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The Chamberlin-Courant and Monroe rules are fundamental and well-studied rules in the literature of multi-winner elections. The problem of determining if there exists a committee of size k that has a Chamberlin-Courant (respectively,…

数据结构与算法 · 计算机科学 2020-04-30 Chinmay Sonar , Palash Dey , Neeldhara Misra

Weighted voting games (WVG) are coalitional games in which an agent's contribution to a coalition is given by his it weight, and a coalition wins if its total weight meets or exceeds a given quota. These games model decision-making in…

计算机科学与博弈论 · 计算机科学 2010-10-21 Edith Elkind , Dmitrii V. Pasechnik

Perpetual voting studies fair collective decision-making in settings where many decisions are to be made, and is a natural framework for settings such as parliaments and the running of blockchain Decentralized Autonomous Organizations…

计算机科学与博弈论 · 计算机科学 2024-08-19 Yotam Gafni , Ben Golan

Participatory budgeting (PB) is a democratic paradigm whereby voters decide on a set of projects to fund with a limited budget. We consider PB in a setting where voters report ordinal preferences over projects and have (possibly) asymmetric…

计算机科学与博弈论 · 计算机科学 2020-12-11 Haris Aziz , Barton E. Lee

Coding theory revolves around the incorporation of redundancy into transmitted symbols, computation tasks, and stored data to guard against adversarial manipulation. However, error correction in coding theory is contingent upon a strict…

信息论 · 计算机科学 2025-12-24 Hanzaleh Akbari Nodehi , Viveck R. Cadambe , Mohammad Ali Maddah-Ali

TU-games with utility functions are considered. Generalizations of the prenucleolus, essential coalitions and the core: the u-prenucleolus, u-essential coalitions and the u-core respectively are introduced. We show that u-essential…

最优化与控制 · 数学 2024-07-23 Zsófia Dornai , Miklós Pintér

In this note we consider situations of (multidimensional) spatial majority voting. We show that under some assumptions usual in this literature, with an even number of voters if the core of the voting situation is singleton (and in the…

理论经济学 · 经济学 2022-08-16 Anindya Bhattacharya , Francesco Ciardiello

Hedonic games -- at the interface of cooperative game theory and computational social choice -- are coalition formation games in which the players have preferences over the coalitions they can join. Kerkmann et al. [13] introduced…

计算机科学与博弈论 · 计算机科学 2025-12-01 Jörg Rothe , Ildikó Schlotter

In many real world situations, collective decisions are made using voting. Moreover, scenarios such as committee or board elections require voting rules that return multiple winners. In multi-winner approval voting (AV), an agent may vote…

计算机科学与博弈论 · 计算机科学 2019-05-31 Jaelle Scheuerman , Jason L. Harman , Nicholas Mattei , K. Brent Venable

A negotiating team is a group of two or more agents who join together as a single negotiating party because they share a common goal related to the negotiation. Since a negotiating team is composed of several stakeholders, represented as a…

计算机科学与博弈论 · 计算机科学 2021-08-03 Leora Schmerler , Noam Hazon

The paper considers a general model of electoral systems combining district-based elections with a compensatory mechanism in order to create any outcome between strictly majoritarian and purely proportional seat allocation. It contains vote…

计算机科学与博弈论 · 计算机科学 2017-10-27 László Csató

We consider a set of agents who have claims on an endowment that is not large enough to cover all claims. Agents can form coalitions but a minimal coalition size $\theta$ is required to have positive coalitional funding that is proportional…

理论经济学 · 经济学 2024-09-02 Oihane Gallo , Bettina Klaus

We study approval-based committee voting from a novel perspective. While extant work largely centers around proportional representation of the voters, we shift our focus to the candidates while preserving proportionality. Intuitively,…

计算机科学与博弈论 · 计算机科学 2025-06-24 Gregory Kehne , Ulrike Schmidt-Kraepelin , Krzysztof Sornat

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…

社会与信息网络 · 计算机科学 2020-06-01 Mohammad Abouei Mehrizi , Gianlorenzo D'Angelo

We introduce two models of multiwinner elections with approval preferences and labelled candidates that take the committee's diversity into account. One model aims to find a committee with maximal diversity given a scoring function (e.g. of…

计算机科学与博弈论 · 计算机科学 2026-02-13 Paula Böhm , Robert Bredereck , Till Fluschnik

In many real world situations, collective decisions are made using voting and, in scenarios such as committee or board elections, employing voting rules that return multiple winners. In multi-winner approval voting (AV), an agent submits a…

计算机科学与博弈论 · 计算机科学 2020-12-08 Jaelle Scheuerman , Jason Harman , Nicholas Mattei , K. Brent Venable

We survey the design of elections that are resilient to attempted interference by third parties. For example, suppose votes have been cast in an election between two candidates, and then each vote is randomly changed with a small…

概率论 · 数学 2021-07-13 Steven Heilman

The goal of this paper is to propose and study properties of multiwinner voting rules which can be consider as generalisations of single-winner scoring voting rules. We consider SNTV, Bloc, k-Borda, STV, and several variants of…

计算机科学与博弈论 · 计算机科学 2015-06-10 Edith Elkind , Piotr Faliszewski , Piotr Skowron , Arkadii Slinko

A solution concept on a class of transferable utility coalitional games is a multifunction satisfying given criteria of economic rationality. Every solution associates a set of payoff allocations with a coalitional game. This general…

组合数学 · 数学 2020-10-13 Tomáš Kroupa

Approval-based committee (ABC) voting rules elect a fixed size subset of the candidates, a so-called committee, based on the voters' approval ballots over the candidates. While these rules have recently attracted significant attention,…

计算机科学与博弈论 · 计算机科学 2023-02-24 Chris Dong , Patrick Lederer