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We introduce a prime number generator in the form of a stochastic algorithm. The character of such algorithm gives rise to a continuous phase transition which distinguishes a phase where the algorithm is able to reduce the whole system of…

Computational Complexity · Computer Science 2009-11-13 Lucas Lacasa , Bartolo Luque , Octavio Miramontes

Iterated coopetitive games capture the situation when one must efficiently balance between cooperation and competition with the other agents over time in order to win the game (e.g., to become the player with highest total utility).…

Computer Science and Game Theory · Computer Science 2022-03-11 Shivakumar Mahesh , Nicholas Bishop , Le Cong Dinh , Long Tran-Thanh

We study control problems in the context of matching under preferences: We examine how a central authority, called the controller, can manipulate an instance of the Stable Marriage or Stable Roommates problems in order to achieve certain…

Computer Science and Game Theory · Computer Science 2025-02-04 Jiehua Chen , Ildikó Schlotter

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

It is important to understand how the outcome of an election can be modified by an agent with control over the structure of the election. Electoral control has been studied for many election systems, but for all studied systems the winner…

Computer Science and Game Theory · Computer Science 2018-11-14 Zack Fitzsimmons , Edith Hemaspaandra , Alexander Hoover , David E. Narváez

A promising approach to achieve computational supremacy over the classical von Neumann architecture explores classical and quantum hardware as Ising machines. The minimisation of the Ising Hamiltonian is known to be NP-hard problem for…

Quantum Physics · Physics 2020-08-04 Kirill P. Kalinin , Natalia G. Berloff

Fairness in multiwinner elections, a growing line of research in computational social choice, primarily concerns the use of constraints to ensure fairness. Recent work proposed a model to find a diverse \emph{and} representative committee…

Computer Science and Game Theory · Computer Science 2022-11-28 Kunal Relia

The quest for quantum computers is motivated by their potential for solving problems that defy existing, classical, computers. The theory of computational complexity, one of the crown jewels of computer science, provides a rigorous…

Statistical Mechanics · Physics 2010-09-10 C. R. Laumann , R. Moessner , A. Scardicchio , S. L. Sondhi

Today, Internet involves many actors who are making revenues on it (operators, companies, service providers,...). It is therefore important to be able to make fair decisions in this large-scale and highly competitive economical ecosystem.…

Networking and Internet Architecture · Computer Science 2012-05-01 François Durand , Fabien Mathieu , Ludovic Noirie

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

The successive and the amendment procedures have been widely employed in parliamentary and legislative decision making and have undergone extensive study in the literature from various perspectives. However, investigating them through the…

Computer Science and Game Theory · Computer Science 2025-03-19 Yongjie Yang

We propose a simple method for combining together voting rules that performs a run-off between the different winners of each voting rule. We prove that this combinator has several good properties. For instance, even if just one of the base…

Artificial Intelligence · Computer Science 2012-03-15 Nina Narodytska , Toby Walsh , Lirong Xia

Manipulation models for electoral systems are a core research theme in social choice theory; they include bribery (unweighted, weighted, swap, shift, ...), control (by adding or deleting voters or candidates), lobbying in referenda and…

Multiagent Systems · Computer Science 2018-01-30 Dušan Knop , Martin Koutecký , Matthias Mnich

Coalition formation is a key problem in automated negotiation among self-interested agents, and other multiagent applications. A coalition of agents can sometimes accomplish things that the individual agents cannot, or can do things more…

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

The stable marriage and stable roommates problems have been extensively studied due to their high applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet…

Computer Science and Game Theory · Computer Science 2022-04-29 Kristóf Bérczi , Gergely Csáji , Tamás Király

Do runoff elections, using the same voting rule as the initial election but just on the winning candidates, increase or decrease the complexity of manipulation? Does allowing revoting in the runoff increase or decrease the complexity…

Computer Science and Game Theory · Computer Science 2014-06-23 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

Artificial Intelligence (AI) systems are increasingly used in high-stakes domains of our life, increasing the need to explain these decisions and to make sure that they are aligned with how we want the decision to be made. The field of…

Artificial Intelligence · Computer Science 2023-06-28 Sofie Goethals , David Martens , Theodoros Evgeniou

In real-world systems, phase transitions often materialize abruptly, making it difficult to design appropriate controls that help uncover underlying processes. Some agent-based computational models display transformations similar to phase…

Physics and Society · Physics 2018-10-10 S. S. Chanda , B. McKelvey

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 study the complexity of winner determination in single-crossing elections under two classic fully proportional representation rules---Chamberlin--Courant's rule and Monroe's rule. Winner determination for these rules is known to be…

Computer Science and Game Theory · Computer Science 2013-07-05 Piotr Skowron , Lan Yu , Piotr Faliszewski , Edith Elkind