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If a utility function is concave, does that mean the preferences are convex?

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Asd1995

If a utility function is concave, does that mean the preferences are convex?

eco aspirant

Re: If a utility function is concave, does that mean the preferences are convex?

Yes, if utility function is concave (strictly), it implies that the function is also quasi-concave (strictly). Presence of (strictly) quasi-concavity will ensure us (strictly)convex preferences.