.75:1D.K.II, S.508. 7 833

徳島大学社会科学研究第28号

―  ―86

Page 5: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

0 < < < < 0 < < 1 (2,1)

100 MJ

JE

I II Sp

I II

再生産表式における資本分布について(2)

―  ―87

Page 6: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

Ic IIc

Ic : Iv

IIc : IIv

(1) (4)

(1) Ic:Iv= :1

(1,1)

(2,3)

(2) IIc:IIv= :1

(2,1)

(2,4)

(3) Ic:IIc= :1

(2,1)

(2,1), (2,2)

(2,1)

(i)

(2,1),(2,2)

(2,2)

徳島大学社会科学研究第28号

―  ―88

Page 7: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(ii)

(2,1),(2,2)

(2,5)

(4) IIc=Iv+Im

(2,1)

(2,1),(2,2) ,

(2,1)

(i)

(2,1),(2,2) ,

(2,1),(2,2)

(ii)

再生産表式における資本分布について(2)

―  ―89

Page 8: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(2,1)

(2,6)

(5)

(5) (2,7)

(i) =

(2,8)

(ii) Ic+IIc

Ic+IIc

(2,9)

(iii) Iv+IIv

Iv+IIv

(2,10)

(iv) =

Im+IIm= (Iv+IIv)

(2,11)

(v) (2,7)=(2,8) (2,9),(2,10),(2,11)

徳島大学社会科学研究第28号

―  ―90

Page 9: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(2,1),(2,2)

(2,12)

(2,1)

(2,1)

(2,12) (2,1)

(6) (2,1), (2,2)

(2,3)

(2,4)

(2,5)

(2,6)

(2,12)

(2,12)

(2,3),(2,4),(2,5),(2,6)

再生産表式における資本分布について(2)

―  ―91

Page 10: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(2,3), (2,4),(2,5),(2,6)

(7) (2,3), (2,4), (2,5), (2,6)

(i) (2,3) (2,4)

(2,13)

(ii) (2,5) (2,3),(2,4)

(2,14)

(iii)(2,6) (2,3),(2,13)

(2,15)

(2,14) (2,15) (2,2)

(2,16)

(8) (2,5) (2,6)

徳島大学社会科学研究第28号

―  ―92

Page 11: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(2,13),(2,14),(2,15)

(2,17)

(9) (2,1)

(2,1)

(2,18)

(2,16),(2,17),(2,18)

2

再生産表式における資本分布について(2)

―  ―93

Page 12: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

徳島大学社会科学研究第28号

―  ―94

Page 13: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

III.

a

b

c

d

1 II

再生産表式における資本分布について(2)

―  ―95

Page 14: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

< , < , 0 < < 1 (3,1)

MJ

JE

I II Sp

I II

Ic : Iv = : 1 > 0

IIc : IIv = : 1 > 0Ic IIc = : 1 > 0

= 100 > 0

(3,2)

徳島大学社会科学研究第28号

―  ―96

Page 15: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(1) (4)

(1) Ic Iv B2N2NB1 C2B2B1C1

B2N2

C2B2 C2N2 – B2N2

(2,1)

(3,3)

(i)

(3,1),(3,2)

0

(3,4)

(ii)

(3,5)

(iii)

再生産表式における資本分布について(2)

―  ―97

Page 16: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,6)

(3,5) (3,6) (3,4)

(2) IIc IIv

(3,1)

(3,7)

(i)

(3,1),(3,2)

(3,8)

(a)

(3,9)

(b)

(3,10)

(3,9) (3,10) (3,8)

徳島大学社会科学研究第28号

―  ―98

Page 17: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3) Ic IIc B2N2NB A0N2B2

(3,1)

(3,1),(3,2)

2

(3,1),(3,2)

(3,11)

(i)

2

(3,1),(3,2)

(ii)

再生産表式における資本分布について(2)

―  ―99

Page 18: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

2

(3,1),(3,2)

(3,1),(3,2) (3,11)

(4) IIc Iv+Im +

IIc = A0N2B2 (3,12)

Iv+Im = Iv = C2B2B1C1

Iv +Im =

(3,13)

(3,12) = (3,13)

(2,14)

(3,14)

(i)

(3,1),(3,2)

(ii)

徳島大学社会科学研究第28号

―  ―100

Page 19: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,15)

(3,14)

(3,16)

(3,1),(3,2)

(a)

(3,16)

(3,1),(3,2)

(b)

(3,17)

(3,15) (3,17)

(3,1),(3,2)

