Talk:Banzhaf power index

[Untitled]

I'm not quite sure how to write the math part. Someone with a little bit more math writing skills want to take a shot at it? --Zoop 16:55, 24 August 2005 (UTC)

History

The calculation is wrong. BC is not a majority coalition. I am removing this section, rather then redo it. No Info is better then wrong info! —Preceding unsigned comment added by 132.246.2.25 (talk) 16:23, 20 September 2007 (UTC)

My Bad. Added it back in Calc was correct after all!

References

Need the complete reference for Straffin Koczy 16:04, 30 July 2007 (UTC).

Indirect voting systems

I think we need another section to explain the voting powers of citizens that elect delegates who then have to vote en bloc, as for example in the Electoral College (United States). I think, this is an important application as it also explains the fairness of the Penrose method for such systems. There, the voting powers (i.e, the Banzhaf power index) of people from polities of different sizes are equal if the delegations of each polity receive their voting weight according to the square root of the population they represent and if the vote en bloc. Obviously, the voting powers of the delegations are not equal then but reciprocal to the voting power of the people in their respective elections for the delegations.

In contrast to this 2-stage application, the article currently deals with 1-stage systems only, as applies to the Banzhaf indexes of people in referendums or the Banzhaf indexes of delegations in parliaments. It would be interesting to show how these indexes translate to the indexes of the people electing the delegations.

Please comment on this endeavor before I start introducing the new section proposed here. Tomeasy _{T C} 23:24, 26 April 2011 (UTC)

I'd love to see this added! Closed Limelike Curves (talk) 00:49, 16 March 2024 (UTC)

External links modified

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External links modified

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External links

Some things just grow during incremental edits and sometimes get out of hand. The "External links" section, one of the optional appendices, was expanded to 12 entries, organized into three subsections. Three seems to be an acceptable number, and of course, everyone has their favorite to try to add for a fourth. Consensus needs to determine this. A tag indicates concerns.

However, none is needed for article promotion.

Some links may be included in WP:ELNO, or What Wikipedia is not (policy) such as WP:NOTREPOSITORY or WP:NOTGUIDE.

• WP:ELDEAD may apply.
• In some cases ELCITE applies: Template:Tq. Others, listed below:
• ELpoints #3) states: Template:Tq
• LINKFARM states: Template:Tq
• ELMIN: Template:Tq.

The External links guideline This page in a nutshell: Template:Tq

Second paragraph, Template:Tq

• • Please also note:
• WP:ELBURDEN: Template:Tq. Please do not add back more links without consensus. Simple solution to facilitate career maintenance tag. Move links here for discussion.

Moved links:

• Computer Algorithms for Voting Power Analysis Web-based algorithms for voting power analysis
• Power Index Calculator Computes various indices for (multiple) weighted voting games online. Includes some examples.
• Computing Banzhaf power index and Shapley–Shubik power index with Python and R (by Frank Huettner)
• Banzhaf Power Index at the Wolfram Demonstrations Project --- Otr500 (talk) 07:21, 16 June 2025 (UTC)