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In many real world elections, agents are not required to rank all candidates. We study three of the most common methods used to modify voting rules to deal with such partial votes. These methods modify scoring rules (like the Borda count),…

Computer Science and Game Theory · Computer Science 2014-06-02 Nina Narodytska , Toby Walsh

We consider a voting model, where a number of candidates need to be selected subject to certain feasibility constraints. The model generalises committee elections (where there is a single constraint on the number of candidates that need to…

Computer Science and Game Theory · Computer Science 2025-09-24 Tomáš Masařík , Grzegorz Pierczyński , Piotr Skowron

Many electoral bribery, control, and manipulation problems (which we will refer to in general as "manipulative actions" problems) are NP-hard in the general case. It has recently been noted that many of these problems fall into polynomial…

Computer Science and Game Theory · Computer Science 2012-07-09 Piotr Faliszewski , Edith Hemaspaandra , Lane A. Hemaspaandra

Multiwinner Elections have emerged as a prominent area of research with numerous practical applications. We contribute to this area by designing parameterized approximation algorithms and also resolving an open question by Yang and Wang…

Computer Science and Game Theory · Computer Science 2025-07-21 Sushmita Gupta , Pallavi Jain , Souvik Saha , Saket Saurabh , Anannya Upasana

Classical results in voting theory show that strategic manipulation by voters is inevitable if a voting rule simultaneously satisfy certain desirable properties. Motivated by this, we study the relevant question of how often a voting rule…

Computer Science and Game Theory · Computer Science 2015-02-17 Palash Dey , Y. Narahari

Previous studies have shown that Instant-Runoff Voting (IRV) is highly resistant to coalitional manipulation (CM), though the theoretical reasons for this remain unclear. To address this gap, we analyze the susceptibility to CM of three…

Computer Science and Game Theory · Computer Science 2025-10-17 François Durand

The traditional election control problem focuses on the use of control to promote a single candidate. In parliamentary elections, however, the focus shifts: voters care no less about the overall governing coalition than the individual…

Computer Science and Game Theory · Computer Science 2025-03-07 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

Strategic voting, or manipulation, is the process by which a voter misrepresents his preferences in an attempt to elect an outcome that he considers preferable to the outcome under sincere voting. It is generally agreed that manipulation is…

Computer Science and Game Theory · Computer Science 2022-11-10 Egor Ianovski , Daria Teplova , Valeriia Kuka

We visualize aggregate outputs of popular multiwinner voting rules--SNTV, STV, Bloc, k-Borda, Monroe, Chamberlin--Courant, and HarmonicBorda--for elections generated according to the two-dimensional Euclidean model. We consider three…

Computer Science and Game Theory · Computer Science 2019-01-29 Edith Elkind , Piotr Faliszewski , Jean-Francois Laslier , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

The single transferable vote (STV) is a system of preferential proportional voting employed in multi-seat elections. Each ballot cast by a voter is a (potentially partial) ranking over a set of candidates. The margin of victory, or simply…

Computer Science and Game Theory · Computer Science 2025-03-26 Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

To aggregate rankings into a social ranking, one can use scoring systems such as Plurality, Veto, and Borda. We distinguish three types of methods: ranking by score, ranking by repeatedly choosing a winner that we delete and rank at the…

Computer Science and Game Theory · Computer Science 2022-09-20 Niclas Boehmer , Robert Bredereck , Dominik Peters

We address a class of McKean-Vlasov (MKV) control problems with common noise, called polynomial conditional MKV, and extending the known class of linear quadratic stochastic MKV control problems. We show how this polynomial class can be…

Optimization and Control · Mathematics 2018-10-01 Alessandro Balata , Côme Huré , Mathieu Laurière , Huyên Pham , Isaque Pimentel

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,…

Computational Complexity · Computer Science 2010-05-03 Nadja Betzler , Britta Dorn

Scoring systems are an extremely important class of election systems. A length-$m$ (so-called) scoring vector applies only to $m$-candidate elections. To handle general elections, one must use a family of vectors, one per length. The most…

Computer Science and Game Theory · Computer Science 2014-04-18 Edith Hemaspaandra , Lane A. Hemaspaandra , Henning Schnoor

Quality assurance remains a key topic in human computation research. Prior work indicates that majority voting is effective for low difficulty tasks, but has limitations for harder tasks. This paper explores two methods of addressing this…

Social and Information Networks · Computer Science 2012-04-17 Yu-An Sun , Christopher Dance

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…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

In legal decisions, split votes (SV) occur when judges cannot reach a unanimous decision, posing a difficulty for lawyers who must navigate diverse legal arguments and opinions. In high-stakes domains, understanding the alignment of…

Computation and Language · Computer Science 2024-06-07 Shanshan Xu , T. Y. S. S Santosh , Oana Ichim , Barbara Plank , Matthias Grabmair

We develop a model of multiwinner elections that combines performance-based measures of the quality of the committee (such as, e.g., Borda scores of the committee members) with diversity constraints. Specifically, we assume that the…

Computer Science and Game Theory · Computer Science 2017-11-23 Robert Bredereck , Piotr Faliszewski , Ayumi Igarashi , Martin Lackner , Piotr Skowron

Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the…

Computer Science and Game Theory · Computer Science 2018-06-05 Haris Aziz , Barton Lee

We investigate how robust the results of committee elections are to small changes in the input preference orders, depending on the voting rules used. We find that for typical rules the effect of making a single swap of adjacent candidates…

Computer Science and Game Theory · Computer Science 2019-07-24 Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Rolf Niedermeier , Piotr Skowron , Nimrod Talmon
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