# Generalizations of Divisor Methods to Approval and Score Voting

## TL;DR

This paper extends classical divisor methods like Sainte-Laguë and D'Hondt to approval voting systems, exploring their theoretical foundations and potential generalizations to score voting.

## Contribution

It introduces new approval voting methods based on divisor principles and discusses their possible extensions to score voting systems.

## Key findings

- Proposes approval voting methods generalizing Sainte-Laguë and D'Hondt
- Analyzes theoretical properties of these methods
- Discusses potential for score voting generalizations

## Abstract

We introduce several electoral systems for multi-winner elections with approval ballots, generalizing the classical methods of Sainte-Lagu\"e and D'Hondt. Our approach is based on the works of Phragm\'en and Thiele. In the last section we discuss possible generalizations to score voting.