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Example of an implementable utility function yielding any form of convex preferences. |
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A set of [[Convex function|convex]]-shaped [[indifference curve]]s displays convex preferences: Given a convex indifference curve containing the set of all bundles (of two or more goods) that are all viewed as equally desired, the set of all goods bundles that are viewed as being at least as desired as those on the indifference curve is a [[convex set]].
Convex preferences with their associated convex indifference mapping arise from [[Quasi-convex function|quasi-concave]] utility functions, although these are not necessary for the analysis of preferences. For example, Constant Elasticity of Substitution (CES) utility functions describe convex, homothetic preferences. CES preferences are self-dual and both primal and dual CES preferences yield systems of indifference curves that may exhibit any degree of convexity.<ref>{{Cite journal |last=Baltas |first=George |date=2001 |title=Utility-consistent Brand Demand Systems with Endogenous Category Consumption: Principles and Marketing Applications |url=https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5915.2001.tb00965.x |journal=Decision Sciences |language=en |volume=32 |issue=3 |pages=399–422 |doi=10.1111/j.1540-5915.2001.tb00965.x}}</ref>
== See also ==
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