Positive Alon–Edelman conjecture for several power indices

Let an Alon–Edelman type result mean a bound showing that a simple game's power vector is close to the power vector of a game with only the concentrated $k$ voters and the remaining voters as dummies. Alon–Edelman positivity conjecture. The nucleolus, the minimum sum representation index, the Shapley–Shubik index and, more generally, $p$-binomial semivalues are positive answers to the question of which power indices admit Alon–Edelman type results. The paper reports such results for some indices, but does not establish the full stated generality in the supplied passage.