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Markus Brill

17 accepted papers

2026

Cycles in Liquid Democracy: A Game-Theoretic Justification

IJCAI 2026

A common criticism of liquid democracy within the relevant academic literature is that delegation cycles can occur, seemingly resulting in unused voting power. Yet, practitioners argue that delegation cycles are not only unproblematic but are even formed intentionally by participants. To bring theor

Cited by 0Scholar
2025

Proportional Representation in Practice: Quantifying Proportionality in Ordinal Elections

AAAI 2025technical

Proportional representation plays a crucial role in electoral systems. In ordinal elections, where voters rank candidates based on their preferences, the Single Transferable Vote (STV) is the most widely used proportional voting method. STV is considered proportional because it satisfies an axiom re…

2024

Approval-Based Committee Voting in Practice: A Case Study of (over-)Representation in the Polkadot Blockchain

AAAI 2024technical

We provide the first large-scale data collection of real-world approval-based committee elections. These elections have been conducted on the Polkadot blockchain as part of their Nominated Proof-of-Stake mechanism and contain around one thousand candidates and tens of thousands of (weighted) voters…

2024

Completing Priceable Committees: Utilitarian and Representation Guarantees for Proportional Multiwinner Voting

AAAI 2024technical

When selecting committees based on preferences of voters, a variety of different criteria can be considered. Two natural objectives are maximizing the utilitarian welfare (the sum of voters' utilities) and coverage (the number of represented voters) of the selected committee. Previous work has studi…

Cited by 6SourcePDFScholar
2024

Spatial Voting with Incomplete Voter Information

AAAI 2024technical

We consider spatial voting where candidates are located in the Euclidean d-dimensional space, and each voter ranks candidates based on their distance from the voter's ideal point. We explore the case where information about the location of voters' ideal points is incomplete: for each dimension, we a…

Cited by 1SourcePDFScholar
2023

Multiwinner Voting with Possibly Unavailable Candidates

AAAI 2023technical

Selecting a committee that meets diversity and proportionality criteria is a challenging endeavor that has been studied extensively in recent years. This task becomes even more challenging when some of the selected candidates decline the invitation to join the committee. Since the unavailability of…

Cited by 6SourcePDFScholar
2023

Proportionality Guarantees in Elections with Interdependent Issues

IJCAI 2023poster

We consider a multi-issue election setting over a set of possibly interdependent issues with the goal of achieving proportional representation of the views of the electorate. To this end, we employ a proportionality criterion suggested recently in the literature, that guarantees fair representation…

Cited by 10SourcePDFScholar
2023

Proportionality in Approval-Based Participatory Budgeting

AAAI 2023technical

The ability to measure the satisfaction of (groups of) voters is a crucial prerequisite for formulating proportionality axioms in approval-based participatory budgeting elections. Two common -- but very different -- ways to measure the satisfaction of a voter consider (i) the number of approved proj…

Cited by 28SourcePDFScholar
2022

Approval-Based Committee Voting under Incomplete Information

AAAI 2022technical

We investigate approval-based committee voting with incomplete information about the approval preferences of voters. We consider several models of incompleteness where each voter partitions the set of candidates into approved, disapproved, and unknown candidates, possibly with ordinal preference con…

Cited by 9SourcePDFScholar
2022

Individual Representation in Approval-Based Committee Voting

AAAI 2022technical

When selecting multiple candidates based on approval preferences of agents, the proportional representation of agents' opinions is an important and well-studied desideratum. Existing criteria for evaluating the representativeness of outcomes focus on groups of agents and demand that sufficiently lar…

Cited by 17SourcePDFScholar
2022

Liquid Democracy with Ranked Delegations

AAAI 2022technical

Liquid democracy is a novel paradigm for collective decision-making that gives agents the choice between casting a direct vote or delegating their vote to another agent. We consider a generalization of the standard liquid democracy setting by allowing agents to specify multiple potential delegates,…

2021

Margin of Victory in Tournaments: Structural and Experimental Results

AAAI 2021technical

Tournament solutions are standard tools for identifying winners based on pairwise comparisons between competing alternatives. The recently studied notion of margin of victory (MoV) offers a general method for refining the winner set of any given tournament solution, thereby increasing the discrimina…

2021

The Maximin Support Method: An Extension of the D’Hondt Method to Approval-Based Multiwinner Elections

AAAI 2021technical

We propose the maximin support method, a novel extension of the D'Hondt apportionment method to approval-based multiwinner elections. The maximin support method is a sequential procedure that aims to maximize the support of the least supported elected candidate. It can be computed efficiently and sa…

Cited by 16SourcePDFScholar