Abstract
In the next two chapters will be presented the theory of consumer choice. In this theory, commodity bundles and prices are primitive concepts and both are represented by vectors in n-dimensional euclid-ean space. Therefore, some properties of this space are treated in the present chanter.
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References
On convex sets, see e.g. Berge, Eggleston, Valentine.
See Eggleston, p. 25; Valentine, part V.
It can also be shown that M and L are both lower semi-continuous correspondences and that both are upper semi-continuous for p > 0. For a definition of these properties, see e.g. Berge, p. 114.
See e.g. Berge, p. 171, Berge and Ghouila-Houri, p. 52, Eggleston, p. 19, Valentine, p. 27.
This theorem on c.u.p. sets is similar to a result in Malinvaud (1964), with respect to ellipsoids, see p. 154.
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© 1970 Universitaire Pers Rotterdam
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Weddepohl, H.N. (1970). Mathematics for consumer choice theory. In: Axiomatic choice models and duality. Tilburg Studies on Economics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-9831-8_4
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DOI: https://doi.org/10.1007/978-94-011-9831-8_4
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