Shapley-Shubik Power Index Calculator

The applet below is a calculator for the Shapley-Shubik Power Index. The instructions are built into the applet. The applet supplies six real world examples (Electoral College in the years 1990 and 2000, the UN Security Council, and the European Union in 1995, 2004, and 2007, with 15, 25, and 27 member countries, respectively) and provides means for entering custom distributions. The instructions for using the applet are available on a separate page and can also be read under the first tab directly in the applet.

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet.

What if applet does not run?

(This applet was created to accompany Excursions in Modern Mathematics, Seventh Edition, by Peter Tannenbaum © Pearson Education. Reproduced with permission. Two earlier versions of the applet are still available online at and The older versions combine Banzhaf's and Shapley-Shubik indices in a single applet.)

The method of calculation of the Shapley-Shubik index is annunciated elsewhere.

Related material

  • The Constitution and Paradoxes
  • Student's Social Choice
  • Adams' Apportionment Method
  • Banzhaf Power Index Calculator
  • Fair Division: Method of Lone Divider
  • Fair Division: Method of Markers
  • Fair Division: Method of Sealed Bids
  • Fair Division: Method of Sealed Bids II
  • Fast Power Indices
  • Five Methods of Apportionment
  • Four Voting Methods
  • Hamilton's Apportionment Method
  • Huntington-Hill Apportionment Method
  • Jefferson's Apportionment Method
  • Method of Markers II
  • Voting Methods and Social Choice
  • Webster's Apportionment Method
  • Weighted Voting and Power Indices
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    Copyright © 1996-2018 Alexander Bogomolny