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We introduce the incremental voter model (IVM), a discrete-opinion multi-agent system where agents undergo step-wise transitions biased by the opinion of a randomly selected persuader. Our incremental voter model comprises a large…

Multiagent Systems · Computer Science 2026-05-29 Fei Cao , Xiaoqian Gong

Each voter $i \in I$ has $\alpha_i$ cards that (s)he distributes among the candidates $a \in A$ as a measure of approval. One (or several) candidate(s) who received the maximum number of cards is (are) elected. We provide polynomial…

Combinatorics · Mathematics 2020-10-30 Endre Boros , Ondrej Cepek , Vladimir Gurvich , Kazuhisa Makino

Image-Text Retrieval (ITR) is essentially a ranking problem. Given a query caption, the goal is to rank candidate images by relevance, from large to small. The current ITR datasets are constructed in a pairwise manner. Image-text pairs are…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Zheng Li , Caili Guo , Xin Wang , Zerun Feng , Yanjun Wang

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,…

Computer Science and Game Theory · Computer Science 2024-08-21 Aviram Imber , Jonas Israel , Markus Brill , Benny Kimelfeld

Inverse reinforcement learning (IRL) is an imitation learning approach to learning reward functions from expert demonstrations. Its use avoids the difficult and tedious procedure of manual reward specification while retaining the…

Machine Learning · Computer Science 2024-03-25 Daulet Baimukashev , Gokhan Alcan , Ville Kyrki

Sampling efficiency is a key bottleneck in reinforcement learning with verifiable rewards. Existing group-based policy optimization methods, such as GRPO, allocate a fixed number of rollouts for all training prompts. This uniform allocation…

Machine Learning · Computer Science 2026-03-06 Hieu Trung Nguyen , Bao Nguyen , Wenao Ma , Yuzhi Zhao , Ruifeng She , Viet Anh Nguyen

In this paper, we study voting rules on the interval domain, where the alternatives are arranged according to an externally given strict total order and voters report intervals of this order to indicate the alternatives they support. For…

Theoretical Economics · Economics 2025-09-08 Patrick Lederer

We introduce the reputational voter model (RVM) to account for the time-varying abilities of individuals to influence their neighbors. To understand of the RVM, we first discuss the fitness voter model (FVM), in which each voter has a fixed…

Physics and Society · Physics 2019-06-25 D. Bhat , S. Redner

In approval-based committee (ABC) voting, the goal is to choose a subset of predefined size of the candidates based on the voters' approval preferences over the candidates. While this problem has attracted significant attention in recent…

Computer Science and Game Theory · Computer Science 2023-12-15 Martin Bullinger , Chris Dong , Patrick Lederer , Clara Mehler

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

We propose a new single-winner voting system using ranked ballots: Stable Voting. The motivating principle of Stable Voting is that if a candidate A would win without another candidate B in the election, and A beats B in a head-to-head…

Theoretical Economics · Economics 2023-02-14 Wesley H. Holliday , Eric Pacuit

The Probability Ranking Principle (PRP) has been considered as the foundational standard in the design of information retrieval (IR) systems. The principle requires an IR module's returned list of results to be ranked with respect to the…

Information Retrieval · Computer Science 2024-05-09 Kai Zheng , Haijun Zhao , Rui Huang , Beichuan Zhang , Na Mou , Yanan Niu , Yang Song , Hongning Wang , Kun Gai

An index is a function that given an election outputs a value between 0 and 1, indicating the extent to which this election has a particular feature. We seek indices that capture agreement, diversity, and polarization among voters in…

Computer Science and Game Theory · Computer Science 2026-05-15 Piotr Faliszewski , Jitka Mertlová , Krzysztof Sornat , Stanisław Szufa , Tomasz Wąs

Invariant risk minimization (IRM) is an arising approach to generalize invariant features to different environments in machine learning. While most related works focus on new IRM settings or new application scenarios, the mathematical…

Machine Learning · Computer Science 2024-05-20 Zhao-Rong Lai , Weiwen Wang

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

Approval-based committee voting has received significant attention in the social choice community. Among the studied rules, Thiele rules, and especially Proportional Approval Voting (PAV), stand out for desirable properties such as…

Artificial Intelligence · Computer Science 2026-05-11 Dimitris Avramidis , Alexandra Lassota , Ulrike Schmidt-Kraepelin , Adrian Vetta

The goal of multi-winner elections is to choose a fixed-size committee based on voters' preferences. An important concern in this setting is representation: large groups of voters with cohesive preferences should be adequately represented…

Computer Science and Game Theory · Computer Science 2025-12-10 Luis Sánchez-Fernández , Edith Elkind , Martin Lackner , Norberto Fernández , Jesús A. Fisteus , Pablo Basanta Val , Piotr Skowron

A set of $2^n$ candidates is presented to a commission. At every round, each member of this commission votes by pairwise comparison, and one-half of the candidates is deleted from the tournament, the remaining ones proceeding to the next…

Combinatorics · Mathematics 2025-12-23 Bernard De Baets , Emilio De Santis

Algorithms for resolving majority cycles in preference aggregation have been studied extensively in computational social choice. Several sophisticated cycle-resolving methods, including Tideman's Ranked Pairs, Schulze's Beat Path, and…

Computer Science and Game Theory · Computer Science 2025-12-30 Wesley H. Holliday , Milan Mossé , Chase Norman , Eric Pacuit , Cynthia Wang

In this paper we introduce an iterative voting algorithm and then use it to obtain a rating method which is very robust against collusion attacks as well as random and biased raters. Unlike the previous iterative methods, our method is not…

Information Retrieval · Computer Science 2014-06-12 Mohammad Allahbakhsh , Aleksandar Ignjatovic
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