scholarly journals Power Indices Expressed in Terms of Minimal Winning Coalitions

2012 ◽  
Author(s):  
Fabien Lange ◽  
Laszlo A. Koczy
Keyword(s):  
Power Indices ◽  
Minimal Winning Coalitions

scholarly journals Computing power indices for weighted voting games via dynamic programming

2021 ◽  
Vol 31 (2) ◽  
Author(s):  
Jochen Staudacher ◽  
László Á. Kóczy ◽  
Izabella Stach ◽  
Jan Filipp ◽  
Marcus Kramer ◽  
...  
Keyword(s):  
Dynamic Programming ◽  
Power Indices ◽  
Efficient Computation ◽  
Unified Framework ◽  
Weighted Voting ◽  
Weighted Voting Games ◽  
The Public ◽  
Voting Games ◽  
Carry Over ◽  
Minimal Winning Coalitions

We study the efficient computation of power indices for weighted voting games using the paradigm of dynamic programming. We survey the state-of-the-art algorithms for computing the Banzhaf and Shapley-Shubik indices and point out how these approaches carry over to related power indices. Within a unified framework, we present new efficient algorithms for the Public Good index and a recently proposed power index based on minimal winning coalitions of smallest size, as well as a very first method for computing Johnston indices for weighted voting games efficiently. We introduce a software package providing fast C++ implementations of all the power indices mentioned in this article, discuss computing times, as well as storage requirements.

scholarly journals Complementary cooperation, minimal winning coalitions, and power indices

2013 ◽  
Vol 470 ◽  
pp. 53-92 ◽  
Author(s):  
Zhigang Cao ◽  
Xiaoguang Yang
Keyword(s):  
Power Indices ◽  
Minimal Winning Coalitions

scholarly journals Power Indices and Minimal Winning Coalitions in Simple Games with Externalities

2015 ◽  
Author(s):  
Joss Marra Alonso-Meijide ◽  
Mikel Alvarez-Mozos ◽  
M. Gloria Fiestras-Janeiro
Keyword(s):  
Power Indices ◽  
Simple Games ◽  
Games With Externalities ◽  
Minimal Winning Coalitions

scholarly journals Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form

2017 ◽  
Vol 26 (6) ◽  
pp. 1231-1245 ◽  
Author(s):  
J. M. Alonso-Meijide ◽  
M. Álvarez-Mozos ◽  
M. G. Fiestras-Janeiro
Keyword(s):  
Partition Function ◽  
Power Indices ◽  
Simple Games ◽  
Function Form ◽  
Partition Function Form ◽  
Minimal Winning Coalitions

scholarly journals Power indices expressed in terms of minimal winning coalitions

2012 ◽  
Vol 41 (2) ◽  
pp. 281-292 ◽  
Author(s):  
Fabien Lange ◽  
László Á. Kóczy
Keyword(s):  
Power Indices ◽  
Minimal Winning Coalitions

scholarly journals Power indices and minimal winning coalitions

2009 ◽  
Vol 34 (1) ◽  
pp. 33-46 ◽  
Author(s):  
Werner Kirsch ◽  
Jessica Langner
Keyword(s):  
Power Indices ◽  
Minimal Winning Coalitions

Limit properties of power indices in a class of representative systems

1989 ◽  
Vol 18 (4) ◽  
pp. 361-388 ◽  
Author(s):  
S. Muto
Keyword(s):  
Power Indices

Voting Power Indices and the Setting of Financial Accounting Standards: Extensions

1982 ◽  
Vol 20 (2) ◽  
pp. 676 ◽  
Author(s):  
Frank H. Selto ◽  
Hugh D. Grove
Keyword(s):  
Accounting Standards ◽  
Financial Accounting ◽  
Power Indices ◽  
Voting Power

Using equations from power indices to analyze figure skating teams

Public Choice ◽  
2017 ◽  
Vol 170 (3-4) ◽  
pp. 231-251 ◽  
Author(s):  
Diana Cheng ◽  
Peter Coughlin
Keyword(s):  
Power Indices ◽  
Figure Skating
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