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We study the complexity of the destructive bribery problem---an external agent tries to prevent a disliked candidate from winning by bribery actions---in voting over combinatorial domains, where the set of candidates is the Cartesian…

Computational Complexity · Computer Science 2015-09-30 Britta Dorn , Dominikus Krüger , Patrick Scharpfenecker

In the Shift-Bribery problem we are given an election, a preferred candidate, and the costs of shifting this preferred candidate up the voters' preference orders. The goal is to find such a set of shifts that ensures that the preferred…

Computer Science and Game Theory · Computer Science 2019-08-29 Piotr Faliszewski , Pasin Manurangsi , Krzysztof Sornat

Determining the complexity of election attack problems is a major research direction in the computational study of voting problems. The paper "Towards completing the puzzle: complexity of control by replacing, adding, and deleting…

Computer Science and Game Theory · Computer Science 2023-05-29 Zack Fitzsimmons , Edith Hemaspaandra

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…

Computational Complexity · Computer Science 2015-05-20 Britta Dorn , Ildikó Schlotter

An election is defined as a pair of a set of candidates C=\{c_1,\cdots,c_m\} and a multiset of votes V=\{v_1,\cdots,v_n\}, where each vote is a linear order of the candidates. The Borda election rule is characterized by a vector \langle…

Computational Complexity · Computer Science 2024-05-09 Aizhong Zhou , Fengbo Wang , Jiong Guo

In distortion-based analysis of social choice rules over metric spaces, one assumes that all voters and candidates are jointly embedded in a common metric space. Voters rank candidates by non-decreasing distance. The mechanism, receiving…

Computer Science and Game Theory · Computer Science 2019-11-21 David Kempe

Voter control problems model situations in which an external agent tries toaffect the result of an election by adding or deleting the fewest number of voters. The goal of the agent is to make a specific candidate either win…

Multiagent Systems · Computer Science 2017-01-19 Leon Kellerhals , Viatcheslav Korenwein , Philipp Zschoche , Robert Bredereck , Jiehua Chen

Bribery in elections is an important problem in computational social choice theory. However, bribery with money is often illegal in elections. Motivated by this, we introduce the notion of frugal bribery and formulate two new pertinent…

Artificial Intelligence · Computer Science 2017-03-01 Palash Dey , Neeldhara Misra , Y. Narahari

Metric distortion in social choice is a framework for evaluating how well voting rules minimize social cost when both voters and candidates exist in a shared metric space, with a voter's cost defined by their distance to a candidate. Voters…

Computer Science and Game Theory · Computer Science 2025-02-14 Mohak Goyal , Sahasrajit Sarmasarkar

We study the concept of bribery in the situation where voters are willing to change their votes as we ask them, but where their prices depend on the nature of the change we request. Our model is an extension of the one of Faliszewski et al.…

Computer Science and Game Theory · Computer Science 2007-12-03 Piotr Faliszewski

We conjecture that Borda count is the ranked choice voting method that best preserves the outcome of an election with randomly corrupted votes, among all fair voting methods with small influences satisfying the Condorcet Loser Criterion.…

Computer Science and Game Theory · Computer Science 2022-09-23 Steven Heilman

Reinforcement learning with verifiable rewards (RLVR) has become a standard approach for improving reasoning in language models, yet models trained with RLVR often suffer from diversity collapse: while single-sample accuracy improves,…

Machine Learning · Computer Science 2026-05-05 Marc Dymetman

Strategic manipulation of elections is typically studied in the context of promoting individual candidates. In parliamentary elections, however, the focus shifts: voters may care more about the overall governing coalition than the…

Computer Science and Game Theory · Computer Science 2026-01-13 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

We introduce a general problem about bribery in voting systems. In the $\mathcal{R}$-Multi-Bribery problem, the goal is to bribe a set of voters at minimum cost such that a desired candidate wins the perturbed election under the voting rule…

Data Structures and Algorithms · Computer Science 2018-12-06 Dušan Knop , Martin Koutecký , Matthias Mnich

We investigate the parameterized complexity of strategic behaviors in generalized scoring rules. In particular, we prove that the manipulation, control (all the 22 standard types), and bribery problems are fixed-parameter tractable for most…

Computer Science and Game Theory · Computer Science 2014-05-27 Yongjie Yang

We study the complexity of constructive bribery in the context of structured multiwinner approval elections. Given such an election, we ask whether a certain candidate can join the winning committee by adding, deleting, or swapping…

Computer Science and Game Theory · Computer Science 2024-01-23 Bartosz Kusek , Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Dušan Knop

Maximum likelihood estimation furnishes powerful insights into voting theory, and the design of voting rules. However the MLE can usually be badly corrupted by a single outlying sample. This means that a single voter or a group of colluding…

Data Structures and Algorithms · Computer Science 2022-07-19 Allen Liu , Ankur Moitra

We propose models for lobbying in a probabilistic environment, in which an actor (called "The Lobby") seeks to influence voters' preferences of voting for or against multiple issues when the voters' preferences are represented in terms of…

Computational Complexity · Computer Science 2011-03-01 Daniel Binkele-Raible , Gábor Erdélyi , Henning Fernau , Judy Goldsmith , Nicholas Mattei , Jörg Rothe

News outlets, surveyors, and other organizations often conduct polls on social networks to gain insights into public opinion. Such a poll is typically started by someone on a social network who sends it to her friends. If a person…

Multiagent Systems · Computer Science 2025-02-05 Koustav De , Palash Dey , Swagato Sanyal

In the Shift Bribery problem, we are given an election (based on preference orders), a preferred candidate $p$, and a budget. The goal is to ensure that $p$ wins by shifting $p$ higher in some voters' preference orders. However, each such…

Multiagent Systems · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Piotr Faliszewski , André Nichterlein , Rolf Niedermeier