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People care about decision outcomes and how decisions get made, both when making decisions and reflecting on decisions. But formalizing the full range of normative concerns that drive decisions is an open challenge. We introduce Axiomatic…

Artificial Intelligence · Computer Science 2026-02-11 Ben Abramowitz , Nicholas Mattei

Voting is the aggregation of individual preferences in order to select a winning alternative. Selection of a winner is accomplished via a voting rule, e.g., rank-order voting, majority rule, plurality rule, approval voting. Which voting…

Theoretical Economics · Economics 2020-05-18 Anne Carlstein

An important aspect of AI design and ethics is to create systems that reflect aggregate preferences of the society. To this end, the techniques of social choice theory are often utilized. We propose a new social choice function motivated by…

Multiagent Systems · Computer Science 2021-03-02 Gergei Bana , Wojciech Jamroga , David Naccache , Peter Y. A. Ryan

In this paper we address the problem of electing a committee among a set of $m$ candidates and on the basis of the preferences of a set of $n$ voters. We consider the approval voting method in which each voter can approve as many candidates…

Optimization and Control · Mathematics 2017-07-31 Diego Ponce , Justo Puerto , Federica Ricca , Andrea Scozzari

Committee selection with diversity or distributional constraints is a ubiquitous problem. However, many of the formal approaches proposed so far have certain drawbacks including (1) computationally intractability in general, and (2)…

Artificial Intelligence · Computer Science 2018-04-02 Haris Aziz

The Concealed Voter Model (CVM) is an extension of the original Voter Model, where two different opinions compete until consensus is reached. In the CVM, agents express an opinion not only publicly, they also hold a private opinion, which…

Statistical Mechanics · Physics 2020-06-24 Rosalba Garcia-Millan

May's Theorem (1952), a celebrated result in social choice, provides the foundation for majority rule. May's crucial assumption of symmetry, often thought of as a procedural equity requirement, is violated by many choice procedures that…

Theoretical Economics · Economics 2020-09-01 Laurent Bartholdi , Wade Hann-Caruthers , Maya Josyula , Omer Tamuz , Leeat Yariv

Like many other voting systems, Majority Judgement suffers from the weaknesses of the underlying mathematical model: Elections as problem of choice or ranking. We show how the model can be enhanced to take into account the complete process…

Computer Science and Game Theory · Computer Science 2023-07-07 Friedemann Kemm

Despite its rise as a prominent solution to the data inefficiency of today's machine learning models, self-supervised learning has yet to be studied from a purely multi-agent perspective. In this work, we propose that aligning internal…

Artificial Intelligence · Computer Science 2022-09-23 Julius Taylor , Eleni Nisioti , Clément Moulin-Frier

This paper deals with interactions between committee members as they rank a large list of applicants for a given position and eventually reach consensus. We will see that for a natural deterministic model the ranking can be described by…

Analysis of PDEs · Mathematics 2015-08-18 Tobias Holck Colding , William P. Minicozzi

The voter model is a simple agent-based model to mimic opinion dynamics in social networks: a randomly chosen agent adopts the opinion of a randomly chosen neighbour. This process is repeated until a consensus emerges. Although the basic…

Statistical Mechanics · Physics 2018-06-06 Michael T. Gastner , Beáta Oborny , Máté Gulyás

We study proportional representation in the framework of temporal voting with approval ballots. Prior work adapted basic proportional representation concepts -- justified representation (JR), proportional JR (PJR), and extended JR (EJR) --…

Computer Science and Game Theory · Computer Science 2025-05-29 Bradley Phillips , Edith Elkind , Nicholas Teh , Tomasz Wąs

Over the past few years, the (parameterized) complexity landscape of constructive control for many prevalent approval-based multiwinner voting (ABMV) rules has been explored. We expand these results in two directions. First, we study…

Computer Science and Game Theory · Computer Science 2023-07-04 Yongjie Yang

Many online communities present user-contributed responses such as reviews of products and answers to questions. User-provided helpfulness votes can highlight the most useful responses, but voting is a social process that can gain momentum…

Machine Learning · Computer Science 2016-11-03 Moontae Lee , Seok Hyun Jin , David Mimno

We study single-candidate voting embedded in a metric space, where both voters and candidates are points in the space, and the distances between voters and candidates specify the voters' preferences over candidates. In the voting, each…

Computer Science and Game Theory · Computer Science 2019-11-28 Xujin Chen , Minming Li , Chenhao Wang

Social choice becomes easier on restricted preference domains such as single-peaked, single-crossing, and Euclidean preferences. Many impossibility theorems disappear, the structure makes it easier to reason about preferences, and…

Computer Science and Game Theory · Computer Science 2025-03-25 Edith Elkind , Martin Lackner , Dominik Peters

Transitive proxy voting (or "liquid democracy") is a novel form of collective decision making, often framed as an attractive hybrid of direct and representative democracy. Although the ideas behind liquid democracy have garnered widespread…

Computer Science and Game Theory · Computer Science 2023-07-07 Jacqueline Harding

Committee scoring voting rules are multiwinner analogues of positional scoring rules which constitute an important subclass of single-winner voting rules. We identify several natural subclasses of committee scoring rules, namely, weakly…

Computer Science and Game Theory · Computer Science 2018-02-20 Piotr Faliszewski , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

We propose a new single-winner election method ("Schulze method") and prove that it satisfies many academic criteria (e.g. monotonicity, reversal symmetry, resolvability, independence of clones, Condorcet criterion, k-consistency,…

Computer Science and Game Theory · Computer Science 2025-10-28 Markus Schulze

A most debated topic of the last years is whether simple statistical physics models can explain collective features of social dynamics. A necessary step in this line of endeavour is to find regularities in data referring to large scale…

Physics and Society · Physics 2009-11-13 Santo Fortunato , Claudio Castellano