Assessing the Local Stability Properties of Discrete Three-Dimensional Dynamical Systems: a Geometrical Approach with Triangles and Planes & an Application with some Cones*

The difficulties associated with the appraisal of the determinacy properties of a three-dimensional sy em are circumvented by the introdu ion of a new geometrical argument. It brings about a complete typology of the eigenvalues moduli in discrete time three-dimensional dynamical sy ems and then provides a new apparatus for assessing from a geometrical andpoint the emergence of local bifurcations for parameterised economies. The argument is considered through the extensive chara erisation of the ability properties of a benchmark model of inter-temporal economic analysis.