Takashi Yagi

八木 尚志

Kwansei Gakuin University Repository

????????????Some Interpretationsof the Sra®a System??????? ?This paper discusses three issues in the Sra®a system: an interpretationof the prices and the wage measured in terms of labour, the relationshipbetween wage fund theory and the Sra®a system, and the reproductionprocess of the Sra®a system. On the ¯rst issue, we will compare thecondition of standard in our Sra±an model with the condition of goldas standard which appears in Pasinetti (1977). By introducing a notionof value of labour (vL), we will interpret the prices of the Reductionequation of the Sra®a system as the prices measured in terms of labourand explain two di®erent notions of labour commanded in the Sra®asystem. On the second issue, we de¯ned the rate of pro¯t to the wage,in addition to the rate of pro¯t to the produced means of production(Yagi (2016)). Then we formulated the same equation of the generalprice level as the price equation of the wage fund theory by transformingthe Sra®a system into an aggregate model. Finally, we will discuss thereproduction process of the Sra®a system. When the rate of pro¯t ispositive, the purchasing power of the net product measured in termsof labour exceeds the actual total labour. On the contrary, the actualtotal labour is kept constant through time in the Sra®a system. Togive a consistent explanation of these requirements, we can consider thecase that there is no investment and the pro¯t is expended only onthe consumption of commodities when the rate of pro¯t is positive.Yagi Takashi?? JEL?B12, B24, B51Keywords?Sra®a, value, distribution, reproduction1. ????2017????????????????????????????? 200???????????????????????????????????| 25 |?????? 71 ?? 1 ?????????????????????????????????????????????????????????????2000??Yagi?2007??????????????????????Sra®a?1960???? 1??????????????????????????????????????????????????????? 3???????????? 1????????????????????????????????????????????????????????????????????????????????????????????????????????????????Sra®a?1960????????????2??????????????????????? 2???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 3???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????2. 2???????????????????????????????????????????????????????????????????????????????????????????????????????????| 26 |?????????????????????????????????????????????Sra®a?1960??????????????????????????????????????????????????????????????????????????????????????????????? 1???????????????????????????????????????????????????????????????????????? 1???????????????????1????????????????1?????????????????Pasinetti?1977?, Tosato?1985???Pasinetti?1977??????????????????????????????????? G??????????? LG ??????????G = ®LG (1)??????????????? pG ????????????????????? pG ? pG = 1??????????????????????®pG = 1 (2)?????????????????? 1??????????????? 1????????????Pasinetti?1977??? 18?????????????????????????????????????(2)???(1)??????????????????????2010???GpG = LG (3)???????????????????????????????????????????????????????????????????????????????????(2)??????????????????????????1?????????????? vL ?????? vL ?????(1)?????? (2)?????(G=LG)pG = vL (4)????vL ????????? 1???????????????????vL ? 1?????| 27 |?????? 71 ?? 1 ?vL = 1 (5)??????????????????(5)??????????????????(2)???????????????????????????????????(3)??????????????????????????? vL?????(5)??????????? pG=vL ????????????????????????? (4)??GpG = vLLG (6)????????????????????????????????????????????????? (6)???????????????????????????????????????????????????????????????????????????Sra®a?1960??? 1???????????????????????????????????????????????????????????????????????????????? n?????????????????? n?????????????????? x???????????? lA????????? LA ???????? x? lA ????????x > 0?lA > 0????????????????????????LA = xlA (7)????????? 1?????? vL ?????????????????????????????????????????? s??????????? pA ?????????????????????????????????????spA = vLxlA (8)????????????????? (8)??????????????????Yagi?2012??2016???????????????? (8)????????????? (6)?????????(8)?????????????????????????????????????????????????| 28 |??????????????????????????????????????????????????????????????????????????????????????????????A??????????? lA ??????????????????? pA??????? wA ???????? rK ?????????????????pA = (1 + rK)ApA + wAlA (9)?????????????? rK ????????????????? R??????? rK ???????? 0 · rK < R????(9)?? (8)??????????????????????????????(8)(9)????????????? (n+ 1)???????? (pA, vL, rK , wA)? (n+ 3)????????????????????????? 1????????????????1)?(8)(9)????????????? rK ? 0 · rK < R??????vL = 1, spA = xlA, rK = R(1¡ wA) (10)1) ?????? Sra®a?1960?? 10 ???????? 1 ?????????????????????????lS = (1=xlA)lA?????????LS = xlS = 1?????????????? lS ??????????????????? pS??????? wS ?????????????????????????pS = (1 + rK)ApS + wSlS?????????spS = 1, rK = R(1¡ wA)???????????? (11)(12) ?????????????psp = pA=spS wS = wA=spS????????????????????????????????| 29 |?????? 71 ?? 