4 problems

Let $\mathcal{D}$ be a distributive lattice, let $\mathcal{S}(\mathcal{D})$ be the set of selectors, let $\mathcal{C}(\mathcal{D})$ be the set of consistent selectors, and let $p$…

Given vectors $\boldsymbol{x},\boldsymbol{y}\in\mathbb{R}^{n}$, write $\boldsymbol{x}\prec\boldsymbol{y}$ when $\boldsymbol{x}$ is majorized by $\boldsymbol{y}$, meaning that, for…

Let $Bz_1$ denote the relative Banzhaf power index for players of type $1$, and let Corollary denote the source's ordering result for the Shapley--Shubik index. Generalized power-i…

Let $n_1,n_2$ be the numbers of players of the two types, and let $Bz_2(a,b,n_1,n_2)$ denote the relative Banzhaf power index of a player of type $2$ in the corresponding complete…