Complete work-up of the one-sector scalar-capital theory of interest rate: Third installment auditing Sraffa's never-completed “Critique of Modern Economic Theory”

For future vector analysis of heterogeneous non-aggregatable capitals, we exhaustively analyze a labor-corn-scalar capital intertemporal model with joint or single-good production, in both neoclassical Clarkian or Sraffa-von Neumann alternative discrete technologies. Our novel Master Function proves qualitative parallelism of non-spurious marginalisms for Clark and Sraffa technologies. Importantly, most “strange” phenomena stressed by J. Robinson-Sraffa, do not trace to capital heterogeneity: a one-capital scenario, under joint production, can invalidate Ricardo's fundamental inverse tradeoff between profit and wage rate. Still, though, all competitive equilibria obey intertemporal Pareto optimality and agree with Senior's filter-down apologetics.