An Asymmetric Shapley–Shubik Power Index

作者: Xingwei Hu

DOI: 10.1007/S00182-006-0011-Z

关键词:

摘要: This paper extends the traditional “pivoting” and “swing” schemes in Shapley–Shubik (S-S) power index Banzhaf to case of “blocking”. Voters are divided into two groups: those who vote for bill against bill. The uncertainty division is described by a probability distribution. We derive S-S index, based on priori ignorance about random bipartition.

参考文章(16)
Arthur Q. Frank, Lloyd S. Shapley, The Distribution of Power in the U.S. Supreme Court RAND Corporation. ,(1981)
P. D. Straffin, M. D. Davis, S. J. Brams, Power and Satisfaction in an Ideologically Divided Voting Body Physica, Heidelberg. pp. 239- 255 ,(1981) , 10.1007/978-3-662-00411-1_18
Steven J. Brams, Game Theory and Politics ,(1975)
Lloyd S. Shapley, A Value for n-person Games Contributions to the Theory of Games. pp. 307- 317 ,(1952) , 10.1017/CBO9780511528446.003
Herbert A. Simon, R. Duncan Luce, Howard Raiffa, GAMES AND DECISIONS; INTRODUCTION AND CRITICAL SURVEY. American Sociological Review. ,vol. 23, pp. 342- ,(1958) , 10.2307/2089260
L. S. Shapley, Simple games: An outline of the descriptive theory Behavioral Science. ,vol. 7, pp. 59- 66 ,(2007) , 10.1002/BS.3830070104
Philip D. Straffin, Homogeneity, independence, and power indices Public Choice. ,vol. 30, pp. 107- 118 ,(1977) , 10.1007/BF01718820
L. S. Shapley, Martin Shubik, A Method for Evaluating the Distribution of Power in a Committee System American Political Science Review. ,vol. 48, pp. 787- 792 ,(1954) , 10.2307/1951053
Dan S. Felsenthal, Mosh� Machover, Alternative forms of the Shapley value and the Shapley-Shubik index Public Choice. ,vol. 87, pp. 315- 318 ,(1996) , 10.1007/BF00118651