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Equilibrium Theory in Infinite Dimensional Spaces pp 2–35Cite as

Integration of Banach-Valued Correspondence

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Part of the book series: Studies in Economic Theory ((ECON.THEORY,volume 1))

Abstract

We study the basic properties of the integral of a Banach-valued correspondence. In particular, we examine the convergence, compactness and convexity properties of the Bochner and Gel’fand integrals of a set-valued function. The above properties are applied to prove the existence of an equilibrium for an abstract economy with a continuum of agents.

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Authors
  1. Nicholas C. Yannelis
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Editors and Affiliations

  1. The Johns Hopkins University, 21218, Baltimore, MD, USA

    M. Ali Khan

  2. Department of Economics, University of Illinois at Urbana-Champaign, 61820, Champaign, IL, USA

    Nicholas C. Yannelis

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© 1991 Springer-Verlag Berlin Heidelberg

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Yannelis, N.C. (1991). Integration of Banach-Valued Correspondence. In: Khan, M.A., Yannelis, N.C. (eds) Equilibrium Theory in Infinite Dimensional Spaces. Studies in Economic Theory, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07071-0_1

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  • DOI: https://doi.org/10.1007/978-3-662-07071-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08114-9

  • Online ISBN: 978-3-662-07071-0

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