This paper proposes conditions for the existence and uniqueness of solutions to systems of linear differential or algebraic equations with delays or advances, in which some variables may be non-predetermined. These conditions represent the counterpart to the Blanchard and Kahn conditions for the...

This paper demonstates the existence of a finite set of equilibria in the case of the indeterminacy of linear rational expectations models. The number of equilibria corresponds to the number of ways to select n eigenvectors among a larger set of eigenvectors related to stable eigenvalues. A...

In the article we present some extension for the classical problem of dynamic investment optimization. We take the neoclassical model of growth with one product and many consumption goods. The number of consumption goods can be infinite and the consumption bundle is defined on some abstract,...

The celebrated Uzawa(1961) theorem holds that，on the steady-growth path of neoclassical growth model，technological progress must be purely labor-augmenting rather than capital-augmenting，except the special case where the production function takes the form of Cobb-Douglas. With an augmented...

Taking into account the adjustment costs of investment, this paper proves that it is not the neoclassical growth model itself but the specific form of capital accumulation function that requires technical change to exclusively be Harrod neutral in steady state. Uzawa’s(1961)steady-state growth...

Since the publication of Uzawa(1961), it has been widely accepted that technical change must be purely labor-augmenting for a growth model to exhibit steady-state path. But in this paper, we argue that such a constraint is unnecessary. Further, our model shows that, as long as the sum of the...

The Kuznets-Kaldor stylized facts are one of the most striking empirical regularities of the development process in industrialized countries: While massive factor reallocation across technologically distinct sectors takes place, the aggregate ratios of the economy are quite stable. This implies...

By examining two-sector models of endogenous growth with physical and human capital, this paper demonstrates that indeterminacy of equilibrium may emerge even in the absence of social increasing returns. The first model we examine assumes that both final good and new human capital production...

This paper demonstrates that preference structure may play a pivotal role in generating indeterminacy in the stylized model of endogenous growth. By examining two-sector models of endogenous growth with human capital formation, we show that if the utility function of the representative family is...

This study analyses the dynamics of a two-dimensional overlapping generations economy with endogenous labour supply à la Reichlin (1986) and aspirations, i.e. effective consumption by individuals of the current generation depends on the standard of living (based on consumption experience) of...