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The study of societies of adaptive agents seeking minority status is an active area of research. Recently, it has been demonstrated that such systems display an intriguing phase-transition: agents tend to {\it self-segregate} or to {\it…

Condensed Matter · Physics 2009-11-07 Ehud Nakar , Shahar Hod

Coordination games are important to explain efficient and desirable social behavior. Here we study these games by extensive numerical simulation on networked social structures using an evolutionary approach. We show that local network…

Physics and Society · Physics 2010-11-24 Marco Tomassini , Enea Pestelacci

In this review, we summarize recent developments in stochastic evolutionary game dynamics of finite populations.

Populations and Evolution · Quantitative Biology 2008-11-24 Arne Traulsen , Christoph Hauert

A Comment on the Letter by P. Kratzer and M. Scheffler, Phys. Rev. Lett. 88, 036102 (2002).

Materials Science · Physics 2007-05-23 Makoto Itoh

Reply to a comment by T. Rakovszky, F. Pollmann, and C. W von Keyserlingk [arXiv:2010.07969].

Strongly Correlated Electrons · Physics 2021-06-16 Marko Znidaric

Star clusters - open and globulars - experience dynamical evolution on time scales shorter than their age. Consequently, open and globular clusters provide us with unique dynamical laboratories for learning about two-body relaxation, mass…

Astrophysics · Physics 2007-05-23 Georges Meylan

This is the revised version of a Comment on a paper by C. Escudero (Phys. Rev. Lett. 100, 116101, 2008; arXiv:0804.1898).

Statistical Mechanics · Physics 2009-11-13 Joachim Krug

Comment on ``Microarrays, Empirical Bayes and the Two-Group Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 T. Tony Cai

Comment on ``Microarrays, Empirical Bayes and the Two-Groups Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 Kenneth Rice , David Spiegelhalter

Comment on ``Microarrays, Empirical Bayes and the Two-Groups Model'' [arXiv:0808.0572]

Methodology · Statistics 2008-08-06 Yoav Benjamini

This brief discusses evolutionary game theory as a powerful and unified mathematical tool to study evolution of collective behaviours. It summarises some of my recent research directions using evolutionary game theory methods, which include…

Multiagent Systems · Computer Science 2023-11-27 The Anh Han

In this paper, the problem of self-organizing, correlation-aware clustering is studied for a dense network of machine-type devices (MTDs) deployed over a cellular network. In dense machine-to-machine networks, MTDs are typically located…

Computer Science and Game Theory · Computer Science 2018-03-02 Nicole Sawyer , Mehdi Naderi Soorki , Walid Saad , David B. Smith

This paper introduces a model based upon games on an evolving network, and develops three clustering algorithms according to it. In the clustering algorithms, data points for clustering are regarded as players who can make decisions in…

Machine Learning · Computer Science 2010-03-22 Qiang Li , Zhuo Chen , Yan He , Jing-ping Jiang

In evolutionary game theory an Evolutionarily Stable Strategy (ESS) is a refinement of the Nash equilibrium concept that is sometimes also recognized as evolutionary stability. It is a game-theoretic model, well known to mathematical…

Quantum Physics · Physics 2016-12-21 Azhar Iqbal , Taksu Cheon

The original version of the paper was published in Contemporary Mathematics 378 ``Groups, Languages, Algorithms''; 2005, pp. 319-348. This is a modified version with Appendix that holds a corrected formulation of Proposition 4.1.

Group Theory · Mathematics 2007-05-23 E. S. Esyp , I. V. Kazachkov , V. N. Remeslennikov

This paper is devoted to study a model of individual clustering with two specific reproduction rates in two space dimensions. Given q > 2 and an initial condition in W 1,q (\Omega), the local existence and uniqueness of solution have been…

Analysis of PDEs · Mathematics 2013-02-04 Elissar Nasreddine

A binary game is introduced and analysed. N players have to choose one of the two sides independently and those on the minority side win. Players uses a finite set of ad hoc strategies to make their decision, based on the past record. The…

adap-org · Physics 2015-06-24 Damien Challet , Yi-Cheng Zhang

Comment on the Letter ``Polynomial-Time Simulation of Pairing Models on a Quantum Computer'', L. A. Wu, M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. 89, 057904 (2002).

Quantum Physics · Physics 2009-11-10 J. Dukelsky , J. M. Roman , G. Sierra

This addendum adds some comments to a published paper (B. Schroer, Class. Quantum Grav. 23, (2006) 5227) on area density of localization-entropy. The setting of holography and localization-entropy is generalized to double cones and black…

High Energy Physics - Theory · Physics 2007-12-06 Bert Schroer

We revisit in this paper the relation between evolution of species and the mathematical tool of evolutionary games, which has been used to model and predict it. We indicate known shortcoming of this model that restricts the capacity of…

Computer Science and Game Theory · Computer Science 2014-09-29 Ilaria Brunetti , Rachid El-Azouzi , Eitan Altman