Let f be a strictly increasing homothetic functional on a cone S in an linear space X.

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Let f be a strictly increasing homothetic functional on a cone S in an linear space X. Then there exists a linearly homogeneous function h: S → ℜ and a strictly increasing function g: ℜ → ℜ such that f = g o h.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:43 AM

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Let f be a strictly increasing homothetic functional on a cone S in an linear space X.

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Let x 0 0 be any point in and define by x 0 Since is strictly increasing so is and th...View the full answer

Foundations of Mathematical Economics

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