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We consider a wireless communication system in which $N$ transmitter-receiver pairs want to communicate with each other. Each transmitter transmits data at a certain rate using a power that depends on the channel gain to its receiver. If a…

Information Theory · Computer Science 2016-02-04 Krishna Chaitanya A , Vinod Sharma , Utpal Mukherji

The computational study of election problems generally focuses on questions related to the winner or set of winners of an election. But social preference functions such as Kemeny rule output a full ranking of the candidates (a consensus).…

Computer Science and Game Theory · Computer Science 2021-05-19 Zack Fitzsimmons , Edith Hemaspaandra

We provide experimental evaluation of a number of known and new algorithms for approximate computation of Monroe's and Chamberlin-Courant's rules. Our experiments, conducted both on real-life preference-aggregation data and on synthetic…

Multiagent Systems · Computer Science 2013-01-29 Piotr Skowron , Piotr Faliszewski , Arkadii Slinko

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

An inconsistent knowledge base can be abstracted as a set of arguments and a defeat relation among them. There can be more than one consistent way to evaluate such an argumentation graph. Collective argument evaluation is the problem of…

Artificial Intelligence · Computer Science 2017-06-20 Edmond Awad , Martin Caminada , Gabriella Pigozzi , Mikołaj Podlaszewski , Iyad Rahwan

With the rapid advancement of UAV technology, the problem of UAV coalition formation has become a hotspot. Therefore, designing task-driven multi-UAV coalition formation mechanism has become a challenging problem. However, existing…

Computer Science and Game Theory · Computer Science 2024-03-11 Xinpeng Lu , Heng Song , Huailing Ma , Junwu Zhu

Distributed optimization and Nash equilibrium (NE) seeking problems have drawn much attention in the control community recently. This paper studies a class of non-cooperative games, known as N-cluster game, which subsumes both cooperative…

Optimization and Control · Mathematics 2023-03-01 Yipeng Pang , Guoqiang Hu

Coalition formation is concerned with the question of how to partition a set of agents into disjoint coalitions according to their preferences. Deviating from most of the previous work, we consider an online variant of the problem, where…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , René Romen

We study conditions for the existence of stable and group-strategy-proof mechanisms in a many-to-one matching model with contracts if students' preferences are monotone in contract terms. We show that "equivalence", properly defined, to a…

Theoretical Economics · Economics 2021-07-13 Jan Christoph Schlegel

We present a fascinating model that has lately caught attention among physicists working in complexity related fields. Though it originated from mathematics and later from economics, the model is very enlightening in many aspects that we…

Physics and Society · Physics 2021-03-23 Enrico Maria Fenoaltea , Izat B. Baybusinov , Jianyang Zhao , Lei Zhou , Yi-Cheng Zhang

In a strategic form game a strategy profile is an equilibrium if no viable coalition of agents (or players) benefits (in the Pareto sense) from jointly changing their strategies. Weaker or stronger equilibrium notions can be defined by…

Computer Science and Game Theory · Computer Science 2019-10-11 Bugra Caskurlu , Ozgun Ekici , Fatih Erdem Kizilkaya

In this paper two algorithms with the goal of generating the equilibrium set of the power allocation game first developed in \cite{allocation} are proposed. Based on the first algorithm, the geometric property of the pure strategy Nash…

Computer Science and Game Theory · Computer Science 2018-05-08 Yuke Li , Jiahua Yue , Fengjiao Liu , A. Stephen Morse

In this paper we introduce a capacity allocation game which models the problem of maximizing network utility from the perspective of distributed noncooperative agents. Motivated by the idea of self-managed networks, in the developed…

Computer Science and Game Theory · Computer Science 2013-07-23 Dariusz Gcasior , Maciej Drwal

Pole-swapping algorithms are generalizations of bulge-chasing algorithms for the generalized eigenvalue problem. Structure-preserving pole-swapping algorithms for the palindromic and alternating eigenvalue problems, which arise in control…

Numerical Analysis · Mathematics 2019-12-11 Thomas Mach , Thijs Steel , Raf Vandebril , David S. Watkins

We study (coalitional) exchange stability, which Alcalde [Economic Design, 1995] introduced as an alternative solution concept for matching markets involving property rights, such as assigning persons to two-bed rooms. Here, a matching of a…

Computer Science and Game Theory · Computer Science 2021-05-18 Jiehua Chen , Adrian Chmurovic , Fabian Jogl , Manuel Sorge

In the computational social choice literature, there has been great interest in understanding how computational complexity can act as a barrier against manipulation of elections. Much of this literature, however, makes the assumption that…

Computer Science and Game Theory · Computer Science 2015-07-27 Vijay Menon , Kate Larson

A $p$-beauty contest is a wide class of games of guessing the most popular strategy among other players. In particular, guessing a fraction of a mean of numbers chosen by all players is a classic behavioral experiment designed to test…

General Economics · Economics 2025-10-23 Iuliia Alekseenko , Dmitry Dagaev , Sofia Paklina , Petr Parshakov

Representation languages for coalitional games are a key research area in algorithmic game theory. There is an inherent tradeoff between how general a language is, allowing it to capture more elaborate games, and how hard it is…

Computer Science and Game Theory · Computer Science 2015-03-19 Yoram Bachrach , Pushmeet Kohli , Vladimir Kolmogorov , Morteza Zadimoghaddam

This paper focuses on the fundamental challenge of partitioning input variables in attribution methods for Explainable AI, particularly in Shapley value-based approaches. Previous methods always compute attributions given a predefined…

Machine Learning · Computer Science 2026-02-25 Xinhao Zheng , Huiqi Deng , Quanshi Zhang

The probabilistic serial (PS) rule is one of the most prominent randomized rules for the assignment problem. It is well-known for its superior fairness and welfare properties. However, PS is not immune to manipulative behaviour by the…

Computer Science and Game Theory · Computer Science 2014-01-28 Haris Aziz , Serge Gaspers , Nick Mattei , Nina Narodytska , Toby Walsh
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