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Equally distributed correspondences. (English) Zbl 0288.28013


MSC:

28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration
28-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to measure and integration
46-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to functional analysis
Full Text: DOI

References:

[1] Aumann, R. J., Integrals of set-valued functions, J. Math. Anal. and Appl., 12, 1-12 (1965) · Zbl 0163.06301
[2] Billingsley, P., Convergences of probability measures (1968), Wiley: Wiley New York · Zbl 0172.21201
[3] Debreu, G., Integration of correspondences, Proc. 5th Berkeley Symp. II, 1, 351-372 (1967) · Zbl 0211.52803
[4] Halmos, P. R.; Vaughan, H. E., The marriage problem, Am. J. of Math., 72, 214-215 (1950) · Zbl 0034.29601
[5] Hart, S.; Hildenbrand, W.; Kohlberg, E., On equilibrium allocations as distributions on the commodity space, Journal of Mathematical Economics, 1 (1974), preceding article. · Zbl 0292.90014
[6] Hildenbrand, W., Core and equilibria in a large economy (1974), Princeton University Press: Princeton University Press Princeton · Zbl 0351.90012
[7] Kannai, Y., Continuity properties of the core of a market, Econometrica, 38, 791-815 (1970) · Zbl 0222.90004
[8] Lyapunov, A., Sur les fonctions-vecteurs completement additives, Bull. Acad. Sci. USSR, Ser. Math., 4, 465-478 (1940) · Zbl 0024.38504
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