Balanced cycles in an OLG model with a continuum of finitely-lived individuals

This paper studies the intertemporal equilibrium of a barter economy populated with a continuum of …finitely-lived overlapping generations. Assuming isoelastic preferences and zero endowments at the beginning and the end of the individual's life-span, it proves the existence of an Hopf bifurcation and provides sufficient conditions on parameters for its occurrence.Overlapping-generations Models, Mixed-type Functional Differential Equations, Endogenous Fluctuations, Hopf Bifurcation.

Continuous-Time Overlapping Generations Models

Age structured populations are studied in economics through overlapping generations models. These models allow for a realistic characterization of life-cycle behaviors and display intertemporal equilibrium that are not necessarily efficient. This article uses the latest developments in continuous time overlapping generations models to show the influence of the vintage structure of the population on the volatility of intertemporal prices. Permanent cycles can be found on the neighborhood of steady-states while the transitional dynamics are generically governed by short run fluctuations.overlapping generations; continuous time; life-cycle; intertemporal prices.

Continuous-Time Overlapping Generations Models

Age structured populations are studied in economics through overlapping generations models. These models allow for a realistic characterization of life-cycle behaviors and display intertemporal equilibrium that are not necessarily efficient. This article uses the latest developments in continuous time overlapping generations models to show the influence of the vintage structure of the population on the volatility of intertemporal prices. Permanent cycles can be found on the neighborhood of steady-states while the transitional dynamics are generically governed by short run fluctuations

Continuous-Time Overlapping Generations Models

Age structured populations are studied in economics through overlapping generations models. These models allow for a realistic characterization of life-cycle behaviors and display intertemporal equilibrium that are not necessarily efficient. This article uses the latest developments in continuous time overlapping generations models to show the influence of the vintage structure of the population on the volatility of intertemporal prices. Permanent cycles can be found on the neighborhood of steady-states while the transitional dynamics are generically governed by short run fluctuations

Balanced cycles in an OLG model with a continuum of finitely-lived individuals

International audienceThis paper studies the intertemporal equilibrium of a barter economy populated with a continuum of finitely-lived overlapping generations. Assuming isoelastic preferences and zero endowments at the beginning and the end of the individual's life-span, it proves the existence of an Hopf bifurcation and provides sufficient conditions on parameters for its occurrence

Spatial externality and indeterminacy

International audienc

Business cycle fluctuations and learning-by-doing externalities in a one-sector model

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 Arrow [5], to be a good index of experience. We prove that a slight memory effect characterizing the learning-by-doing process is enough to generate business cycle fluctuations through a Hopf bifurcation. This is obtained for reasonable parameter values, notably for both the elasticity of output with respect to the externality 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.One-sector infinite-horizon model, learning-by-doing externalities, inelastic labor, business cycle fluctuations, Hopf bifurcation