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...

For deriving equilibrium of sticky-price/monopolistic competition New Keynesian models, first-order conditions are often used. This paper shows that they may not be sufficient and presents a case out of a simple model where there exists no equilibrium. This is true even when Taylor rule is assumed.

This paper presents a case where first-order conditions used for the Calvo sticky-price New Keynesian model is insufficient and in fact results in calculation of a wrong equilibrium.

We prove the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents and elastic labor supply. The method of proof relies on exploiting the existence of Lagrange multipliers in infinite dimensional spaces and the link between Pareto-optima and...

This paper analyses two types of models: 1. Those based on assumptions of monetary and financial market equilibrium disturbance in line with mainstream thinking that there is self-regulating market, the units would have rational expectations, and the crisis would be a temporary phenomenon caused...

This paper demonstrates 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 this paper we use global analysis techniques to investigate an economic growth model with environmental negative externalities, giving rise to a three-dimensional dynamic system (the framework is the one introduced by Wirl (1997)). The dynamics of our model admits a locally attracting steady...

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. The obtained conditions represent the counterpart of the Blanchard and Kahn conditions...

This paper demonstrates 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...

This survey analyzes two types of models: 1. Models based on assumptions of monetary and financial market equilibrium disturbance in line with mainstream thinking to believe that is self-regulating market, the units would have rational expectations, an the crisis would be a temporary phenomenon...