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The probability of a given candidate winning a future election is worked out in closed form as a function of (i) the current support rates for each candidate, (ii) the relative positioning of the candidates within the political spectrum,…

Probability · Mathematics 2025-04-25 Dorje C. Brody , Tomooki Yuasa

The Shapley-Shubik power index is a measure of each voters power in the passage or failure of a vote. We extend this measure to graphs and consider a discrete-time process in which voters may change their vote based on the outcome of the…

Discrete Mathematics · Computer Science 2020-07-13 Jordan Barrett , Christopher Duffy , Richard Nowakowski

Bribery in an election is one of the well-studied control problems in computational social choice. In this paper, we propose and study the safe bribery problem. Here the goal of the briber is to ask the bribed voters to vote in such a way…

Computer Science and Game Theory · Computer Science 2023-09-07 Neel Karia , Faraaz Mallick , Palash Dey

Information diffusion and influence maximization are important and extensively studied problems in social networks. Various models and algorithms have been proposed in the literature in the context of the influence maximization problem. A…

Computer Science and Game Theory · Computer Science 2015-03-18 Mayur Mohite , Y. Narahari

Election polls play a critical role in political discussions by probing public opinion and enabling political parties to assess their performance before elections. However, traditional polling methods sometimes fail to predict election…

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

Two of the main factors shaping an individual's opinion are social coordination and personal preferences, or personal biases. To understand the role of those and that of the topology of the network of interactions, we study an extension of…

Physics and Society · Physics 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész

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

Mechanism design is concerned with settings where a policymaker (or social planner) faces the problem of aggregating the announced preferences of multiple agents into a collective (or social), system-wide decision. One of the most important…

Multiagent Systems · Computer Science 2020-03-02 Mohammad Ali Javidian , Pooyan Jamshidi , Marco Valtorta , Rasoul Ramezanian

The way that people make choices or exhibit preferences can be strongly affected by the set of available alternatives, often called the choice set. Furthermore, there are usually heterogeneous preferences, either at an individual level…

Computer Science and Game Theory · Computer Science 2020-08-04 Kiran Tomlinson , Austin R. Benson

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

Artificial Intelligence · Computer Science 2012-04-20 Andrew Lin

We address the link between the controllability or observability of a stochastic complex system and concepts of information theory. We show that the most influential degrees of freedom can be detected without acting on the system, by…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Pierre-Alain Toupance , Laurent Lefèvre , Bastien Chopard

In this paper, we propose a new averaging model for modeling the competitive influence of $K$ candidates among $n$ voters in an election process. For such an influence propagation model, we address the question of how many seeded voters a…

Social and Information Networks · Computer Science 2020-09-22 Yu-Hsien Peng , Ping-En Lu , Cheng-Shang Chang , Duan-Shin Lee

With the rising participation of the common mass in social media, it is increasingly common now for policymakers/journalists to create online polls on social media to understand the political leanings of people in specific locations. The…

Computers and Society · Computer Science 2022-09-26 Souvic Chakraborty , Pawan Goyal , Animesh Mukherjee

We consider the problem of influence maximization in fixed networks for contagion models in an adversarial setting. The goal is to select an optimal set of nodes to seed the influence process, such that the number of influenced nodes at the…

Social and Information Networks · Computer Science 2019-01-23 Justin Khim , Varun Jog , Po-Ling Loh

Viral marketing campaigns target primarily those individuals who are central in social networks and hence have social influence. Marketing events, however, may attract diverse audience. Despite the importance of event marketing, the…

Social and Information Networks · Computer Science 2022-01-04 Balázs R. Sziklai , Balázs Lengyel

In shift bribery, a briber seeks to promote his preferred candidate by paying voters to raise their ranking. Classical models of shift bribery assume voters act independently, overlooking the role of social influence. However, in reality,…

Computer Science and Game Theory · Computer Science 2025-12-10 Ashlesha Hota , Susobhan Bandopadhyay , Palash Dey

The voter model is an archetypal stochastic process that represents opinion dynamics. In each update, one agent is chosen uniformly at random. The selected agent then copies the current opinion of a randomly selected neighbour. We…

Physics and Society · Physics 2020-11-20 Michael T. Gastner , Kota Ishida

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

We study the effects of campaigning, where the society is partitioned into voter clusters and a diffusion process propagates opinions in a network connecting the clusters. Our model is very powerful and can incorporate many campaigning…

Multiagent Systems · Computer Science 2020-10-05 Piotr Faliszewski , Rica Gonen , Martin Koutecký , Nimrod Talmon
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