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Are there voting methods which (i) give everyone, including minorities, an equal share of effective power even if voters act strategically, (ii) promote consensus rather than polarization and inequality, and (iii) do not favour the status…

General Economics · Economics 2020-06-12 Jobst Heitzig , Forest W. Simmons

In this paper we explore the application of methods for classical judgment aggregation in pooling probabilistic opinions on logically related issues. For this reason, we first modify the Boolean judgment aggregation framework in the way…

Artificial Intelligence · Computer Science 2019-07-23 Magdalena Ivanovska , Marija Slavkovik

How to fairly apportion congressional seats to states has been debated for centuries. We present an alternative perspective on apportionment, centered not on states but "families" of state, sets of states with "divisor-method" quotas with…

General Economics · Economics 2022-10-20 Ross Hyman , Nicolaus Tideman

We study situations where a group of voters need to take a collective decision over a number of public issues, with the goal of getting a result that reflects the voters' opinions in a proportional manner. Our focus is on interconnected…

Computer Science and Game Theory · Computer Science 2025-09-25 Julian Chingoma , Umberto Grandi , Arianna Novaro

In rank aggregation, members of a population rank issues to decide which are collectively preferred. We focus instead on identifying divisive issues that express disagreements among the preferences of individuals. We analyse the properties…

Multiagent Systems · Computer Science 2023-06-16 Rachael Colley , Umberto Grandi , César Hidalgo , Mariana Macedo , Carlos Navarrete

Apportionment is the act of distributing the seats of a legislature among political parties (or states) in proportion to their vote shares (or populations). A famous impossibility by Balinski and Young (2001) shows that no apportionment…

Computer Science and Game Theory · Computer Science 2024-05-07 José Correa , Paul Gölz , Ulrike Schmidt-Kraepelin , Jamie Tucker-Foltz , Victor Verdugo

A common approach to aggregate classification estimates in an ensemble of decision trees is to either use voting or to average the probabilities for each class. The latter takes uncertainty into account, but not the reliability of the…

Machine Learning · Computer Science 2022-08-17 Florian Busch , Moritz Kulessa , Eneldo Loza Mencía , Hendrik Blockeel

Cumulative and quadratic voting are two distributional voting methods that are expressive, promoting fairness and inclusion, particularly in the realm of participatory budgeting. Despite these benefits, graphical voter interfaces for…

In this paper, we study the problem of Participatory Budgeting (PB) with approval ballots, inspired by Multi-Winner Voting schemes. We present generalized preference aggregation methods for participatory budgeting, especially for finding…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Rutvik Page , Arnav Doifode , Jitendra Tembhurne , Aishwarya Sagar Anand Ukey

Multi-document summarization has received a great deal of attention in the past couple of decades. Several approaches have been proposed, many of which perform equally well and it is becoming in- creasingly difficult to choose one…

Information Retrieval · Computer Science 2018-02-06 Parth Mehta , Prasenjit Majumder

We study the problem of ranking from crowdsourced pairwise comparisons. Answers to pairwise tasks are known to be affected by the position of items on the screen, however, previous models for aggregation of pairwise comparisons do not focus…

Machine Learning · Computer Science 2019-06-11 Nadezhda Bugakova , Valentina Fedorova , Gleb Gusev , Alexey Drutsa

An important problem in decision theory concerns the aggregation of individual rankings/ratings into a collective evaluation. We illustrate a new aggregation method in the context of the 2007 MSOM's student paper competition. The…

Artificial Intelligence · Computer Science 2021-01-14 Dorit S. Hochbaum , Erick Moreno-Centeno

We propose a framework for probability aggregation based on propositional probability logic. Unlike conventional judgment aggregation, which focuses on static rationality, our model addresses dynamic rationality by ensuring that collective…

Artificial Intelligence · Computer Science 2025-08-27 Polina Gordienko , Christoph Jansen , Thomas Augustin , Martin Rechenauer

In this paper, we advocate the use of setwise contests for aggregating a set of input rankings into an output ranking. We propose a generalization of the Kemeny rule where one minimizes the number of k-wise disagreements instead of pairwise…

Artificial Intelligence · Computer Science 2022-02-10 Hugo Gilbert , Tom Portoleau , Olivier Spanjaard

Value-based argumentation enhances a classical abstract argumentation graph - in which arguments are modelled as nodes connected by directed arrows called attacks - with labels on arguments, called values, and an ordering on values, called…

Multiagent Systems · Computer Science 2019-07-23 Grzegorz Lisowski , Sylvie Doutre , Umberto Grandi

Budget aggregation is a process in which citizens vote by declaring their individual ideal budget allocation, and a pre-determined rule aggregates all votes into a single outcome. Recent theoretical work has proposed various aggregation…

Computer Science and Game Theory · Computer Science 2026-04-14 Ayelet Amster , Lioz Akirav , Rica Gonen , Erel Segal-Halevi

We consider the problem of belief aggregation: given a group of individual agents with probabilistic beliefs over a set of uncertain events, formulate a sensible consensus or aggregate probability distribution over these events. Researchers…

Artificial Intelligence · Computer Science 2013-02-08 David M. Pennock , Michael P. Wellman

Approval voting is a common method of preference aggregation where voters vote by ``approving'' of a subset of candidates and the winner(s) are those who are approved of by the largest number of voters. In approval voting, the degree to…

Computer Science and Game Theory · Computer Science 2023-07-19 Hari Sarang Nathan

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

This paper addresses the problem of rank aggregation, which aims to find a consensus ranking among multiple ranking inputs. Traditional rank aggregation methods are deterministic, and can be categorized into explicit and implicit methods…

Machine Learning · Computer Science 2013-09-27 Shuzi Niu , Yanyan Lan , Jiafeng Guo , Xueqi Cheng