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The Letter presents a novel way to connect random walks, stochastic differential equations, and evolutionary game theory. We introduce a new concept of potential function for discrete-space stochastic systems. It is based on a…

Populations and Evolution · Quantitative Biology 2018-01-25 Paweł Nałęcz-Jawecki , Jacek Miękisz

We find that the existence of self-organization of the members of a recently proposed minority game, depends on the type of update rules used. The resulting resource distribution is studied in some detail, and a related strategy scheme is…

Condensed Matter · Physics 2009-10-31 Horacio Ceva

I briefly explore some relevant connections and differences between the evolutionary paths of dwarf galaxies and globular clusters.

Astrophysics of Galaxies · Physics 2012-10-24 Michele Bellazzini

Cooperation is ubiquitous across all levels of biological systems ranging from microbial communities to human societies. It, however, seemingly contradicts the evolutionary theory, since cooperators are exploited by free-riders and thus are…

Populations and Evolution · Quantitative Biology 2019-09-23 Yunming Xiao , Bin Wu

This paper is concerned with a mathematical model of competition for resource where species consume noninteracting resources. This system of differential equations is formally obtained by renormalizing the MacArthur's competition model at…

Dynamical Systems · Mathematics 2020-07-27 Wenli Cai , Hailiang Liu

Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level of the system as a whole are phenomena that appear during…

adap-org · Physics 2007-05-23 Vivek S. Borkar , Sanjay Jain , Govindan Rangarajan

We consider evolutionary dynamics for population games in which players have a continuum of strategies at their disposal. Models in this setting amount to infinite-dimensional differential equations evolving on the manifold of probability…

Dynamical Systems · Mathematics 2025-04-23 Brendon G. Anderson , Jingqi Li , Somayeh Sojoudi , Murat Arcak

We explore the emergence of cooperation in the framework of evolutionary game theory. First we introduce the cooperation problem in a novel way that we believe it have important consequences in how problem is addressed. Then we present a…

Computer Science and Game Theory · Computer Science 2012-08-09 Ignacio Gomez Portillo

We present a detailed discussion of the role played by memory, and the nature of self-induced shocks, in an evolutionary population competing for limited resources. Our study builds on a previously introduced multi-agent system [Phys. Rev.…

Statistical Mechanics · Physics 2009-11-10 Roland Kay , Neil F. Johnson

I comment on a paper by S. B. Goryachev [PRL vol 72, p.1850 (1994)] that presents a theory of non-equilibrium dynamics for scalar systems quenched into an ordered phase. Goryachev incorrectly applies only a global conservation constraint to…

Condensed Matter · Physics 2009-10-22 A. D. Rutenberg

The results are still valid, however this letter is superceeded by a significantly extended version which is available at astro-ph/0003358 and is scheduled for publication in the ApJ Dec. 10, 2000. We have withdrawn this letter to avoid…

Astrophysics · Physics 2007-05-23 Claus Beisbart , Martin Kerscher

I comment on the paper hep-th/9808013 by A. Berkovich and B.M. McCoy.

High Energy Physics - Theory · Physics 2007-05-23 K. Schoutens

We comment on a recent paper [D. Schultz et al, Phys. REv. Lett. 90, 015501 (2003)]. We argue that a highly systematical investigation is needed to determine the most stable structures of both pristine and N-substituted fullerenes.

Materials Science · Physics 2007-05-23 Guangyu Sun , Rui-Hua Xie , Mark C. Nicklaus

Three-body effects greatly complicate stellar evolution. We model the effects of encounters of binaries with single stars, based on parameters chosen from conditions prevalent in the cores of globular clusters. For our three-body…

Astrophysics · Physics 2009-09-25 Simon F. Portegies Zwart , Piet Hut , Stephen L. W. McMillan , Frank Verbunt

This is a Comment on the Article ``Aging, phase ordering and conformal invariance'' by M.Henkel, M.Pleimling, C.Godr\`eche and J.M.Luck [Phys.Rev.Lett. 87, 265701 (2001)].

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We introduce and motivate the study of hypergraphical clustering games of mis-coordination. For two specific variants we prove the existence of a pure Nash equilibrium and provide bounds on the price of anarchy as a function of the…

Combinatorics · Mathematics 2017-12-05 Rann Smorodinsky , Shakhar Smorodinsky

In this paper, we consider a two-player two-strategy game with random payoffs in a population subdivided into $d$ demes, each containing $N$ individuals at the beginning of any given generation and experiencing local extinction and…

Populations and Evolution · Quantitative Biology 2023-11-02 Dhaker Kroumi , Sabin Lessard

We present two different projects. The first one is related to the development of a semi-analytic model to follow the formation, the evolution and chemical enrichment of cluster galaxies in a hierarchical dark matter model. The second…

Astrophysics · Physics 2007-05-23 Gabriella De Lucia , Guinevere Kauffmann , Simon D. M. White

The theory of evolutionary computation for discrete search spaces has made significant progress in the last ten years. This survey summarizes some of the most important recent results in this research area. It discusses fine-grained models…

Neural and Evolutionary Computing · Computer Science 2021-11-01 Benjamin Doerr , Frank Neumann
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