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A two-sector model of optimal growth in which labour is employed only in the industry of investment goods: A complete characterization of equilibrium paths

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  • Guerrazzi, Marco

Abstract

In this paper, I develop a two-sector growth model with endogenous labour supply in which labour is employed only in the production of investment goods. From a theoretical point of view, I show that no matter the shape of the technology to produce consumption goods, a convex technology in the sector of investment goods is necessary and sufficient for a meaningful stationary solution and the determinacy of equilibrium trajectories. In addition, from a numerical perspective, I show that a calibrated version of the model relaxes the complementarity between the propensity to consume and to save and it is also able to provide a rationale for the procyclical patterns of the relative price of capital goods and the real wage.

Suggested Citation

  • Guerrazzi, Marco, 2025. "A two-sector model of optimal growth in which labour is employed only in the industry of investment goods: A complete characterization of equilibrium paths," MPRA Paper 126299, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:126299
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    Keywords

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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development

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