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We study a generic framework that provides a unified view on two important classes of problems: (i) extensions of the k-median problem where clients are interested in having multiple facilities in their vicinity (e.g., due to the fact that,…

数据结构与算法 · 计算机科学 2018-03-13 Jarosław Byrka , Piotr Skowron , Krzysztof Sornat

Online discussion platforms are a vital part of the public discourse in a deliberative democracy. However, how to interpret the outcomes of the discussions on these platforms is often unclear. In this paper, we propose a novel and…

计算机科学与博弈论 · 计算机科学 2024-02-09 Michael Bernreiter , Jan Maly , Oliviero Nardi , Stefan Woltran

We consider elections where the voters come one at a time, in a streaming fashion, and devise space-efficient algorithms which identify an approximate winning committee with respect to common multiwinner proportional representation voting…

计算机科学与博弈论 · 计算机科学 2017-03-01 Palash Dey , Nimrod Talmon , Otniel van Handel

We investigate winner determination for two popular proportional representation systems: the Monroe and Chamberlin-Courant (abbrv. CC) systems. Our study focuses on (nearly) single-peaked resp. single-crossing preferences. We show that for…

多智能体系统 · 计算机科学 2023-08-01 Jiehua Chen , Christian Hatschka , Sofia Simola

By the Gibbard--Satterthwaite theorem, every reasonable voting rule for three or more alternatives is susceptible to manipulation: there exist elections where one or more voters can change the election outcome in their favour by…

计算机科学与博弈论 · 计算机科学 2017-07-28 Edith Elkind , Umberto Grandi , Francesca Rossi , Arkadii Slinko

We provide a parameterized polynomial algorithm for the propositional model counting problem #SAT, the runtime of which is single-exponential in the rank-width of a formula. Previously, analogous algorithms have been known -- e.g.~[Fischer,…

离散数学 · 计算机科学 2010-06-30 Robert Ganian , Petr Hliněný , Jan Obdržálek

The amount of information in satisfiability problem (SAT) is considered. SAT can be polynomial-time solvable when the solving algorithm holds an exponential amount of information. It is also established that SAT Kolmogorov complexity is…

计算复杂性 · 计算机科学 2024-07-26 Maciej Drozdowski

Quadratic Voting (QV) is a social choice mechanism that addresses the "tyranny of the majority" of one-person-one-vote mechanisms. Agents express not only their preference ordering but also their preference intensity by purchasing $x$ votes…

计算机科学与博弈论 · 计算机科学 2024-09-11 Laura Georgescu , James Fox , Anna Gautier , Michael Wooldridge

Many hard computational social choice problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences. However, to date, all algorithmic results of…

计算机科学与博弈论 · 计算机科学 2016-02-12 Edith Elkind , Martin Lackner

We investigate the practical aspects of computing the necessary and possible winners in elections over incomplete voter preferences. In the case of the necessary winners, we show how to implement and accelerate the polynomial-time algorithm…

计算机科学与博弈论 · 计算机科学 2020-05-15 Vishal Chakraborty , Theo Delemazure , Benny Kimelfeld , Phokion G. Kolaitis , Kunal Relia , Julia Stoyanovich

A canonical problem in social choice is how to aggregate ranked votes: given $n$ voters' rankings over $m$ candidates, what voting rule $f$ should we use to aggregate these votes into a single winner? One standard method for comparing…

计算机科学与博弈论 · 计算机科学 2023-08-08 Bailey Flanigan , Daniel Halpern , Alexandros Psomas

We consider the computational complexity of a problem modeling bribery in the context of voting systems. In the scenario of Swap Bribery, each voter assigns a certain price for swapping the positions of two consecutive candidates in his…

计算复杂性 · 计算机科学 2015-05-20 Britta Dorn , Ildikó Schlotter

Bribery in election (or computational social choice in general) is an important problem that has received a considerable amount of attention. In the classic bribery problem, the briber (or attacker) bribes some voters in attempting to make…

数据结构与算法 · 计算机科学 2018-11-12 Lin Chen , Lei Xu , Shouhuai Xu , Zhimin Gao , Weidong Shi

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

机器学习 · 计算机科学 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Over the past few years, the (parameterized) complexity landscape of constructive control for many prevalent approval-based multiwinner voting (ABMV) rules has been explored. We expand these results in two directions. First, we study…

计算机科学与博弈论 · 计算机科学 2023-07-04 Yongjie Yang

An important problem on social information sites is the recovery of ground truth from individual reports when the experts are in the minority. The wisdom of the crowd, i.e. the collective opinion of a group of individuals fails in such a…

计算机科学与博弈论 · 计算机科学 2024-11-14 Hadi Hosseini , Debmalya Mandal , Amrit Puhan

We consider spatial voting where candidates are located in the Euclidean $d$-dimensional space, and each voter ranks candidates based on their distance from the voter's ideal point. We explore the case where information about the location…

计算机科学与博弈论 · 计算机科学 2024-08-21 Aviram Imber , Jonas Israel , Markus Brill , Hadas Shachnai , Benny Kimelfeld

We study computational problems for two popular parliamentary voting procedures: the amendment procedure and the successive procedure. While finding successful manipulations or agenda controls is tractable for both procedures, our…

计算机科学与博弈论 · 计算机科学 2015-09-09 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Toby Walsh

Ranked Choice Voting (RCV) and Single Transferable Voting (STV) are widely valued; but are complex to understand due to intricate per-round vote transfers. Questions like determining how far a candidate is from winning or identifying…

计算机科学与博弈论 · 计算机科学 2024-07-22 Sanyukta Deshpande , Nikhil Garg , Sheldon Jacobson

Consensus halving refers to the problem of dividing a resource into two parts so that every agent values both parts equally. Prior work has shown that when the resource is represented by an interval, a consensus halving with at most $n$…

计算机科学与博弈论 · 计算机科学 2022-11-22 Paul W. Goldberg , Alexandros Hollender , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong