CAJ | 학술논문

本文基于《资本论》不变资本与可变资本概念，构建了马克思生产函数理论体系，得到马克思生产函数、剩余价值生产函数、成本函数，以及利润率函数；从而对索洛余值的经济学内涵赋予了马克思主义观点的阐释，也即，斯密-杨格的分工理论可与置盐定理有机整合：技术进步源于劳动分工、又加剧劳动分工，技术进步率m可以表征为利润率增长p、工资率增速ω与资金周转率n关于分工系数（1-α，劳动产出弹性）的线性组合：m=an＋（1-α）ω＋[1-（1-α）（p′＋1）^-]p，并推导出利润率（p’）的增长率（P）关于资本有机构成变化率（g）负相关的微分函数解析表达式：p=（y-ω-αg）（p’＋1）（p’＋α）^-1（y，劳动生产率）。劳动生产率y的提高，将能抵消资本有机构成与工资率增长对利润率的负向作用，保证利润率增长。
본문기우《자본론》불변자본여가변자본개념，구건료마극사생산함수이론체계，득도마극사생산함수、잉여개치생산함수、성본함수，이급리윤솔함수；종이대색락여치적경제학내함부여료마극사주의관점적천석，야즉，사밀-양격적분공이론가여치염정리유궤정합：기술진보원우노동분공、우가극노동분공，기술진보솔m가이표정위리윤솔증장p、공자솔증속ω여자금주전솔n관우분공계수（1-α，노동산출탄성）적선성조합：m=an＋（1-α）ω＋[1-（1-α）（p′＋1）^-]p，병추도출리윤솔（p’）적증장솔（P）관우자본유궤구성변화솔（g）부상관적미분함수해석표체식：p=（y-ω-αg）（p’＋1）（p’＋α）^-1（y，노동생산솔）。노동생산솔y적제고，장능저소자본유궤구성여공자솔증장대리윤솔적부향작용，보증리윤솔증장。
Upon the concepts of the constant capital and the variable capital, Marxian production function theory is constructed including Marxian aggregate production function, the surplus value production function, the cost production function and the profit rate function. Therefore, the implication of Solow residue is elucidated by the integration of Smith-Young theory of labor division and Okishio theorem： the technical progress has the root in the labor division thus accelerate the labor division; the rate of technical change （m）, i.e. Solow residue, could be characterized as the linear combination of the growth rate of profit （p）, wage （ ω ）, and capital circulation （ n ） respecdy： m = an ＋（1 - a）ω ＋ [1 - （1 - ω）（p＇＋ 1）^-1]p , and the relationship between p and the capital organic composision g is derived as： p=（y-ω-ag）（p＇＋1）（p＇＋a）^-1, which clarified that the rate of profit is negatively related to the capital organic composition and the rate of wage, but positively related to the rate of labour productivity, hence, the tendency of the rate of profit may not fall.