DeepAI AI Chat
Log In Sign Up

A note on limit results for the Penrose-Banzhaf index

by   Sascha Kurz, et al.
University of Bayreuth

It is well known that the Penrose-Banzhaf index of a weighted game can differ starkly from corresponding weights. Limit results are quite the opposite, i.e., under certain conditions the power distribution approaches the weight distribution. Here we provide parametric examples that give necessary conditions for the existence of limit results for the Penrose-Banzhaf index.


page 1

page 2

page 3

page 4


Axiomatizations for the Shapley-Shubik power index for games with several levels of approval in the input and output

The Shapley-Shubik index is a specialization of the Shapley value and is...

The CI-index: a new index to characterize the scientific output of researchers

We propose a simple new index, named the CI-index, based on the Choquet ...

An Axiomatization of the Shapley-Shubik Index for Interval Decisions

The Shapley-Shubik index was designed to evaluate the power distribution...

Average Weights and Power in Weighted Voting Games

We investigate a class of weighted voting games for which weights are ra...

Sparsity of weighted networks: measures and applications

A majority of real life networks are weighted and sparse. The present ar...

Unsupervised Fusion Weight Learning in Multiple Classifier Systems

In this paper we present an unsupervised method to learn the weights wit...

Islamic and capitalist economies: Comparison using econophysics models of wealth exchange and redistribution

Islamic and capitalist economies have several differences, the most fund...