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Business cycle fluctuations and learning-by-doing externalities in a one-sector model. (English) Zbl 1260.91149
Summary: We consider a one-sector Ramsey-type growth model with inelastic labor and learning-by-doing externalities based on cumulative gross investment (cumulative production of capital goods), which is assumed, in accordance with [K. Arrow, “The economic implications of learning by doing”, Rev. Econ. Stud. 29, 155–173 (1962)], to be a better index of experience than the average capital stock. We prove that a slight memory effect characterizing the learning-by-doing process is enough to generate business cycle fluctuations through a Hopf bifurcation leading to stable periodic orbits. This is obtained for reasonable parameter values, notably for both the amount of externalities and the elasticity of intertemporal substitution. Hence, contrary to all the results available in the literature on aggregate models, we show that endogenous fluctuations are compatible with a low (in actual fact, zero) wage elasticity of the labor supply.

MSC:
91B55 Economic dynamics
91B52 Special types of economic equilibria
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