We study here the convexity of the Aumann integral for suitable multifunctions with values in the closed subsets of an infinite dimensional spaces. More precisely we investigate the Aumann integral for integrands of the type F(u) = [G(u) - e(u)] \cup {0} which appear in Equilibrium theory for large scale economies with infinite dimensional commodity space. Here G is a simple multifunction with closed and convex values, e is the initial endowement, and it is assumed to be Bochner integrable,
Multivalued integral of non convex intergrands
MARTELLOTTI, Anna;SAMBUCINI, Anna Rita
2003
Abstract
We study here the convexity of the Aumann integral for suitable multifunctions with values in the closed subsets of an infinite dimensional spaces. More precisely we investigate the Aumann integral for integrands of the type F(u) = [G(u) - e(u)] \cup {0} which appear in Equilibrium theory for large scale economies with infinite dimensional commodity space. Here G is a simple multifunction with closed and convex values, e is the initial endowement, and it is assumed to be Bochner integrable,File in questo prodotto:
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