Convex preferences: Difference between revisions

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Example of an implementable utility function yielding any form of convex preferences.
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== Examples ==
1. If there is only a single commodity type, then any weakly-monotonically- increasing preference relation is convex. This is because, if <math>y \geq x </math>, then every weighted average of ''y'' and ''ס'' is also <math>\geq x </math>.
 
2. Consider an economy with two commodity types, 1 and 2. Consider a preference relation represented by the following [[Leontief utility function]]: