English

Implementing generating functions to obtain power indices with coalition configuration

Optimization and Control 2015-07-02 v1 Computer Science and Game Theory

Abstract

We consider the Banzhaf-Coleman and Owen power indices for weighted majority games modified by a coalition configuration. We present calculation algorithms of them that make use of the method of generating functions. We programmed the procedure in the open language R and it is illustrated by a real life example taken from social sciences.

Cite

@article{arxiv.1507.00216,
  title  = {Implementing generating functions to obtain power indices with coalition configuration},
  author = {Jorge Rodríguez Veiga and Guido I. Novoa Flores and Balbina V. Casas Méndez},
  journal= {arXiv preprint arXiv:1507.00216},
  year   = {2015}
}

Comments

14 pages, 1 Table

R2 v1 2026-06-22T10:03:44.715Z