Core Theory with Strongly Convex Preferences
نویسندگان
چکیده
منابع مشابه
Diversication, Convex Preferences and Non-empty Core 3 Yz
We show, in the Choquet expected utility model, that preference for diversi cation, that is, convex preferences, is equivalent to a concave utility index and a convex capacity. We then introduce a weaker notion of diversi cation, namely \sure diversication." We show that this implies that the core of the capacity is non-empty. The converse holds under concavity of the utility index. This proper...
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Strong convexity can be characterized in a number of ways. The following facts provide some conditions that are equivalent to Definition 1. For the 2-norm, Fact 2 means that the minimum eigenvalue of the Hessian is lower-bounded by κ. Recall that˜µ(θ) and˜µ(θ) are the gradients of˜Φ(θ) and˜Φ(θ), respectively. Since the conjugate function, ˜ Φ * , is assumed to be κ-strongly convex, we have via ...
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ژورنال
عنوان ژورنال: Econometrica
سال: 1981
ISSN: 0012-9682
DOI: 10.2307/1911411