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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

Adversarial attack is a technique for deceiving Machine Learning (ML) models, which provides a way to evaluate the adversarial robustness. In practice, attack algorithms are artificially selected and tuned by human experts to break a ML…

Cryptography and Security · Computer Science 2020-12-11 Xiaofeng Mao , Yuefeng Chen , Shuhui Wang , Hang Su , Yuan He , Hui Xue

We consider the best arm identification (BAI) problem in the $K-$armed bandit framework with a modification - the agent is allowed to play a subset of arms at each time slot instead of one arm. Consequently, the agent observes the sample…

Machine Learning · Computer Science 2026-01-30 Siddhartha Parupudi , Gourab Ghatak

The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with $n$ anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which follows a homogeneous Poisson process with known intensity.…

Probability · Mathematics 2011-07-27 Jay Bartroff , Ester Samuel-Cahn

The Offensive Alliance problem has been studied extensively during the last twenty years. A set $S\subseteq V$ of vertices is an offensive alliance in an undirected graph $G=(V,E)$ if each $v\in N(S)$ has at least as many neighbours in $S$…

Computational Complexity · Computer Science 2021-11-01 Ajinkya Gaikwad , Soumen Maity

For more than a century, election officials across the United States have inspected voting machines before elections using a procedure called Logic and Accuracy Testing (LAT). This procedure consists of election officials casting a test…

Cryptography and Security · Computer Science 2024-10-01 Braden L. Crimmins , J. Alex Halderman , Bradley Sturt

We study the computational complexity of candidate control in elections with few voters, that is, we consider the parameterized complexity of candidate control in elections with respect to the number of voters as a parameter. We consider…

Artificial Intelligence · Computer Science 2017-03-21 Jiehua Chen , Piotr Faliszewski , Rolf Niedermeier , Nimrod Talmon

In the context of single-winner ranked-choice elections between $m$ candidates, we explore the tradeoff between two competing goals in every democratic system: the majority principle (maximizing the social welfare) and the minority…

Computer Science and Game Theory · Computer Science 2025-07-25 Fatih Erdem Kizilkaya , David Kempe

This paper considers the problem of security allocation in a networked control system under stealthy attacks. The system is comprised of interconnected subsystems represented by vertices. A malicious adversary selects a single vertex on…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Anh Tung Nguyen , André M. H. Teixeira , Alexander Medvedev

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

Dominating sets in graphs are often used to model some monitoring of the graph: guards are posted on the vertices of the dominating set, and they can thus react to attacks occurring on the unguarded vertices by moving there (yielding a new…

Discrete Mathematics · Computer Science 2024-07-16 Guillaume Bagan , Nicolas Bousquet , Nacim Oijid , Théo Pierron

We study the committee selection problem in the canonical impartial culture model with a large number of voters and an even larger candidate set. Here, each voter independently reports a uniformly random preference order over the…

Computer Science and Game Theory · Computer Science 2026-02-05 Yifan Lin , Shenyu Qin , Kangning Wang , Lirong Xia

Electoral control models ways of changing the outcome of an election via such actions as adding/deleting/partitioning either candidates or voters. These actions modify an election's participation structure and aim at either making a…

Computational Complexity · Computer Science 2016-08-14 Gábor Erdélyi , Lena Piras , Jörg Rothe

We define the min-min expectation selection problem (resp. max-min expectation selection problem) to be that of selecting k out of n given discrete probability distributions, to minimize (resp. maximize) the expectation of the minimum value…

Data Structures and Algorithms · Computer Science 2007-05-23 David Eppstein , George Lueker

The winner determination problems of many attractive multi-winner voting rules are NP-complete. However, they often admit polynomial-time algorithms when restricting inputs to be single-peaked. Commonly, such algorithms employ dynamic…

Computer Science and Game Theory · Computer Science 2021-04-20 Dominik Peters

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…

Computer Science and Game Theory · Computer Science 2020-02-24 Aviram Imber , Benny Kimelfeld

It is important to study how strategic agents can affect the outcome of an election. There has been a long line of research in the computational study of elections on the complexity of manipulative actions such as manipulation and bribery.…

Computer Science and Game Theory · Computer Science 2023-07-24 Zack Fitzsimmons , Edith Hemaspaandra

The election control problem through social influence asks to find a set of nodes in a social network of voters to be the starters of a political campaign aiming at supporting a given target candidate. Voters reached by the campaign change…

Social and Information Networks · Computer Science 2020-07-14 Mohammad Abouei Mehrizi , Federico Corò , Emilio Cruciani , Gianlorenzo D'Angelo

We study a two-alternative voting game where voters' preferences depend on an unobservable world state and each voter receives a private signal correlated to the true world state. We consider the collective decision when voters can…

Computer Science and Game Theory · Computer Science 2024-10-11 Xiaotie Deng , Biaoshuai Tao , Ying Wang

Selecting representatives based on voters' preferences is a fundamental problem in social choice theory. While cardinal utility functions offer a detailed representation of preferences, ordinal rankings are often the only available…

Computer Science and Game Theory · Computer Science 2024-12-17 Kiarash Banihashem , Diptarka Chakraborty , Shayan Chashm Jahan , Iman Gholami , MohammadTaghi Hajiaghayi , Mohammad Mahdavi , Max Springer