Mathematical Properties of the Banzhaf Power Index

10.7249/p6016 ◽  
1977 ◽  
Keyword(s):  
Power Index ◽  
Mathematical Properties ◽  
Banzhaf Power Index

Mathematical Properties of the Banzhaf Power Index

1979 ◽  
Vol 4 (2) ◽  
pp. 99-131 ◽  
Author(s):  
Pradeep Dubey ◽  
Lloyd S. Shapley
Keyword(s):  
Power Index ◽  
Mathematical Properties ◽  
Banzhaf Power Index

The Banzhaf power index for political games

1982 ◽  
Vol 2 (3) ◽  
pp. 299-315 ◽  
Author(s):  
Prakash P. Shenoy
Keyword(s):  
Power Index ◽  
Banzhaf Power Index

scholarly journals The power ranking of the members of the Agricultural Committee of the European Parliament

2020 ◽  
Vol 47 (5) ◽  
pp. 1897-1919
Author(s):  
Imre Fertő ◽  
László Á Kóczy ◽  
Attila Kovács ◽  
Balázs R Sziklai
Keyword(s):  
Member State ◽  
Case Studies ◽  
Power Index ◽  
European Parliament ◽  
Voting Power ◽  
Banzhaf Power Index

Abstract We aim to identify the most influential members of the Agricultural Committee of the European Parliament (COMAGRI). Unlike previous studies that were based on case studies or interviews with stakeholders, we analyse the voting power of MEPs using a spatial Banzhaf power index. We identify critical members: members whose votes are necessary to form winning coalitions. We found that rapporteurs, EP group coordinators and MEPs from countries with high relative Committee representations, such as Ireland, Poland or Romania are powerful actors. Italy emerges as the most influential member state, while France seems surprisingly weak.

scholarly journals The Banzhaf power index for ternary bicooperative games

2010 ◽  
Vol 158 (9) ◽  
pp. 967-980 ◽  
Author(s):  
J.M. Bilbao ◽  
J.R. Fernández ◽  
N. Jiménez ◽  
J.J. López
Keyword(s):  
Power Index ◽  
Banzhaf Power Index

scholarly journals Valuation of voting scheme changes the cases of Electrolux AB and SKF AB

2004 ◽  
Vol 1 (4) ◽  
pp. 131-143 ◽  
Author(s):  
Yinghong Chen
Keyword(s):  
Information Structure ◽  
Power Index ◽  
Economic Effect ◽  
Share Price ◽  
Market Model ◽  
Clinical Approach ◽  
Market Prices ◽  
Banzhaf Power Index ◽  
Study Methodology ◽  
Voting Scheme

This paper studies the effects of the change of voting scheme on the market prices of Electrolux and SKF AB using standard event study methodology and a clinical approach. The economic effect of the voting scheme change is assessed using the market model. We investigate the loss of control due to the change of the voting scheme. The degree of the change of power is calculated using Shapley power index (SPI) and Banzhaf power index. There is a wealth transfer from the high vote shareholders to low vote shareholders in the process since in both cases the high power shareholders required no compensation. We expect that share price to have a positive response to such an announcement due to the reduced power discount and corporate governance improvement. The magnitude of the response on the event day depends also on the information structure of the period leading to the announcement.

scholarly journals Digitalizing 360 Degree Employee Competency using Banzhaf Power Index and CDF

2019 ◽  
Vol 8 (4S3) ◽  
pp. 338-345
Keyword(s):  
Wind Energy ◽  
Power Index ◽  
Blind Spot ◽  
Direct Reports ◽  
Energy Company ◽  
Self Rating ◽  
Banzhaf Power Index ◽  
Complete Computation ◽  
Document Format

Traditionally, 360 degree evaluation of employee competency has been done using ratings given by Subordinates or Direct Reports, Peers, Manager and Self. Based on the rating by all rating group, the competency of the employee is determined. The gap between self-rating and ratings of all other group determines whether an employee has hidden strength or has blind spot in each competency variable. However, whenever larger number of subordinates or peers rates an employee, there is inherent bias and the employee’s overall competency rating can be low if the larger group holds grudge against the employee. To avoid bias and determine true rating, this paper proposes innovative use of Banzhaf Power Index. The complete computation and digitalization of Banzhaf Power Index for Chennai based Wind Energy Company is carried out and presented in this paper. The interactive Wolfram Computable Document Format (CDF) has also been created for wider use by personnel managers of other companies.

scholarly journals The Banzhaf power index on convex geometries

1998 ◽  
Vol 36 (2) ◽  
pp. 157-173 ◽  
Author(s):  
J.M. Bilbao ◽  
A. Jiménez ◽  
J.J. López
Keyword(s):  
Power Index ◽  
Banzhaf Power Index ◽  
Convex Geometries
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