Esther Fernández (Instituto Complutense de Análisis Económico (ICAE), Universidad Complutense de Madrid) Jesús Ruiz (Instituto Complutense de Análisis Económico (ICAE), Universidad Complutense de Madrid)
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We show that in a simple growth model, where public consumption enters the utility function, and under constant returns to scale in production, the competitive equilibrium can be undetermined. Indeterminacy of equilibria arises for plausible values of the elasticity of intertemporal substitution of consumption, and even when supply and demand labor curves have the standard slopes. Non-separability between public consumption and leisure in the utility function is crucial for this result. En este trabajo se muestra que, en un modelo de crecimiento sencillo, donde el consumo público es un argumento de la función de utilidad, y en el que la tecnología de producción exhibe rendimientos constantes a escala en la producción, el equilibrio competitivo puede estar indeterminado. Se produce indeterminación de equilibrios para valores creíbles de la elasticidad de sustitución intertemporal del consumo. Además, puede ocurrir que las curvas de oferta y demanda de trabajo tengan las pendientes habituales. Para obtener estos resultados es imprescindible suponer preferencias en las que el consumo público y el ocio son no separables.
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