Smoothing demand by aggregation with respect to wealth

Dierker E, Dierker H, Trockel W (1980)
Journal of Mathematical Economics 7(3): 227-247.

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We suggest in this paper to treat the problem of smoothing demand by aggregation in a two-step procedure, corresponding to the two different constituents of consumption characteristics, wealth and preferences. Instead of imposing a manifold structure on preferences we exploit the nice structure of wealth-space. The first step of this procedure, aggregation with respect to wealth, is carried out. It is shown that, for any preference, aggregation with respect to wealth yields a mean demand which is almost everywhere C 1. Moreover, it is shown that for an important class of preferences, vanishing Gaussian curvature of indifference surfaces does not destroy differentiability of the mean demand function.
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Dierker E, Dierker H, Trockel W. Smoothing demand by aggregation with respect to wealth. Journal of Mathematical Economics. 1980;7(3):227-247.
Dierker, E., Dierker, H., & Trockel, W. (1980). Smoothing demand by aggregation with respect to wealth. Journal of Mathematical Economics, 7(3), 227-247.
Dierker, E., Dierker, H., and Trockel, W. (1980). Smoothing demand by aggregation with respect to wealth. Journal of Mathematical Economics 7, 227-247.
Dierker, E., Dierker, H., & Trockel, W., 1980. Smoothing demand by aggregation with respect to wealth. Journal of Mathematical Economics, 7(3), p 227-247.
E. Dierker, H. Dierker, and W. Trockel, “Smoothing demand by aggregation with respect to wealth”, Journal of Mathematical Economics, vol. 7, 1980, pp. 227-247.
Dierker, E., Dierker, H., Trockel, W.: Smoothing demand by aggregation with respect to wealth. Journal of Mathematical Economics. 7, 227-247 (1980).
Dierker, Egbert, Dierker, Hildegard, and Trockel, Walter. “Smoothing demand by aggregation with respect to wealth”. Journal of Mathematical Economics 7.3 (1980): 227-247.
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