Let S be convex set in n that contains no interior points of the non positive orthant n Then there exists a hyperplane with nonnegative normal p 0 such that pTx 0 for every x S ...

Consider the set x x t here exists a ...

Let S be convex set in n that contains no interior points of the non positive orthant

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Let S be convex set in ℜn that contains no interior points of the non positive orthant ℜn-. Then there exists a hyperplane with nonnegative normal p ≩ 0 such that
pTx ≥ 0 for every x ∈ S

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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 11:45 AM

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Let S be convex set in n that contains no interior points of the non positive orthant

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Foundations of Mathematical Economics

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