If the convex preference relation 7 is continuous, x y x (1 )y y for every 0 1 ...

Assume x y Then x ySince y is ...

If the convex preference relation 7 is continuous, x y x + (1-)y > y

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If the convex preference relation 7 is continuous,
x ≻ y ⇒ αx + (1-α)y > y for every 0 < α < 1

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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 11:31 AM

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If the convex preference relation 7 is continuous, x y x + (1-)y > y

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Foundations of Mathematical Economics

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