A Representation Theorem for Domains with Discrete and Continuous Variables
Charles Blackorby, Walter Bossert, David J. Donaldson · Papyrus : Institutional Repository (Université de Montréal) · 2001
This paper proves a new representation theorem for domains with both discrete and continuous variables. The result generalizes Debreu's well-known representation theorem on connected domains. A strengthening of the standard continuity axiom is used in order to guarantee the existence of a representation. A generalization of the main theorem and an application of the more general result are also presented.