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This paper studies the formation of the grand coalition of a cooperative game by investigating its possible internal dynamics. Each coalition is capable of forcing all players to reconsider the current state of the game when it does not…

Theoretical Economics · Economics 2024-12-06 Dylan Laplace Mermoud

The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to its nodes. The moves of the game successively transform the numbers at…

Combinatorics · Mathematics 2008-10-31 Robert G. Donnelly

The most important challenge in Wireless Sensor Networks (WSNs) is the energy constraint. Numerous solutions have been proposed to alleviate the issue, including clustering. Game theory is an effective decision-making tool that has been…

Networking and Internet Architecture · Computer Science 2021-04-19 M. Mehdi Afsar , Trafford Crump , Behrouz Far

We introduce a new virtual environment for simulating a card game known as "Big 2". This is a four-player game of imperfect information with a relatively complicated action space (being allowed to play 1,2,3,4 or 5 card combinations from an…

Machine Learning · Computer Science 2018-09-03 Henry Charlesworth

A matrix-based framework for Bayesian games is presented, using semi-tensor product of matrices. Static Bayesian games are considered first. Matrix expression of Bayesian games is proposed. Three kinds of conversions, which convert Bayesian…

Optimization and Control · Mathematics 2021-06-24 Daizhan Cheng , Changxi Li

Rooted in collaborative efforts, cybersecurity spans the scope of cyber competitions and warfare. Despite extensive research into team strategy in sports and project management, empirical study in cyber-security is minimal. This gap…

Cryptography and Security · Computer Science 2023-07-21 Tristan J. Calay , Basheer Qolomany , Aos Mulahuwaish , Liaquat Hossain , Jacques Bou Abdo

In this thesis, we survey techniques and results from the study of Complexity Theory and Games. We then apply these techniques to obtain new results for previously unstudied games. Our contributions in the games Hexiom, Cut the Rope, and…

Computational Complexity · Computer Science 2018-07-13 Diogo M. Costa

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

We propose a type of non-cooperative game, termed multi-cluster aggregative game, which is composed of clusters as players, where each cluster consists of collaborative agents with cost functions depending on their own decisions and the…

Multiagent Systems · Computer Science 2023-05-16 Yue Chen , Peng Yi

Direct reciprocity is a well-known mechanism that could explain how cooperation emerges and prevails in an evolving population. Numerous prior researches have studied the emergence of cooperation in multiplayer games. However, most of them…

Populations and Evolution · Quantitative Biology 2021-08-25 Fang Chen , Te Wu , Guocheng Wang , Long Wang

The classification of time series data is a challenge common to all data-driven fields. However, there is no agreement about which are the most efficient techniques to group unlabeled time-ordered data. This is because a successful…

Machine Learning · Statistics 2017-10-09 Alain Saas , Anna Guitart , África Periáñez

The game of SET is a popular card game in which the objective is to form Sets using cards from a special deck. In this paper we study single- and multi-round variations of this game from the computational complexity point of view and…

Computational Complexity · Computer Science 2013-09-26 Michael Lampis , Valia Mitsou

We analyze the game of go from the point of view of complex networks. We construct three different directed networks of increasing complexity, defining nodes as local patterns on plaquettes of increasing sizes, and links as actual…

Physics and Society · Physics 2014-10-27 V. Kandiah , B. Georgeot , O. Giraud

Tensor networks provide extremely powerful tools for the study of complex classical and quantum many-body problems. Over the last two decades, the increment in the number of techniques and applications has been relentless, and especially…

Quantum Physics · Physics 2023-03-29 Mari Carmen Bañuls

Proximity preserving and structural role-based node embeddings have become a prime workhorse of applied graph mining. Novel node embedding techniques are often tested on a restricted set of benchmark datasets. In this paper, we propose a…

Social and Information Networks · Computer Science 2021-02-18 Benedek Rozemberczki , Rik Sarkar

A short review of the recent results and models of complex networks.

Condensed Matter · Physics 2007-05-23 Vito Latora , Massimo Marchiori

In this work, we introduce a game-theoretic model that assesses the cyber-security risk of cloud networks and informs security experts on the optimal security strategies. Our approach combines game theory, combinatorial optimization, and…

Optimization and Control · Mathematics 2024-04-17 Gabriele Dragotto , Amine Boukhtouta , Andrea Lodi , Mehdi Taobane

We consider a class of nonlocal games that are related to binary constraint systems (BCSs) in a manner similar to the games implicit in the work of Mermin [N.D. Mermin, "Simple unified form for the major no-hidden-variables theorems," Phys.…

Quantum Physics · Physics 2013-10-17 Richard Cleve , Rajat Mittal

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

Social and Information Networks · Computer Science 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan

In imperfect information games, the evaluation of a game state not only depends on the observable world but also relies on hidden parts of the environment. As accessing the obstructed information trivialises state evaluations, one approach…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller