L S Penrose's limit theorem: Tests by simulation

Mathematical social sciences

Volumn 51, Issue 1, 2006, Pages 90-106

  Chang, Pao Li ^a   Chua, Vincent C H ^a   Machover, Moshé ^b  

^a SINGAPORE MANAGEMENT UNIVERSITY   (Singapore)

^b LONDON SCHOOL OF ECONOMICS   (United Kingdom)

Author keywords

Limit theorems; Majority games; Simulation; Weighted voting games

Indexed keywords

EID: 29744440641     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2005.06.001     Document Type: Article

References (10)

1. J. Aitchison The Statistical Analysis of Compositional Data 1986 Chapman and Hall London
2. Chang, P.-L., Chua, V.C.H., Machover, M. (2005). L S Penroses limit theorem: Tests by simulation - Appendix: Tables and Figures (PDF); http://www.mysmu.edu/faculty/vincentchua/default.htm and http://www.lse.ac.uk/ vp.
3. D.S. Felsenthal M. Machover The Measurement of Voting Power: Theory and Practice, Problems and Paradoxes 1998 Edward Elgar Cheltenham
4. I. Lindner M. Machover L.S. Penrose's limit theorem: Proof of some special cases Mathematical Social Sciences 47 2004 37-49
5. P.R. Halmos Measure Theory 1950 Van Nostrand Princeton
6. L.S. Penrose The elementary statistics of majority voting Journal of the Royal Statistical Society 109 1946 53-57
7. L.S. Penrose On the Objective Study of Crowd Behaviour 1952 H. K. Lewis and Co London
8. L.S. Shapley M. Shubik A method for evaluating the distribution of power in a committee system American Political Science Review 48 1954 787-792
9. R. Taagepera B. Grofman Mapping the indices of seats-votes disproportionality and inter-election volatility Party Politics 9 2003 659-677
10. Zyczkowski, K., Słomczyński, W., 2004. Voting in the European Union: The square root system of Penrose and a critical point; arXiv.org e-Print archive, http://arxiv.org/abs/cond-mat/0405396.