Econimies with a measure space of agents and a separable commodity space
The author has proven the existence of equilibria for economics with a measure space of agents \((T,\widetilde{L},\mu)\) and a separable Banach commodity space whose positive cone admits and interior point. To prove this, the author uses the truncation argument, and different economical approaches. The result may be considered as an extension of the Kalin-Yannelis result, allowing preferences to be interdependent by the use of Mazur's lemma and employing production. The author also presents a concrete example where the main theorem is applied.
scientific article; zbMATH DE number 1545417