Ready for the design of voting rules?

TL;DR

This paper reviews progress and open questions in the design of fair voting rules, focusing on the unresolved inverse problem and proposing future research directions.

Contribution

It summarizes existing achievements and formulates explicit open questions and conjectures regarding the inverse problem in voting rule design.

Findings

Summary of current achievements in voting rule design

Identification of unresolved open questions and conjectures

Framework for future research in the inverse problem

Abstract

The design of fair voting rules has been addressed quite often in the literature. Still, the so-called inverse problem is not entirely resolved. We summarize some achievements in this direction and formulate explicit open questions and conjectures.