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Most decision-making models, including the pairwise comparison method, assume the decision-makers honesty. However, it is easy to imagine a situation where a decision-maker tries to manipulate the ranking results. This paper presents three…

Artificial Intelligence · Computer Science 2024-10-11 Michał Strada , Sebastian Ernst , Jacek Szybowski , Konrad Kułakowski

Decision-making methods very often use the technique of comparing alternatives in pairs. In this approach, experts are asked to compare different options, and then a quantitative ranking is created from the results obtained. It is commonly…

Artificial Intelligence · Computer Science 2025-04-21 M. Strada , K. Kułakowski

The paper considers the problem of finding the number of dominant voters in two-level voting procedures. At the first stage, voting is conducted among local groups of voters, and at the second stage, the results are aggregated to form a…

Discrete Mathematics · Computer Science 2025-06-11 N. I. Shushko , D. V. Lemtyuzhnikova

The role of an expert in the decision-making process is crucial, as the final recommendation depends on his disposition, clarity of mind, experience, and knowledge of the problem. However, the recommendation also depends on their honesty.…

Artificial Intelligence · Computer Science 2024-05-28 Jacek Szybowski , Konrad Kułakowski , Sebastian Ernst

Integrity of elections is vital to democratic systems, but it is frequently threatened by malicious actors. The study of algorithmic complexity of the problem of manipulating election outcomes by changing its structural features is known as…

Computer Science and Game Theory · Computer Science 2020-07-21 Andrew Estornell , Sanmay Das , Edith Elkind , Yevgeniy Vorobeychik

Chess championships are often organised as a Swiss-system tournament, causing great challenges in ranking the participants due to the different strength of schedules and possible circular triads. The paper suggests that pairwise comparison…

Applications · Statistics 2016-11-03 Lászlo Csató

Rank aggregation with pairwise comparisons is widely encountered in sociology, politics, economics, psychology, sports, etc . Given the enormous social impact and the consequent incentives, the potential adversary has a strong motivation to…

Artificial Intelligence · Computer Science 2024-07-03 Ke Ma , Qianqian Xu , Jinshan Zeng , Wei Liu , Xiaochun Cao , Yingfei Sun , Qingming Huang

Pairwise comparison matrices are widely used in Multicriteria Decision Making. This article applies incomplete pairwise comparison matrices in the area of sport tournaments, namely proposing alternative rankings for the 2010 Chess Olympiad…

Applications · Statistics 2019-06-20 László Csató

In multiagent settings where the agents have different preferences, preference aggregation is a central issue. Voting is a general method for preference aggregation, but seminal results have shown that all general voting protocols are…

Computer Science and Game Theory · Computer Science 2009-09-29 Vincent Conitzer , Tuomas Sandholm

We consider manipulation strategies for the rank-maximal matching problem. In the rank-maximal matching problem we are given a bipartite graph $G = (A \cup P, E)$ such that $A$ denotes a set of applicants and $P$ a set of posts. Each…

Data Structures and Algorithms · Computer Science 2018-08-30 Pratik Ghosal , Katarzyna Paluch

Pairwise comparison matrices are frequently applied in multi-criteria decision making. A weight vector is called efficient if no other weight vector is at least as good in approximating the elements of the pairwise comparison matrix, and…

Optimization and Control · Mathematics 2017-10-03 Sándor Bozóki , János Fülöp

Control and manipulation are two of the most studied types of attacks on elections. In this paper, we study the complexity of control attacks on elections in which there are manipulators. We study both the case where the "chair" who is…

Computer Science and Game Theory · Computer Science 2017-06-09 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

In peer mechanisms, the competitors for a prize also determine who wins. Each competitor may be asked to rank, grade, or nominate peers for the prize. Since the prize can be valuable, such as financial aid, course grades, or an award at a…

Artificial Intelligence · Computer Science 2024-05-31 Matthew Olckers , Toby Walsh

Constructive election control considers the problem of an adversary who seeks to sway the outcome of an electoral process in order to ensure that their favored candidate wins. We consider the computational problem of constructive election…

Computer Science and Game Theory · Computer Science 2019-12-02 Jasper Lu , David Kai Zhang , Zinovi Rabinovich , Svetlana Obraztsova , Yevgeniy Vorobeychik

We present pairwise fairness metrics for ranking models and regression models that form analogues of statistical fairness notions such as equal opportunity, equal accuracy, and statistical parity. Our pairwise formulation supports both…

Machine Learning · Computer Science 2020-01-08 Harikrishna Narasimhan , Andrew Cotter , Maya Gupta , Serena Wang

By classic results in social choice theory, any reasonable preferential voting method sometimes gives individuals an incentive to report an insincere preference. The extent to which different voting methods are more or less resistant to…

Artificial Intelligence · Computer Science 2025-02-25 Wesley H. Holliday , Alexander Kristoffersen , Eric Pacuit

Schulze and ranked-pairs elections have received much attention recently, and the former has quickly become a quite widely used election system. For many cases these systems have been proven resistant to bribery, control, or manipulation,…

Computer Science and Game Theory · Computer Science 2014-06-24 Lane A. Hemaspaandra , Rahman Lavaee , Curtis Menton

We consider the problem of manipulating elections by cloning candidates. In our model, a manipulator can replace each candidate c by several clones, i.e., new candidates that are so similar to c that each voter simply replaces c in his vote…

Computer Science and Game Theory · Computer Science 2014-01-21 Edith Elkind , Piotr Faliszewski , Arkadii Slinko

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

Machine Learning · Statistics 2022-10-21 M. E. J. Newman
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