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...

Using methods from computer algebra, especially Gröbner bases, we study the application which maps the mixtures of two Gaussian laws of probability to their six first moments. It is proved that the mapping is injective, and thus that the parameters of the mixture may be recovered from the...

We propose a new algorithm for solving integer programming (IP) problems that is based on ideas from algebraic geometry. The method provides a natural generalization of the Farkas lemma for IP, leads to a way of performing sensitivity analysis, offers a systematic enumeration of all feasible...