Quasiconcavebutnotconcave

But the converse, i.e., whether any quasiconcave function is a monotonic transformation of a concave function, is not necessarily true. That is why ...

由 X Vilà 著作 · 2022 — Consider the function f(x) = x3, it is quasiconcave (and quasiconvex) but not concave. (nor convex). Remark 36. f quasiconcave ⇔ −f ...

2020年4月25日 — Quasi-concave functions need not be concave, however. For ... Finally, here is an example of a quasi-concave, but not concave, function defined.

2022年2月17日 — If we have complete, transitive, continuous, and strictly convex preferences, then all the utility functions that represent them are strictly ...

The probability density function of the normal distribution is quasiconcave but not concave. The bivariate normal joint density is quasiconcave. Quasiconvexity ...

2022年12月6日 — Figure 21.1.3: This function is convex, but not strictly convex. The flat portions of the graph rule out strict convexity.

2017年11月1日 — A function with this graph is quasiconcave, but not concave. It can be proved that a function f is quasiconcave if and only there exists x ...

Thus every upper level set is convex and hence f is quasiconcave. The converse of this result is not true: a quasiconcave function may not be concave.

It is definitely not concave or quasiconcave because the superlevel sets are not convex. It is also not convex, for the following reason. We plot the function ...

2015年8月27日 — If f : Rn → R is convex, then f is quasiconvex. Example ex is quasiconcave but not concave. In fact it is also convex and quasiconvex. Theorem.