We present conditions for the emergence of singularities in DGE models. We distinguish between slow-fast and impasse singularity types, review geometrical methods to deal with both types of singularity and apply them to DGE dynamics. We find that impasse singularities can generate new types of...

In this paper, we present a model-based method for identifying fiscal closure rules in stochastic macroeconomic models. The methodology is based on the stability analysis of the model at hand, with an endogenous derivation of a reaction on the part of the fiscal authority to state variables in...

Adaptive learning under constant-gain allows persistent deviations of beliefs from equilibrium so as to more realistically reflect agents' attempt of tracking the continuous evolution of the economy. A characterization of these beliefs is therefore paramount to a proper understanding of the role...

The mathematical analogies between economics and classical mechanics can be extended from constrained optimization to constrained dynamics by formalizing economic (constraint) forces and economic power in analogy to physical (constraint) forces in Lagrangian mechanics. In a...

We present conditions for the emergence of singularities in DGE models. We distinguish between slow-fast and impasse singularity types, review geometrical methods to deal with both types of singularity and apply them to DGE dynamics. We find that impasse singularities can generate new types of...

This paper characterizes a general class of macroeconomic models with incomplete information, when the information process includes endogenous variables. I derive conditions for existence and uniqueness of equilibrium, which apply even when the model contains endogenous state variables, and I...

In contrast to the neo-classical theory of Arrow and Debreu, a model of a private ownership economy is presented in which production and consumption bundles are treated separately. Each of the two types of bundles is assumed to establish a convex cone. The main part in the modelling is the...