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We study the setting of single-winner elections with ordinal preferences where candidates might be members of \emph{alliances} (which may correspond to e.g., political parties, factions, or coalitions). However, we do not assume that…

Computer Science and Game Theory · Computer Science 2024-01-30 Grzegorz Pierczyński , Stanisław Szufa

A key question concerning collective decisions is whether a social system can settle on the best available option when some members learn from others instead of evaluating the options on their own. This question is challenging to study, and…

Physics and Society · Physics 2021-08-24 Vicky Chuqiao Yang , Mirta Galesic , Harvey McGuinness , Ani Harutyunyan

We study the design of voting mechanisms in a binary social choice environment where agents' cardinal valuations are independent but not necessarily identically distributed. The mechanism must be anonymous -- the outcome is invariant to…

Theoretical Economics · Economics 2025-08-12 Yaron Azrieli , Ritesh Jain , Semin Kim

This paper presents some fundamental collective choice theory for information system designers, particularly those working in the field of computer-supported cooperative work. This paper is focused on a presentation of Arrow's Possibility…

Multiagent Systems · Computer Science 2007-05-23 Walter Eaves

We define a family of runoff rules that work as follows: voters cast approval ballots over candidates; two finalists are selected; and the winner is decided by majority. With approval-type ballots, there are various ways to select the…

Computer Science and Game Theory · Computer Science 2023-01-27 Théo Delemazure , Jérôme Lang , Jean-François Laslier , Remzi M. Sanver

A key promise of democratic voting is that, by accounting for all constituents' preferences, it produces decisions that benefit the constituency overall. It is alarming, then, that all deterministic voting rules have unbounded distortion:…

Computer Science and Game Theory · Computer Science 2023-05-22 Bailey Flanigan , Ariel D. Procaccia , Sven Wang

Social choice theory is a theoretical framework for analysis of combining individual preferences, interests, or welfare to reach a collective decision or social welfare in some sense. We introduce a new criterion for social choice protocols…

Multiagent Systems · Computer Science 2019-08-19 Mohammad Ali Javidian , Rasoul Ramezanian

We consider a model where a subset of candidates must be selected based on voter preferences, subject to general constraints that specify which subsets are feasible. This model generalizes committee elections with diversity constraints,…

Computer Science and Game Theory · Computer Science 2026-02-10 Piotr Skowron

In an election, we are given a set of voters, each having a preference list over a set of candidates, that are distributed on a social network. We consider a scenario where voters may change their preference lists as a consequence of the…

Social and Information Networks · Computer Science 2020-06-01 Mohammad Abouei Mehrizi , Gianlorenzo D'Angelo

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 an extension of the voter model in which each agent is endowed with an innate preference for one of two states that we term as "truth" or "falsehood". Due to interactions with neighbors, an agent that innately prefers truth can be…

Physics and Society · Physics 2011-05-03 Naoki Masuda , S. Redner

Social choice theory is the study of preference aggregation across a population, used both in mechanism design for human agents and in the democratic alignment of language models. In this study, we propose the representative social choice…

Machine Learning · Computer Science 2025-11-03 Tianyi Qiu

We consider collective decision making when the society consists of groups endowed with voting weights. Each group chooses an internal rule that specifies the allocation of its weight to the alternatives as a function of its members'…

Theoretical Economics · Economics 2024-02-20 Kazuya Kikuchi , Yukio Koriyama

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

This paper is an axiomatic study of consistent approval-based multi-winner rules, i.e., voting rules that select a fixed-size group of candidates based on approval ballots. We introduce the class of counting rules and provide an axiomatic…

Computer Science and Game Theory · Computer Science 2019-11-13 Martin Lackner , Piotr Skowron

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

Consideration was given to a model of social dynamics controlled by successive collective decisions based on the threshold majority procedures. The current system state is characterized by the vector of participants' capitals (utilities).…

Optimization and Control · Mathematics 2009-02-27 V. I. Borzenko , Z. M. Lezina , A. K. Loginov , Ya. Yu. Tsodikova , P. Yu. Chebotarev

Voting power determines the "power" of individuals who cast votes; their power is based on their ability to influence the winning-ness of a coalition. Usually each individual acts alone, casting either all or none of their votes and is…

Computer Science and Game Theory · Computer Science 2013-12-13 Daniel Zwillinger

We study group decision making with changing preferences as a Markov Decision Process. We are motivated by the increasing prevalence of automated decision-making systems when making choices for groups of people over time. Our main…

Multiagent Systems · Computer Science 2020-11-06 Kshitij Kulkarni , Sven Neth

Majority voting is one of the few black-box interventions that can improve a fixed stochastic predictor: repeated access can be cheaper than changing a high-capability model. Classical fixed-competence theory makes this intervention look…

Machine Learning · Computer Science 2026-05-08 Yi Liu