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To make a joint decision, agents (or voters) are often required to provide their preferences as linear orders. To determine a winner, the given linear orders can be aggregated according to a voting protocol. However, in realistic settings,…

计算复杂性 · 计算机科学 2010-05-03 Nadja Betzler , Britta Dorn

The Possible-Winner problem asks, given an election where the voters' preferences over the set of candidates is partially specified, whether a distinguished candidate can become a winner. In this work, we consider the computational…

计算机科学与博弈论 · 计算机科学 2018-02-27 Batya Kenig

Various voting rules are based on ranking the candidates by scores induced by aggregating voter preferences. A winner (respectively, unique winner) is a candidate who receives a score not smaller than (respectively, strictly greater than)…

计算机科学与博弈论 · 计算机科学 2021-02-01 Aviram Imber , Benny Kimelfeld

The Possible Winner problem asks, given an election where the voters' preferences over the candidates are specified only partially, whether a designated candidate can become a winner by suitably extending all the votes. Betzler and Dorn [1]…

计算复杂性 · 计算机科学 2011-11-29 Dorothea Baumeister , Joerg Rothe

Usually a voting rule requires agents to give their preferences as linear orders. However, in some cases it is impractical for an agent to give a linear order over all the alternatives. It has been suggested to let agents submit partial…

计算机科学与博弈论 · 计算机科学 2014-01-17 Lirong Xia , Vincent Conitzer

When voter preferences are known in an incomplete (partial) manner, winner determination is commonly treated as the identification of the necessary and possible winners; these are the candidates who win in all completions or at least one…

计算机科学与博弈论 · 计算机科学 2020-02-24 Aviram Imber , Benny Kimelfeld

We consider the problem of predicting winners in elections, for the case where we are given complete knowledge about all possible candidates, all possible voters (together with their preferences), but where it is uncertain either which…

计算机科学与博弈论 · 计算机科学 2016-03-27 Krzysztof Wojtas , Krzysztof Magiera , Tomasz Miąsko , Piotr Faliszewski

We consider a spatial voting model where both candidates and voters are positioned in the $d$-dimensional Euclidean space, and each voter ranks candidates based on their proximity to the voter's ideal point. We focus on the scenario where…

计算机科学与博弈论 · 计算机科学 2025-05-20 Hadas Shachnai , Rotem Shavitt , Andreas Wiese

Consider elections where the set of candidates is partitioned into parties, and each party must nominate exactly one candidate. The Possible President problem asks whether some candidate of a given party can become the winner of the…

计算机科学与博弈论 · 计算机科学 2025-02-06 Ildikó Schlotter , Katarína Cechlárová

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

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

数据结构与算法 · 计算机科学 2016-04-21 Arnab Bhattacharyya , Palash Dey

The Possible Winner (PW) problem, a fundamental algorithmic problem in computational social choice, concerns elections where voters express only partial preferences between candidates. Via a sequence of investigations, a complete…

计算机科学与博弈论 · 计算机科学 2020-03-26 Vishal Chakraborty , Phokion G. Kolaitis

We investigate two systems of fully proportional representation suggested by Chamberlin Courant and Monroe. Both systems assign a representative to each voter so that the "sum of misrepresentations" is minimized. The winner determination…

计算机科学与博弈论 · 计算机科学 2014-02-05 Nadja Betzler , Arkadii Slinko , Johannes Uhlmann

An important question in elections is the determine whether a candidate can be a winner when some votes are absent. We study this determining winner with the absent votes (WAV) problem when the votes are top-truncated. We show that the WAV…

计算机科学与博弈论 · 计算机科学 2023-10-12 Qishen Han , Amélie Marian , Lirong Xia

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 investigate the problem of winner determination from computational social choice theory in the data stream model. Specifically, we consider the task of summarizing an arbitrarily ordered stream of $n$ votes on $m$ candidates into a small…

计算复杂性 · 计算机科学 2015-09-08 Arnab Bhattacharyya , Palash Dey

Motivated by the difficulty of specifying complete ordinal preferences over a large set of $m$ candidates, we study voting rules that are computable by querying voters about $t < m$ candidates. Generalizing prior works that focused on…

计算机科学与博弈论 · 计算机科学 2024-09-30 Daniel Halpern , Safwan Hossain , Jamie Tucker-Foltz

In a party-based election system, the voters are grouped into parties and all voters of a party are assumed to vote according to the party preferences over the candidates. Hence, once the party preferences are declared the outcome of the…

多智能体系统 · 计算机科学 2014-04-10 Jiong Guo , Yash Raj Shrestha , Yongjie Yang

Consider an election where the set of candidates is partitioned into parties, and each party must choose exactly one candidate to nominate for the election held over all nominees. The Necessary President problem asks whether a candidate, if…

计算机科学与博弈论 · 计算机科学 2026-02-12 Katarína Cechlárová , Ildikó Schlotter

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,…

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