Browsing by Subject "Infinite Dimensional Economy"

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    Theorems on double large economies and on the integral of banach space valued correspondences
    (2004) Evren, Özgür
    In this study we analyze Pareto optimal and core allocations of an exchange economy containing a Banach space of commodities and a measure space of traders. We show that in such an economy E, if a coalition C blocks an allocation, then a sufficiently small perturbation of C will also block the allocation. It is also shown that the Pareto set and the core of E are closed subsets of the Banach space of all integrable mappings of the consumer space into the commodity space. Provided that the commodity space of E is separable, we give a strengthening of this result by considering a particular form of convergence of a sequence of economies. To obtain these theorems on double large economies we establish several results related to the integral of B-space valued correspondences.