Average Weights and Power in Weighted Voting Games

@article{Boratyn2020AverageWA,
  title={Average Weights and Power in Weighted Voting Games},
  author={D. Boratyn and W. Kirsch and Wojciech Słomczyński and Dariusz Stolicki and K. Zyczkowski},
  journal={ArXiv},
  year={2020},
  volume={abs/1905.04261}
}
We investigate a class of weighted voting games for which weights are randomly distributed over the standard probability 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 of $n$ and a general theorem about the functional form… Expand
1 Citations

References

SHOWING 1-10 OF 111 REFERENCES
A Characterization of Voting Power for Discrete Weight Distributions
  • 2
  • PDF
Shapley Values in Weighted Voting Games with Random Weights
  • 3
  • PDF
Computing Power Indices for Large Voting Games
  • D. Leech
  • Computer Science, Economics
  • Manag. Sci.
  • 2003
  • 109
  • PDF
Dynamic weighted voting games
  • 12
  • PDF
Analyzing Power in Weighted Voting Games with Super-Increasing Weights
  • 6
  • PDF
On minimum sum representations for weighted voting games
  • S. Kurz
  • Mathematics, Computer Science
  • Ann. Oper. Res.
  • 2012
  • 53
  • PDF
Manipulating the quota in weighted voting games
  • 73
  • PDF
Faster algorithms for computing power indices in weighted voting games
  • 33
Correction to: On minimum sum representations for weighted voting games
  • S. Kurz
  • Mathematics, Computer Science
  • Ann. Oper. Res.
  • 2018
  • 1
  • PDF
From a toy model to the double square root voting system
  • 28
  • PDF
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