Full entry |
PDF
(0.2 MB)
Feedback

fair majority; power indices; quota interval of stable power; simple weighted committee; voting power

References:

[1] Banzhaf, J. F.: **Weighted voting doesn't work: A mathematical analysis**. Rutgers Law Rev. 19 (1965), 317-343.

[2] Felsenthal, D. S., Machover, M.: **The Measurement of Voting Power, Theory and Practice**. Edward Elgar, Cheltenham 1998. MR 1761929 | Zbl 0954.91019

[3] Gallagher, M.: **Proportionality, disproportionality and electoral systems**. Electoral Stud. 10 (1991), 33-51. DOI 10.1016/0261-3794(91)90004-C

[4] Loosemore, J., Hanby, V. J.: **The theoretical limits of maximum distortion: Some analytical expressions for electoral systems**. British J. Polit. Sci. 1 (1971), 467-477. DOI 10.1017/S000712340000925X

[5] Nurmi, H.: **On power indices and minimal winning coalitions**. Control Cybernet. 26 (1997), 609-611. MR 1642827 | Zbl 1054.91533

[6] Owen, G.: **Multilinear extensions of games**. Management Sci. 18 (1972), 64-79. DOI 10.1287/mnsc.18.5.64 | MR 0294010 | Zbl 0715.90101

[7] Penrose, L. S.: **The elementary statistics of majority voting**. J. Royal Statist. Soc. 109 (1946), 53-57. DOI 10.2307/2981392

[8] Shapley, L. S., Shubik, M.: **A method for evaluation the distribution of power in a committee system**. Amer. Polit. Sci. Rev. 48 (1954), 787-792. DOI 10.2307/1951053

[9] Słomczyński, W., Życzkowski, K.: **From a toy model to double square root system**. Homo Oeconomicus 24 (2007), 381-400.

[10] Słomczyński, W., Życzkowski, K.: **Penrose voting system and optimal quota**. Acta Phys. Polon. B 37 (2006), 3133-3143.

[11] Turnovec, F.: **Fair voting rules in committees, strict proportional power and optimal quota**. Homo Oeconomicus 27 (2011), 4, 463-479.

[12] Turnovec, F.: **Power, power indices and intuition**. Control Cybernet. 26 (1997), 613-615. MR 1642828 | Zbl 1054.91535