2 problems

Let $n\ge3$, let $\sigma\in\mathbb{R}_{\ge0}^n$ satisfy $\Vert\sigma\Vert_1=1$, and write $\sigma^n$ for the desired power distribution in dimension $n$. Shapley–Shubik approximati…

For each $n\in\mathbb{N}$, let $\sigma^n=(0.75,0.25,0,\dots,0)\in\mathbb{R}_{\ge0}^n$, and let $v$ be a simple game on $n$ voters. Uniform approximation lower-bound conjecture. … T…