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Suppose we are given a family of choice functions on pairs from a given finite set. The set is considered as a set of alternatives (say candidates for an office) and the functions as potential "voters". The question is, what choice…

Combinatorics · Mathematics 2014-03-11 Paul Larson , Nick Matteo , Saharon Shelah

Consider the decision-making setting where agents elect a panel by expressing both positive and negative preferences. Prominently, in constitutional AI, citizens democratically select a slate of ethical preferences on which a foundation…

Computer Science and Game Theory · Computer Science 2025-03-05 Sonja Kraiczy , Georgios Papasotiropoulos , Grzegorz Pierczyński , Piotr Skowron

In this paper we study several monotonicity axioms in approval-based multi-winner voting rules. We consider monotonicity with respect to the support received by the winners and also monotonicity in the size of the committee. Monotonicity…

Computer Science and Game Theory · Computer Science 2019-02-25 Luis Sánchez-Fernández , Jesús A. Fisteus

We study voting rules with respect to how they allow or limit a majority from dominating minorities: whether a voting rule makes a majority powerful, and whether minorities can veto the candidates they do not prefer. For a given voting…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Y. Kondratev , Alexander S. Nesterov

We consider the problem of predicting winners in elections, for the case where we are given complete knowledge about all possible candidates, all possible voters (together with their preferences), but where it is uncertain either which…

Computer Science and Game Theory · Computer Science 2016-03-27 Krzysztof Wojtas , Krzysztof Magiera , Tomasz Miąsko , Piotr Faliszewski

In problems involving the allocation of a single non-disposable commodity, we study rules defined on a general domain of preferences requiring only that each preference exhibit a unique global maximum. Our focus is on rules that satisfy a…

Theoretical Economics · Economics 2025-12-18 R. Pablo Arribillaga , Agustin G. Bonifacio

In approval-based multiwinner voting, voters express approval preferences over a set of candidates, and the goal is to return a winning committee. This model captures a broad range of subset selection problems under preferences. Prior work…

Computer Science and Game Theory · Computer Science 2026-04-28 Niclas Boehmer , Luca Kreisel , Jannik Peters

It is important to study how strategic agents can affect the outcome of an election. There has been a long line of research in the computational study of elections on the complexity of manipulative actions such as manipulation and bribery.…

Computer Science and Game Theory · Computer Science 2023-07-24 Zack Fitzsimmons , Edith Hemaspaandra

Aggregating agent preferences into a collective decision is an important step in many problems (e.g., hiring, elections, peer review) and across areas of computer science (e.g., reinforcement learning, recommender systems). As Social Choice…

Multiagent Systems · Computer Science 2025-09-12 Leonardo Matone , Ben Abramowitz , Ben Armstrong , Avinash Balakrishnan , Nicholas Mattei

We propose a framework for strategic voting when a voter may lack knowledge about the preferences of other voters, or about other voters' knowledge about her own preference. In this setting we define notions of manipulation, equilibrium,…

Computer Science and Game Theory · Computer Science 2021-11-30 Zeinab Bakhtiari , Hans van Ditmarsch , Abdallah Saffidine

Attribute-based methods, such as attribute-based access control and attribute-based encryption, make decisions based on attributes possessed by a subject rather than the subject's identity. While this allows for anonymous authorization --…

Cryptography and Security · Computer Science 2023-10-10 Erin Lanus , Charles J. Colbourn , Gail-Joon Ahn

Multi-winner voting is the process of selecting a fixed-size set of representative candidates based on voters' preferences. It occurs in applications ranging from politics (parliamentary elections) to the design of modern computer…

Computer Science and Game Theory · Computer Science 2022-11-22 Martin Lackner , Piotr Skowron

In approval voting, individuals vote for all platforms that they find acceptable. In this situation it is natural to ask: When is agreement possible? What conditions guarantee that some fraction of the voters agree on even a single…

Combinatorics · Mathematics 2021-08-30 Kristen Mazur , Mutiara Sondjaja , Matthew Wright , Carolyn Yarnall

Many applications, such as content moderation and recommendation, require reviewing and scoring a large number of alternatives. Doing so robustly is however very challenging. Indeed, voters' inputs are inevitably sparse: most alternatives…

Computer Science and Game Theory · Computer Science 2024-01-26 Youssef Allouah , Rachid Guerraoui , Lê-Nguyên Hoang , Oscar Villemaud

In social choice theory with ordinal preferences, a voting method satisfies the axiom of positive involvement if adding to a preference profile a voter who ranks an alternative uniquely first cannot cause that alternative to go from winning…

Theoretical Economics · Economics 2025-04-01 Wesley H. Holliday

A simple and practical method for achieving everlasting privacy in e-voting systems, without relying on advanced cryptographic techniques, is to use anonymous voter credentials. The simplicity of this approach may, however, create some…

Cryptography and Security · Computer Science 2025-11-14 Tomasz Truderung

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

Computer Science and Game Theory · Computer Science 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

In multiagent settings where the agents have different preferences, preference aggregation is a central issue. Voting is a general method for preference aggregation, but seminal results have shown that all general voting protocols are…

Computer Science and Game Theory · Computer Science 2009-09-29 Vincent Conitzer , Tuomas Sandholm

By the Gibbard--Satterthwaite theorem, every reasonable voting rule for three or more alternatives is susceptible to manipulation: there exist elections where one or more voters can change the election outcome in their favour by…

Computer Science and Game Theory · Computer Science 2017-07-28 Edith Elkind , Umberto Grandi , Francesca Rossi , Arkadii Slinko

Voting is a very general method of preference aggregation. A voting rule takes as input every voter's vote (typically, a ranking of the alternatives), and produces as output either just the winning alternative or a ranking of the…

Computer Science and Game Theory · Computer Science 2012-07-09 Vincent Conitzer , Tuomas Sandholm