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We study a model of consensus decision making, in which a finite group of Bayesian agents has to choose between one of two courses of action. Each member of the group has a private and independent signal at his or her disposal, giving some…

Statistics Theory · Mathematics 2018-04-24 Elchanan Mossel , Omer Tamuz

During deliberation processes, mediators and facilitators typically need to select a small and representative set of opinions later used to produce digestible reports for stakeholders. In online deliberation platforms, algorithmic selection…

Computers and Society · Computer Science 2026-02-18 Salim Hafid , Manon Berriche , Jean-Philippe Cointet

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

We analyse optimal voting weights in two-tier voting systems. In our model, the overall population (or union) is split in groups (or member states) of different sizes. The individuals comprising the overall population constitute the first…

Probability · Mathematics 2022-09-28 Werner Kirsch , Gabor Toth

Multi-winner approval-based voting has received considerable attention recently. A voting rule in this setting takes as input ballots in which each agent approves a subset of the available alternatives and outputs a committee of…

Computer Science and Game Theory · Computer Science 2024-02-15 Ioannis Caragiannis , Rob LeGrand , Evangelos Markakis , Emmanouil Pountourakis

Since Downs proposed that the act of voting is irrational in 1957, myriad models have been proposed to explain voting and account for observed turnout patterns. We propose a model in which partisans consider both the instrumental and…

Physics and Society · Physics 2020-03-24 Cameron Guage , Feng Fu

We prove that every Condorcet-consistent voting rule can be manipulated by a voter who completely reverses their preference ranking, assuming that there are at least 4 alternatives. This corrects an error and improves a result of [Sanver,…

Computer Science and Game Theory · Computer Science 2017-07-28 Dominik Peters

In this work we generalize standard Decision Theory by assuming that two outcomes can also be incomparable. Two motivating scenarios show how incomparability may be helpful to represent those situations where, due to lack of information,…

Computer Science and Game Theory · Computer Science 2014-04-04 Piero A. Bonatti , Marco Faella , Luigi Sauro

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

The voter model consists of a set of agents whose opinion is a binary variable. At each time step, an agent along with a social neighbor is selected and the agent imitates the social neighbor at the next time step. In this paper, we study a…

Probability · Mathematics 2023-07-06 Hsin-Lun Li

We consider the problem of committee selection from a fixed set of candidates where each candidate has multiple quantifiable attributes. To select the best possible committee, instead of voting for a candidate, a voter is allowed to approve…

Computer Science and Game Theory · Computer Science 2020-08-17 Venkateswara Rao Kagita , Arun K Pujari , Vineet Padmanabhan , Vikas Kumar

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…

Computer Science and Game Theory · Computer Science 2023-10-19 Markus Brill , Stefan Forster , Martin Lackner , Jan Maly , Jannik Peters

In this paper we analyze judgement aggregation problems in which a group of agents independently votes on a set of complex propositions that has some interdependency constraint between them(e.g., transitivity when describing preferences).…

Computer Science and Game Theory · Computer Science 2013-06-20 Ilan Nehama

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

When multiple LLM agents solve the same problem, standard practice compresses each agent's reasoning into a majority vote or layered synthesis, treating agreement as the finish line. We show this is unnecessarily lossy: an LLM aggregator…

Artificial Intelligence · Computer Science 2026-05-29 Shreyas Fadnavis , Praitayini Kanakaraj , Felix Wyss

The Condorcet Jury Theorem or the Miracle of Aggregation are frequently invoked to ensure the competence of some aggregate decision-making processes. In this article we explore an estimation of the prior probability of the thesis predicted…

Theoretical Economics · Economics 2022-06-22 Álvaro Romaniega

In party-approval multiwinner elections the goal is to allocate the seats of a fixed-size committee to parties based on the approval ballots of the voters over the parties. In particular, each voter can approve multiple parties and each…

Computer Science and Game Theory · Computer Science 2022-11-28 Théo Delemazure , Tom Demeulemeester , Manuel Eberl , Jonas Israel , Patrick Lederer

We consider a social choice problem where only a small number of people out of a large population are sufficiently available or motivated to vote. A common solution to increase participation is to allow voters use a proxy, that is, transfer…

Computer Science and Game Theory · Computer Science 2016-11-28 Gal Cohensius , Shie Manor , Reshef Meir , Eli Meirom , Ariel Orda

We study finite-state communication games in which the sender's preference is perturbed by random private idiosyncrasies. Persuasion is generically impossible within the class of statistically independent sender/receiver preferences --…

Theoretical Economics · Economics 2024-03-22 Alistair Barton

We consider a dynamic collective choice problem where a large number of players are cooperatively choosing between multiple destinations while being influenced by the behavior of the group. For example, in a robotic swarm exploring a new…

Systems and Control · Computer Science 2016-06-17 Rabih Salhab , Jerome Le Ny , Roland P. Malhamé
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