Integrals of production sets with restricted substitution

Werner Hildenbrand; Abraham Neyman

doi:10.1016/0304-4068(82)90018-0

Integrals of production sets with restricted substitution

Werner Hildenbrand^*
, Abraham Neyman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

It is well known that the set of all zonoids (integrals of line segments) in Rⁿ (n>2) is a closed and nowhere dense subset in the space of all compact, convex and centrally symmetric subsets of Rⁿ. We generalize this result to sets which are the integral ofk-dimensional convex sets, k<n.

Original language	English
Pages (from-to)	71-82
Number of pages	12
Journal	Journal of Mathematical Economics
Volume	9
Issue number	1-2
DOIs	https://doi.org/10.1016/0304-4068(82)90018-0
State	Published - Jan 1982
Externally published	Yes

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AB - It is well known that the set of all zonoids (integrals of line segments) in Rn (n>2) is a closed and nowhere dense subset in the space of all compact, convex and centrally symmetric subsets of Rn. We generalize this result to sets which are the integral ofk-dimensional convex sets, k

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Integrals of production sets with restricted substitution

Abstract

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