Extended voting measures

Canadian Journal of Statistics

Volumn 27, Issue 1, 1999, Pages 173-182

  Heard, Andrew ^a   Swartz, Tim ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Bayesian modelling; Gibbs sampling; Importance sampling; Voting power

Indexed keywords

EID: 0033409477     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315499     Document Type: Article

References (19)

1. Banzhaf, J.R. (1965). Weighted voting doesn't work: A mathematical analysis. Rutgers Law Rev. 19, 317-343.
2. Berger, J.O. (1985). Statistical Decision Theory and Bayesian Analysis. Second Edition. Springer-Verlag.
3. Brams, S.J. (1975). Game Theory and Politics, Free Press, Macmillan.
4. Coleman, J.S. (1971). Control of collectivities and the power of a collectivity to act. Social Choice (B. Lieberman, ed.), Gordon and Breach, New York, 269-298.
5. Deegan, J., and Packel, E.W. (1978). A new index of power for simple n-person games. Internat. J. Game Theory, 7, 113-123.
6. Evans, M., and Swartz, T.B. (1995). Methods for approximating integrals in statistics with special emphasis on Bayesian integration problems. Statist. Sci., 10, 254-272.
7. Evans, M., Gilula, Z., and Guttman, I. (1989). Latent class analysis of two-way contingency tables by Bayesian methods. Biometrika, 76, 557-563.
8. Felsenthal, D.S., and Machover, M. (1995). Postulates and paradoxes of relative voting power - a critical re-appraisal. Theory and Decision, 38, 195-229.
9. Gelfand, A.E., and Smith, A.F.M. (1990). Sampling based approaches to calculating marginal densities. J. Amer. Statist. Assoc., 85, 398-409.
10. Heard, A.D. and Swartz, T.B. (1997a). Empirical Banzhaf indices. To appear in Public Choice.
11. Heard, A.D. and Swartz, T.B. (1997b). The regional veto formula and its effects on Canada's constitutional amendment process. Canad. J. Polit. Sci., 30, 339-356.
12. Johnson, R.E. (1969). An analysis of weighted voting as used in reappointment of county governments in New York state. Albany Law Rev., 34, 1-45.
13. Johnston, R.J. (1978). On the measurement of power: Some reactions to Laver, Environ. and Plann. A, 10, 907-914.
14. Kilgour, D.M. (1983). A formal analysis of the amending formula of Canada's Constitution Act. Canad. J. Polit. Sci., 16, 771-777.
15. Levesque, T.J., and Moore, J.W. (1984). Citizen and provincial power under alternative amending formulae: An extension of Kilgour's analysis. Canad. J. Polit. Sci. 17, 157-166.
16. Lucas, W.F. (1982). Measuring power in weighted voting systems. Political and Related Models (S.J. Brams, W.F. Lucas, and P.D. Straffin, eds.), Models Appl. Math. 2, Springer-Verlag, New York, 183-238.
17. Shapley, L.S. and Shubik, M. (1954). A method for evaluating the distribution of power in a committee system. Amer. Polit. Sci. Rev., 48, 787-792.
18. Straffin, P.D., Jr. (1978). Probability models for power indices. Game Theory and Political Science (P.C. Ordeshook, ed.), New York Univ. Press, New York, 477-510.
19. Tanner, M.A., and Wong, W.H. (1987). The calculation of posterior distributions by data augmentation. J. Amer. Statist. Assoc., 82, 528-540.