Abstract
For an exchange economy with finitely many agents and a commodity space which is infinite dimensional, it is proved that competitive equilibria are the same as allocations belonging to the fuzzy core of the economy. The latter is further characterized as a subset of the ordinary core of a suitably associated continuum economy.
Riassunto
Per un'economia di puro scambio con un numero finito di agenti e uno spazio dei beni di dimensione non necessariamente finita, si prova che gli equilibri Walrasiani possono essere caratterizzati come allocazioni che appartengono al nucleo fuzzy dell'economia. Inoltre, queste ultime allocazioni sono in corrispondenza biunivoca con allocazioni di tipo semplice che si trovano nel nucleo ordinario di un'opportuna economia che ha [0,1] come spazio rappresentativo dello spazio degli agenti.
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Basile, A., De Simone, A. & Graziano, M.G. On the aubin-like characterization of competitive equilibria in infinite dimensional economies. Rivista di Matematica per le Scienze Economiche e Sociali 19, 187–203 (1996). https://doi.org/10.1007/BF02441266
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DOI: https://doi.org/10.1007/BF02441266