National Society of Black Physicists posted Average Weights and Power in Weighted Voting Games National Society of Black Physicists Arlington-East Falls - Arlington:

Average Weights and Power in Weighted Voting Games

We investigate a class of weighted voting games for which weights are
randomly distributed over the unit simplex. We provide close-formed formulae
for the expectation and density of the distribution of weight of the $k$-th
largest player under the uniform distribution. We analyze the average voting
power of the $k$-th largest player and its dependence on the quota, obtaining
analytical and numerical results for small values…

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