A Classical Marxian Two-Sector Endogenous Cycle Model: Integrating Marx, Dutt, and Goodwin

This paper introduces a Classical Marxian Two-Sector Endogenous Cycle (CMTSEC) model, merging Dutt's (1988) two-sector model of Classical convergence with labor dynamics inspired by Goodwin (1967) and an endogenous labor supply inspired by Harris (1983). Empirical support fortifies these assumptions. Utilizing the Hopf bifurcation theorem and numerical simulations, we demonstrate the model's capacity to produce stable limit cycles encompassing wage share, employment rate, and sectoral capital distribution. Notably, sectoral profit rates exhibit cyclic fluctuations, prompting a reevaluation of long-run equilibrium. The model underscores the role of investment sensitivity to sectoral profit rate disparities in determining cycle stability. Hence, the CMTSEC model extends Goodwin’s (1967) endogenous cycle model, encapsulating the conflict between capital and labor while delving into the intricate dynamics of capitalist reproduction in a two-sector economy.