Liapounoff’s vector measure theorem in Banach spaces and applications to general equilibrium theory
Michael Greinecker
(ENS Paris-Saclay)
&
Konrad Podczeck
(University of Vienna)
We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara (Illinois J. Math. 2013). We apply our result to integration of Banach space valued correspondences and to the core-Walras equivalence problem in coalitional exchange economies with an infinite-dimensional commodity space.
