Below are the standard Marxian “exploitation theory” equations and what each means. Symbols: SR = sales revenue; c = constant capital; v = variable capital (wages paid); s = surplus value; L = living labor hours; λ = MELT (money per labor-hour).
- Value (sales) identity
Explanation: The money-value of output equals the value transferred from used-up means of production (c) plus wages (v) plus surplus value (s).
- Surplus value from sales
Explanation: After covering used-up capital and wages, the remainder of sales is surplus value (profit in money terms).
- Abstraction from constant capital (textbook simplification)
Explanation: When c is held aside, surplus value is simply sales minus wages.
- New value created by living labor
Explanation: Workers’ living labor adds all new value; part returns as wages (v), the rest is surplus (s).
- Rate of exploitation (rate of surplus value)
Explanation: Measures how much surplus is extracted per unit of wages paid.
- Time interpretation of exploitation
Explanation: Necessary labor time is the part of the day that reproduces the wage; surplus labor time produces s for capitalists.
- Linking money and labor time (using MELT λ)
Explanation: With λ converting labor-hours into money, surplus value is the money-value created by living labor minus wages.
- Wage-equivalent in labor time
Explanation: Expresses wages and surplus as portions of the working day.
- Rate of profit (distinct from exploitation rate)
Explanation: Profit as a share of the total advanced capital; can move differently from because may change.
- Organic composition of capital (descriptive ratio)
Explanation: Capital intensity; in Marx, a rising tends to press down even if rises.
Free‑market note: The equations above present Marx’s internal accounting. Laissez‑faire economists explain profit and wages via time preference, uncertainty-bearing, capital formation, entrepreneurship, and marginal productivity under voluntary exchange, challenging the causal claims Marx draws from these identities.
Learn more
- George Reisman, Capitalism: A Treatise on Economics.
- George Reisman, “Marxism/Socialism, A Sociopathic Philosophy Conceived in Gross Error and Ignorance…”.
- William J. Bernstein, The Birth of Plenty.
- Hans-Hermann Hoppe, A Theory of Socialism and Capitalism.
- Eugen von Böhm-Bawerk, Capital and Interest (critiques of exploitation theory).
- Ludwig von Mises, Human Action.
- F. A. Hayek, The Constitution of Liberty.