Voting Power : A Generalised Framework

TL;DR

This paper introduces a measure theoretic framework for Voting Power Theory, simplifying various indices into three core probabilities, applicable across all voting games and decision rules.

Contribution

It presents a unified, generalizable framework that replaces multiple voting power measures with three fundamental probabilities, broadening applicability.

Findings

Framework simplifies voting power measurement

Universal applicability to all voting games

Reduces complexity of existing indices

Abstract

This paper examines an area of Game Theory called Voting Power Theory. With the adoption of a measure theoretic framework it argues that the many different indices and tools currently used for measuring voting power can be replaced by just three simple probabilities. The framework is sufficiently general to be applicable to every conceivable type of voting game, and every possible decision rule.