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References
Aumann, R.J.: Integrals of set-valued functions. Jour. math. Analysis Appl. 12, 1–12 (1965).
—: Measurable utility and measurable choice theorem. La Décision, Editions du Centre Nationale de la Recherche Scientifique, 15–26, Paris, 1969.
Debreu, G.: Integration of correspondences. Proc. Fifth Berkeley Sympos. math. Statist. Probab., p. 351–372. Berkeley: University of California Press 1968.
Dunford, N., Schwartz, J.T.: Linear operators, part I. New York: Interscience 1958.
Eggleston, H.G.: Convexity. Cambridge: Cambridge University Press 1958.
Hildenbrand, W.: On economies with many agents. Jour. of Econ. Theory 2, 161–188 (1970).
—: Existence of equilibria for economies with production and a measure space of consumers. Econometrica 38, 608–623 (1970).
- Mertens, J.F.: Upper hemi-continuity of the equilibriumset correspondence. (To appear.)
Schmeidler, D.: Fatou's lemma in several dimensions. Proc. Amer. math. Soc. 24, 300–306 (1970).
- Games with infinitely many players. Ph. D. Theses, The Hebrew University of Jerusalem.
Yoshida, K., Hewitt, E.: Finitely additive measures. Trans. Amer. math. Soc. 72, 46–66 (1952).
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Hildenbrand, W., Mertens, J.F. On Fatou's Lemma in several dimensions. Z. Wahrscheinlichkeitstheorie verw Gebiete 17, 151–155 (1971). https://doi.org/10.1007/BF00538866
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DOI: https://doi.org/10.1007/BF00538866