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We study computational aspects of three prominent voting rules that use approval ballots to elect multiple winners. These rules are satisfaction approval voting, proportional approval voting, and reweighted approval voting. We first show…

Computer Science and Game Theory · Computer Science 2014-07-14 Haris Aziz , Serge Gaspers , Joachim Gudmundsson , Simon Mackenzie , Nicholas Mattei , Toby Walsh

Participatory budgeting is a method used by city governments to select public projects to fund based on residents' votes. Many cities use participatory budgeting at a district level. Typically, a budget is divided among districts…

Computer Science and Game Theory · Computer Science 2021-02-12 D Ellis Hershkowitz , Anson Kahng , Dominik Peters , Ariel D. Procaccia

We consider transferable utility cooperative games with infinitely many players and the core understood in the space of bounded additive set functions. We show that, if a game is bounded below, then its core is non-empty if and only if the…

Optimization and Control · Mathematics 2022-08-01 David Bartl , Miklós Pintér

We consider an agent community wishing to decide on several binary issues by means of issue-by-issue majority voting. For each issue and each agent, one of the two options is better than the other. However, some of the agents may be…

Computer Science and Game Theory · Computer Science 2022-07-12 Shiri Alouf-Heffetz , Laurent Bulteau , Edith Elkind , Nimrod Talmon , Nicholas Teh

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 present a novel approach to the core set/instance selection problem in machine learning. Our approach is based on recent results on (proportional) representation in approval-based multi-winner elections. In our model, instances play a…

Machine Learning · Computer Science 2025-12-15 Luis Sánchez-Fernández , Jesús A. Fisteus , Rafael López-Zaragoza

In rational verification, the aim is to verify which temporal logic properties will obtain in a multi-agent system, under the assumption that agents ("players") in the system choose strategies for acting that form a game theoretic…

Computer Science and Game Theory · Computer Science 2023-01-18 Julian Gutierrez , Szymon Kowara , Sarit Kraus , Thomas Steeples , Michael Wooldridge

The core is a dominant solution concept in economics and cooperative game theory; it is predominantly used for profit, equivalently cost or utility, sharing. This paper demonstrates the versatility of this notion by proposing a completely…

Theoretical Economics · Economics 2023-09-07 Vijay V. Vazirani

We consider the $\varepsilon$-Consensus-Halving problem, in which a set of heterogeneous agents aim at dividing a continuous resource into two (not necessarily contiguous) portions that all of them simultaneously consider to be of…

Computer Science and Game Theory · Computer Science 2023-03-06 Argyrios Deligkas , Aris Filos-Ratsikas , Alexandros Hollender

We consider a principal agent project selection problem with asymmetric information. There are $N$ projects and the principal must select exactly one of them. Each project provides some profit to the principal and some payoff to the agent…

Theoretical Economics · Economics 2025-04-15 Sumit Goel , Wade Hann-Caruthers

Participatory budgeting, as a paradigm for democratic innovations, engages citizens in the distribution of a public budget to projects, which they propose and vote for implementation. So far, voting algorithms have been proposed and studied…

Multiagent Systems · Computer Science 2024-10-30 Sajan Maharjan , Srijoni Majumdar , Evangelos Pournaras

A committee consisting of two factions is considering a project whose distributive consequences are unknown. This uncertainty can be resolved at some unknown future time. By delaying approval, the committee can gradually learn which faction…

Theoretical Economics · Economics 2024-11-12 Boris Ginzburg

Crowdsensing, also known as participatory sensing, is a method of data collection that involves gathering information from a large number of common people (or individuals), often using mobile devices or other personal technologies. This…

Computer Science and Game Theory · Computer Science 2024-05-17 Chattu Bhargavi , Vikash Kumar Singh

In this note we consider a society that partitions itself into disjoint jurisdictions, each choosing a location of its public project and a taxation scheme to finance it. The set of public project is multi-dimensional, and their costs could…

Computer Science and Game Theory · Computer Science 2007-05-23 Anna Bogomolnaia , Michel Le Breton , Alexei Savvateev , Shlomo Weber

To successfully complete a complex project, be it a construction of an airport or of a backbone IT system, agents (companies or individuals) must form a team having required competences and resources. A team can be formed either by the…

Computer Science and Game Theory · Computer Science 2016-09-16 Piotr Skowron , Krzysztof Rzadca , Anwitaman Datta

Purpose: Multiwinner voting rules typically require full knowledge of voter preferences, which becomes impractical in large-scale or attention-limited settings. This paper investigates how accurately a winning committee can be approximated…

Computer Science and Game Theory · Computer Science 2026-04-01 Itay Asher Zimet , Shiri Alouf-Heffetz , Nimrod Talmon

In participatory budgeting (PB), voters decide through voting which subset of projects to fund within a given budget. Proportionality in the context of PB is crucial to ensure equal treatment of all groups of voters. However, pure…

Computer Science and Game Theory · Computer Science 2025-07-08 Georgios Papasotiropoulos , Seyedeh Zeinab Pishbin , Oskar Skibski , Piotr Skowron , Tomasz Wąs

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 consider the problem of fairly allocating indivisible public goods. We model the public goods as elements with feasibility constraints on what subsets of elements can be chosen, and assume that agents have additive utilities across…

Computer Science and Game Theory · Computer Science 2018-05-10 Brandon Fain , Kamesh Munagala , Nisarg Shah

We study the problem of bribery in multiwinner elections, for the case where the voters cast approval ballots (i.e., sets of candidates they approve) and the bribery actions are limited to: adding an approval to a vote, deleting an approval…

Computer Science and Game Theory · Computer Science 2021-04-20 Piotr Faliszewski , Piotr Skowron , Nimrod Talmon