Continuous mean demand functions derived from non-convex preferences

Dierker E, Dierker H, Trockel W (1980)
Journal of Mathematical Economics 7(1): 27-33.

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In this paper we show that for a large subset of utility functions in the space of all C 1 utility functions and for all prices the mean demand of those consumers whose taste is represented by a given utility function in that subset is uniquely determined. This implies that for a large set of economies mean demand is a continuous function. Our analysis uses derivatives of first and of higher order. The result is essentially a consequence of the multijet transversality theorem.
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Dierker E, Dierker H, Trockel W. Continuous mean demand functions derived from non-convex preferences. Journal of Mathematical Economics. 1980;7(1):27-33.
Dierker, E., Dierker, H., & Trockel, W. (1980). Continuous mean demand functions derived from non-convex preferences. Journal of Mathematical Economics, 7(1), 27-33.
Dierker, E., Dierker, H., and Trockel, W. (1980). Continuous mean demand functions derived from non-convex preferences. Journal of Mathematical Economics 7, 27-33.
Dierker, E., Dierker, H., & Trockel, W., 1980. Continuous mean demand functions derived from non-convex preferences. Journal of Mathematical Economics, 7(1), p 27-33.
E. Dierker, H. Dierker, and W. Trockel, “Continuous mean demand functions derived from non-convex preferences”, Journal of Mathematical Economics, vol. 7, 1980, pp. 27-33.
Dierker, E., Dierker, H., Trockel, W.: Continuous mean demand functions derived from non-convex preferences. Journal of Mathematical Economics. 7, 27-33 (1980).
Dierker, Egbert, Dierker, Hildegard, and Trockel, Walter. “Continuous mean demand functions derived from non-convex preferences”. Journal of Mathematical Economics 7.1 (1980): 27-33.
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