Standard Article

Power Indices

  1. Josep Freixas

Published Online: 15 FEB 2011

DOI: 10.1002/9780470400531.eorms0669

Wiley Encyclopedia of Operations Research and Management Science

Wiley Encyclopedia of Operations Research and Management Science

How to Cite

Freixas, J. 2011. Power Indices. Wiley Encyclopedia of Operations Research and Management Science. .

Author Information

  1. Technical University of Catalonia, Department of Applied Mathematics 3 and High Engineering School (Campus of Manresa), Madrid, Spain

Publication History

  1. Published Online: 15 FEB 2011

Abstract

This paper deals with simple games, that is a voting situation in which a single alternative, such as a bill or amendment, is pitted against the status quo. In these systems, each voter responds with a vote “yea” or “nay.” A simple game is simply a set of rules that specifies exactly which collections of “yea” votes yield passage of the issue at hand. After studying a little the mathematical structure of simple games, we proceed to introduce power, which is a central concept in political sciences. We revise some well-known power indices as well as some existent background known in the literature.

Keywords:

  • games;
  • coalition;
  • power indices;
  • axiomatization;
  • semivalues