(3,1),(3,2) (3,16)

(iii)

再生産表式における資本分布について(2)

―  ―101

Page 20: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,1),(3,2)

(3,18)

(3,19)

(3,20)

(3,21)

(3,22)

(a) (3,14)

(3,23)

徳島大学社会科学研究第28号

―  ―102

Page 21: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,1),(3,2) < 0 < ( )

( ) = ( )( + )+ ( + + ) < 0

(3,18),(3,19),(3,20),(3,21) ( )

( ) 0 < < 1 1

=

{ ( )} { ( )} {( )( ) ( ) }{ ( )( )}{( )( ) ( ) }

(3,24)

(b) (3,14)

( + )(1 + ) + ( ) < 0

+ + ( + + ) < 0

再生産表式における資本分布について(2)

―  ―103

Page 22: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,1),(3,2)

(3,1),(3,2)

(3,18),(3,19),(3,20),(3,21)

1

(5)

(3,26)

(3,25)

徳島大学社会科学研究第28号

―  ―104

Page 23: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,27)

Ic+IIc B2N2NB1+ A0N2B2

Iv+IIv IAB2C2 + C2B2B1C1

(3,1),(3,2)

(3,26)=(3,27) (3,1),(3,2)

(6)

(3,1),(3,2)

(1)

(3,5)

(3,6)

(3,4)

再生産表式における資本分布について(2)

―  ―105

Page 24: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(2)

(3,9)

(3,10)

(3,8)

(3)

(3,11)

(4)

(3,15)

(3,16)

(3,24)

(5) (3,1),(3,2)

徳島大学社会科学研究第28号

―  ―106

Page 25: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(7) (3,1)

(3,28)

(i) (4)

(a) (3,15)

(b) (3,16)

(c) (3,28),(3,29) (3,11)

(3.1)

(3,29)

再生産表式における資本分布について(2)

―  ―107

Page 26: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(ii) (4)

(a)

(3,28)

(b)

(3,23)

(3,25)

(3,30)

(3,1)

(3,28) (4)

(3,28)

(8)

徳島大学社会科学研究第28号

―  ―108

Page 27: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,31)

(3,31) (3,28), (3,30)

(3,32)

(9) (3,28), (3,32) (1),(2)

(i) (1) (3,5) (3,6)

3

3 >0

(3,32)

再生産表式における資本分布について(2)

―  ―109

Page 28: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(1) (2)

(3,33)

(ii) (2) (3,9) (3,10)

(1) (2)

(3,34)

(10) (3,33),(3,34)

(3,28)

(i) (3,4) (3,8)

(3,28)

(3,35)

(ii) (3,8) (3,11)

徳島大学社会科学研究第28号

―  ―110

Page 29: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,28)

(3,36)

(iii) (3,8) (3,24)

(3,28)

(3,37)

(iv) (3,33)

(3,28) (3,38)

(v) (3,34)

(3,28) (3,39)

(11) (3,32),(3,35),(3,36),(3,37),(3,38),(3,39)

(3,2)

3 1

3 1

再生産表式における資本分布について(2)

―  ―111

Page 30: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

(3,1) (3,28) (3,2)

1

c:v

c+v

(1) (5) (3,1)

(3,1)

徳島大学社会科学研究第28号

―  ―112

Page 31: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

再生産表式における資本分布について(2)

―  ―113

Page 32: :AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %Cy 4½4 C EÞ{·4. / b c h g ¹ EÞGÉ "'C ´0\:AD* ? P [ EÞG eü«5 P [ EÞ e 3C h îGÍ. ¤ P S4{ %C ï²£ Abstract A theoretical

K.(1885/1985) 2 3

7

Marx, Karl. Das Kapital: Kritik der politischen Ökonomie. Zweiter Band, Buch II: Der Cirkulationsprocess des Kapitals. Herausgegëben von Friedrich Engels. Hamburg: Verlag von Otto Meissner, 1885. Herausgegeben von Institut für Marxismus-Leninismus beim ZK der SED. Band 24 der Werke von Marx und Engels. Berlin : Diez Verlag, 1969.

(1894/1987) 3

9

Marx, Karl. Das Kapital: Kritik der politischen Ökonomie.

Dritter Band, Hamburg: Verlag von Otto Meissner,

1894. Herausgegeben von Institut für

Marxismus-Leninismus beim ZK der SED. Band 25

der Werke von Marx und Engels. Berlin : Diez

Verlag, 1976.

(2014)

徳島大学社会科学研究第28号

―  ―114