A fuzzy core equivalence theorem
The referred paper deals with the model of economies with a measure space of agents which need not be non-atomic. The commodity spaces considered in the paper include ordered separable Banach space admitting an interior point in its positive cone, separable Banach lattice whose positive cone may lack an interior point, and a sort of Lebesgue space. Preference relations in the considered model are convex (except for the non-atomic case). The main results establish the equivalence between the fuzzy core, Edgeworth core and the Walrasian equilibrium in the considered economies.
scientific article; zbMATH DE number 1491288