1 ????????? vL = 1??????pv = pA=vL = (1¡ rK=R)[ I¡ (1 + rK)A]¡1lA (11)????????I?????????(11)?? pv ??????????????????????????????????????????????????Sra®a?1960?? 6????? vL = 1????????!v = wA=vL = 1¡ rK=R (12)????(12)?? !v ???????????????? 1????? vL ???????????????????????????(11)?????????pw = pA=wA = pv=!v = [ I¡ (1 + rK)A]¡1lA (13)????????????(13)?????wA = 1 (14)??????????????????????????????vL = 1???????????????????????? vL ???????????????????(11)??????????????????????????????????vL ? wA ? 2????????????? 2?????2)?3. ????????????????????????????????????? y?????n???????????????y=n = ® (15)?????????????? wA????? rw??????? p?????2) ???1990????????????????????????????????????????????????????????(11) ??????(13) ????????????spv = xlA ?????????????????????| 30 |????????????????????????????p = (1 + rw)wA® (16)??????????????????????????????????????????(9)??????????????????????????????????????????????????????????????????????????? (10)?? spA = xlA ?????????????????????????????????????????????????????????????????????????????????????????????????????(16)????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????Yagi?2016??3)?vL = 1??????????? !v????????????? ¼v ?????????????????rw = ¼v=!v = rK=!vR (17)??????????????????????????(12)??????1 = !v + rw!v (18)???????????!v ?????vL = wA + rwwA = (1 + rw)wA (19)???????????????????????????????????????????S = spv (20)?????????(10)?????????(20)????????????3) ???????????Garegnani, P.?1960??1987?????| 31 |?????? 71 ?? 1 ??????????????? (10)??????????? (20)?????S ?????????? P ???????????????(7)????????????????(8)??SP=LA = vL (21)??????????(19)(21)??? vL ??????SP=LA = (1 + rw)wA (22)??????????????????P = (1 + rw)wALA=S (23)???????? rK = R(1¡wA)??????? (10)??? LA=S = 1??????P = (1 + rw)wA (24)????????????????????????????????????????????????????????????????????????????4. ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????Sra®a?1960????? 2???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????| 32 |??????????????????????????????????? xlA ???????????????spw = (1=!v)xlA = fR=(R¡ rK)gxlA (25)???????????????? rK ?????????????? rw ???? (25)???????????spw = (1 + rw)xlA (26)???????????????????????????????????(26)??????????????????????? ND ?????ND = (1 + rw)xlA (27)??????????? NS ?????????NS = xlA (28)??????????????????????????????????????rw = 0 (29)???????????????rK = 0????????????????????????????????????????????????????????????????????????????????????????????? rwxlA ???????????????????????????????????????????????????????????????????????????????????????????? y?????????????????? zY??????????????? q???????????????????? zS ????????????spv = rKzSpv + !vxlA (30)???????| 33 |?????? 71 ?? 1 ?ypv = rKzY pv + !vxlA (31)??????????(31)??? (30)???????ypv ¡ spv = rK(zY pv ¡ zSpv) (32)????????????????????????ypv = spv + rw!vR(zY pv ¡ zSpv) (33)????(26)(33)???ypw = xlA + rwfxlA +R(zY pv ¡ zSpv)g (34)???????????????????????? rwfxlA+R(zY pv¡zSpv)g?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????5. ????????????????????????????????????1???????????????????????????????????????????????????????????????????????????????????????????????????? 1??? vL = 1?????????????????? 1?????? wA = 1?| 34 |???????????????????????2????????????????????????2??????????????????????????????????????????????????????????????????????????????????????????????????????? 3??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????A?????? 17H00982??????????????Garegnani, P.?1960?, Il Capitale nelle Teorie della Distribuzione, Giu®rµe,Millano??????????????????1966 ???Garegnani, P.?1987?, \Surplus approach to value and distribution," TheNew Palgrave Dictionary of Economics, John Eatwell, Murray Milgate,and Peter Newman, Macmillan.Pasinetti, L.L.?1977?Lectures on the Theory of Production, Columbia Uni-versity Press????????????????????????????????????????????????1979 ???Sra®a, P.?1960?, Production of Commodities by Means of Commodities,Cambridge University Press?????????????????????????1962 ???Tosato, D.?1985?, \A Reconsideration of Sra®a's Interpretation of Ricardoon Value and Distribution," G. A. Caravale (ed.), The Legacy of Ricardo,Basil Blackwell.Yagi, T.?2007?, New Productivity Indexes and Capital Theory?????????????? C?????:17530137??????? 186 ???Yagi, T.?2012?, \Structural Change and Invariable Standards," Arena R. andP. L. Porta (eds.), Structural Dynamics and Economic Growth, CambridgeUniversity Press?| 35 |?????? 71 ?? 1 ?Yagi, T.?2016?, \Distribution and Capital," Economic Theory and Its His-tory, Giuseppe Freni, Heinz D. Kurz, Andrea Mario Lavezzi and RodolfoSignorino (eds.), Routledge.?????1990?????????????????????????????????????????????????2000??????????????????????????????????????????????????2010?????????????????????????Vol.18, No.3?pp.53-59??????????????| 36 |

スラッファ体系の解釈

八木, 尚志

Takashi, Yagi

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スラッファ体系の解釈

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