Proportional Representation in Approval-based Committee Voting and Beyond

TL;DR

This paper surveys recent developments in axioms and rules for achieving proportional representation in approval-based committee voting, highlighting their potential for practical collective decision-making.

Contribution

It provides a comprehensive overview of recent theoretical advances in axioms and rules for proportional representation in approval-based committee voting.

Findings

Summarizes recent axioms and rules for PR in committee voting

Highlights potential applications in collective decision-making

Identifies open problems and future research directions

Abstract

Proportional representation (PR) is one of the central principles in voting. Elegant rules with compelling PR axiomatic properties have the potential to be adopted for several important collective decision making settings. I survey some recent ideas and results on axioms and rules for proportional representation in committee voting.