We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The …

environments are then conventionally modeled as weighted voting games. We introduce weighted committee games in order to describe …

; simple games ; weighted voting games ; square root rule ; Penrose limit theorem ; Penrose-Banzhaf index ; institutional …

We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The …

the input and the output. The corresponding games are called (j,k) simple games. Here we present a new axiomatization for … the Shapley-Shubik index for (j,k) simple games as well as for a continuous variant, which may be considered as the limit …

value v(L) = 0 that is closed under taking subsets and a set W of winning coalitions W with v(W) = 1. Simple games with α … = minp>0 maxW∈W,L∈L p(L) p(W) < 1 are exactly the weighted voting games. We show that α 6 1 4n for every simple game (N …,v), confi rming the conjecture of Freixas and Kurz (IJGT, 2014). For complete simple games, Freixas and Kurz conjectured that α …

Weighted committee games generalize n-player simple voting games to m ≥ 3 alternatives. The committee's aggregation …