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Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

计算复杂性 · 计算机科学 2009-09-25 Erik D. Demaine , Robert A. Hearn

The very notion of social network implies that linked individuals interact repeatedly with each other. This allows them not only to learn successful strategies and adapt to them, but also to condition their own behavior on the behavior of…

物理与社会 · 物理学 2015-05-27 Luca Dall'Asta , Matteo Marsili , Paolo Pin

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

混沌动力学 · 物理学 2011-09-22 Tobias Galla , J. Doyne Farmer

Characterizing the community structure of complex networks is a key challenge in many scientific fields. Very diverse algorithms and methods have been proposed to this end, many working reasonably well in specific situations. However, no…

物理与社会 · 物理学 2013-01-01 Rodrigo Aldecoa , Ignacio Marín

We study the structure of the underlying network of connections in the Minority Game. There is not an explicit interaction among the agents, but they interact via global magnitudes of the model and mainly through their strategies. We define…

物理与社会 · 物理学 2008-02-06 Ines Caridi , Horacio Ceva

Being able to recommend links between users in online social networks is important for users to connect with like-minded individuals as well as for the platforms themselves and third parties leveraging social media information to grow their…

社会与信息网络 · 计算机科学 2022-06-29 Mustafa Toprak , Chiara Boldrini , Andrea Passarella , Marco Conti

Networks provide a powerful formalism for modeling complex systems by using a model of pairwise interactions. But much of the structure within these systems involves interactions that take place among more than two nodes at once; for…

社会与信息网络 · 计算机科学 2018-12-13 Austin R. Benson , Rediet Abebe , Michael T. Schaub , Ali Jadbabaie , Jon Kleinberg

We introduce open games as a compositional foundation of economic game theory. A compositional approach potentially allows methods of game theory and theoretical computer science to be applied to large-scale economic models for which…

计算机科学与博弈论 · 计算机科学 2018-02-16 Neil Ghani , Jules Hedges , Viktor Winschel , Philipp Zahn

In this article, we study the decision-making process of chess players by using a chess engine to evaluate the moves across different pools of games. We quantified the decisiveness of each move during the games using a metric derived from…

物理与社会 · 物理学 2025-06-13 A. Chacoma , O. V. Billoni

Graph theoretical approach has proved an effective tool to understand, characterize and quantify the complex brain network. However, much less attention has been paid to methods that quantitatively compare two graphs, a crucial issue in the…

神经元与认知 · 定量生物学 2019-08-29 Ahmad Mheich , Fabrice Wendling , Mahmoud Hassan

We propose the concept of open network as an arbitrary selection of nodes of a large unknown network. Using the hypothesis that information of the whole network structure can be extrapolated from an arbitrary set of its nodes, we use Renyi…

无序系统与神经网络 · 物理学 2009-11-13 V. Gudkov , V. Montealegre

In computer science, there is a distinction between closed systems, whose behavior is totally determined in advance, and open systems, that are systems maintaining a constant interaction with an unspecified environment. Closed systems are…

计算机科学中的逻辑 · 计算机科学 2009-11-18 Axel Legay , Marco Faella

With increasing game size, a problem of computational complexity arises. This is especially true in real world problems such as in social systems, where there is a significant population of players involved in the game, and the complexity…

计算机科学与博弈论 · 计算机科学 2016-09-12 Tatsuya Iwase , Takahiro Shiga

Since the advent of computers, many tasks which required humans to spend a lot of time and energy have been trivialized by the computers' ability to perform repetitive tasks extremely quickly. Playing chess is one such task. It was one of…

人工智能 · 计算机科学 2017-08-22 Rahul Aralikatte , G Srinivasaraghavan

Social network analysis is a popular discipline among the social and behavioural sciences, in which the relationships between different social entities are modelled as a network. One of the most popular problems in social network analysis…

社会与信息网络 · 计算机科学 2022-08-30 Javier Fumanal-Idocin , Oscar Cordón , María Minárová , Amparo Alonso-Betanzos , Humberto Bustince

We present an end-to-end learning method for chess, relying on deep neural networks. Without any a priori knowledge, in particular without any knowledge regarding the rules of chess, a deep neural network is trained using a combination of…

神经与进化计算 · 计算机科学 2017-11-28 Eli David , Nathan S. Netanyahu , Lior Wolf

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

计算机科学与博弈论 · 计算机科学 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

Complex systems show the capacity to aggregate information and to display coordinated activity. In the case of social systems the interaction of different individuals leads to the emergence of norms, trends in political positions, opinions,…

物理与社会 · 物理学 2016-04-25 Toni Pérez , Jordi Zamora , Víctor M. Eguíluz

In this Letter we present a new perspective for the study of the Public Goods games on complex networks. The idea of our approach is to consider a realistic structure for the groups in which Public goods games are played. Instead of…

物理与社会 · 物理学 2015-05-30 Jesús Gómez-Gardeñes , Daniele Vilone , Angel Sánchez

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

适应与自组织系统 · 物理学 2007-05-23 David H. Wolpert