Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let us consider a function $F$ twice differentiable, concave and let $x_1,\cdots,x_n\geq 0$, $\sum x_i=1$, $c>0$. When can the argmax for $\prod_{i=1}^n F(x_i)$ and argmax for $\prod_{i=1}^n (F(x_i)+c)$ be equal?

share|improve this question
What is $c$? A arbitraty number? And what you mean with argmax? The maximum? –  Umberto Jan 10 at 7:52
$c>0$, argmax is the argument for which we will obtain the maximum value –  fryderyk Jan 10 at 8:54
Sorry. Can you define argmax a bit better? $\prod_{i=1}^n F(x_i)$ is not a function of variable. Is a number (given $n$). So which argument are you talking about? –  Umberto Jan 10 at 11:05

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.