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On the separability of the quasi concave closure of an additively separable function - MaRDI portal

On the separability of the quasi concave closure of an additively separable function (Q1072420)

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scientific article; zbMATH DE number 3941208
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On the separability of the quasi concave closure of an additively separable function
scientific article; zbMATH DE number 3941208

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    On the separability of the quasi concave closure of an additively separable function (English)
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    1985
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    This paper gives conditions under which the quasi-concave closure of the additively separable function \(U=\sum u_ i\) also is additively separable. If the functions \(u_ i\) are differentiable, then it is sufficient and necessary that all the functions \(u_ i\) are the same up to linear transformations of the axes. If the functions are nondifferentiable, then the linearity condition is replaced by pointwise linearity.
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    quasi-concave closure
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    additively separable function
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