Liapounoff’s vector measure theorem in Banach spaces and applications to general equilibrium theory

Michael Greinecker and Konrad Podczeck ()
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Konrad Podczeck: Universität Wien

Economic Theory Bulletin, 2013, vol. 1, issue 2, No 8, 157-173

Abstract: Abstract 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.

Keywords: Liapounoff’s theorem; Vector measures; Correspondences; Blocking power of small coalitions; Core-Walras equivalence; Coalitional economies (search for similar items in EconPapers)
JEL-codes: C02 C60 C71 D51 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s40505-013-0018-0

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