Multiplicity of equilibria is a prevalent problem in many economic models. Oftenequilibria are characterized as solutions to a system of polynomial equations. This pa-per gives an introduction to the application of GrÄobner basis methods for ¯nding allsolutions of a polynomial system. The...

Multiplicity of equilibria is a common problem in many economic models. In general, it is impossible to devise methods that always find all equilibria for any type of model. A notable exception are models in which all equilibria are solutions to a system of polynomial equations since there are...

In many studies involving complex representation of the Earth's climate, the number of runs for the particular model is highly restricted and the designed set of input scenarios has to be reduced correspondingly. Furthermore, many integrated assessment models, in particular those focusing on...

We describe a sparse grid collocation algorithm to compute recursive solutions of dynamic economies with a sizable number of state variables. We show how powerful this method may be in applications by computing the nonlinear recursive solution of an international real business cycle model with a...

We describe a sparse grid collocation algorithm to compute recursive solutions of dynamic economies with a sizable number of state variables. We show how powerful this method may be in applications by computing the nonlinear recursive solution of an international real business cycle model with a...