Abstract
In many papers on consumer theory and production analysis duality results between profit, revenue, cost, input, output and shortage functions are established. This functions are associated to certain subsets of ℝn. The aim of this paper is to study in a systematic way such duality results in locally convex spaces and to derive them under minimal hypotheses.
Resumen
En muchos artículos sobre teoría del consumo y análisis de la producción, se establecen resultados de dualidad entre beneficios y costes, e inversiones y rendimientos, proponiéndose diversas funciones de insuficiencia asociadas a ciertos subconjuntos de ℝn. El objeto de este trabajo es el estudio sistemático de dichos resultados de dualidad en espacios localmente convexos, y su obtención bajo condiciones mínimas.
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ZĂlinescu, C. Duality results involving functions associated to nonempty subsets of locally convex spaces. Rev. R. Acad. Cien. Serie A. Mat. 103, 219–234 (2009). https://doi.org/10.1007/BF03191905
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DOI: https://doi.org/10.1007/BF03191905