# Effectiveness, Decisiveness and Success in Weighted Voting Systems

## TL;DR

This paper compares the concepts of decisiveness and success in weighted voting systems, analyzing their differences and computing success rates under specific measures like Shapley-Shubik and Common Belief Models.

## Contribution

It introduces a detailed comparison of decisiveness and success, and provides explicit success rate calculations for key voting measures.

## Key findings

- Success rates computed for Shapley-Shubik measure
- Analysis of success in Common Belief Models
- Clarification of decisiveness versus success concepts

## Abstract

We compare the notions "Decisiveness" and "Success" for certain weighted voting systems and various underlying voting measures. In particular, we compute the success rate for the Shapley-Shubik meassure and, more generally, for Common Belief Models.