How far can we go in weakening the assumptions of the general equilibrium model? Existence of equilibrium, structural stability and finiteness of equilibria of regular economies, genericity of regular economies and an index formula for the equilibria of regular economies have been known not to...

An Equivalence Theorem between geometric structures and utility functions allows new methods for understanding preferences. Our classification of valuations into "Demand Types" incorporates existing definitions (substitutes, complements, "strong substitutes", etc.) and permits new ones. Our...

In this paper we introduce basic notions of new economic model where preference relations on commodities set are represented by a group action on Euclidean space instead of utility function. Conditions that ensure the existence of individual demand functions and a general equilibrium in the...

In contrast to the neo-classical theory of Arrow and Debreu, a model of a private ownership economy ispresented, in which production and consumption bundles are treated separately. Each ofthe two types of bundles is assumed to establish a convex cone. Production technologies can convert...