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Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

Computer Science and Game Theory · Computer Science 2023-07-12 E. M. Lorits , E. A. Gubar

Human communication systems, such as language, evolve culturally; their components undergo reproduction and variation. However, a role for selection in cultural evolutionary dynamics is less clear. Often neutral evolution (also known as…

Social and Information Networks · Computer Science 2014-07-01 Nicolas Fay , Monica Tamariz , T Mark Ellison , Dale Barr

Computer modelling for evolutionary systems consists in: 1) to store in the memory the individual features of each member of a large population; and 2) to update the whole system repeatedly, as time goes by, according to some prescribed…

Statistical Mechanics · Physics 2007-05-23 Paulo Murilo Castro de Oliveira

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

Populations and Evolution · Quantitative Biology 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

This paper studies the effect of linguistic constraints on the large scale organization of language. It describes the properties of linguistic networks built using texts of written language with the words randomized. These properties are…

Computation and Language · Computer Science 2011-02-16 Madhav Krishna , Ahmed Hassan , Yang Liu , Dragomir Radev

We investigate the diffusion of linguistic innovations on a fully connected network in order to understand the emergence of linguistic diversity. We employ an agent-based dynamics based on the Axelrod model, where interactions between…

Adaptation and Self-Organizing Systems · Physics 2025-09-23 Vivian Dornelas , Celia Anteneodo , Renan Nunes , Els Heinsalu , Marco Patriarca

We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growing surfaces. It is demonstrated by numerical simulations of two variants of the model in which nodes are added as well as removed [Phys.…

Statistical Mechanics · Physics 2009-11-07 Miroslav Kotrla , Frantisek Slanina , Jakub Steiner

We develop a ``unified'' model that describes both ``micro'' and ``macro'' evolutions within a single theoretical framework. The eco-system is described as a dynamic network; the population dynamics at each node of this network describes…

Statistical Mechanics · Physics 2013-05-29 Debashish Chowdhury , Dietrich Stauffer , Ambarish Kunwar

During the last decade, much attention has been paid to language competition in the complex systems community, that is, how the fractions of speakers of several competing languages evolve in time. In this paper we review recent advances in…

Physics and Society · Physics 2012-06-15 M. Patriarca , X. Castelló , J. R. Uriarte , V. M. Eguíluz , M. San Miguel

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

Populations and Evolution · Quantitative Biology 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

We introduce a class of stochastic models for the dynamics of two linguistic variants that are competing to become the single, shared convention within an unstructured community of speakers. Different instances of the model are…

Physics and Society · Physics 2013-05-20 R. A. Blythe

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close to a boundary of marginal stability in…

adap-org · Physics 2007-05-23 Ricard V. Sole , David Alonso , Alan McKane

We consider a version of large population games whose agents compete for resources using strategies with adaptable preferences. Diversity among the agents reduces their maladpative behavior. We find interesting scaling relations with…

Condensed Matter · Physics 2007-05-23 K. Y. Michael Wong , S. W. Lim , Zhuo Gao

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Andrzej Pekalski , Marcel Ausloos

Computational modeling plays an essential role in the study of language emergence. It aims to simulate the conditions and learning processes that could trigger the emergence of a structured language within a simulated controlled…

Computation and Language · Computer Science 2024-03-19 Mathieu Rita , Paul Michel , Rahma Chaabouni , Olivier Pietquin , Emmanuel Dupoux , Florian Strub

The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population, rare mutations and small mutation steps, that lead to a…

Probability · Mathematics 2007-05-23 Nicolas Champagnat , Amaury Lambert

We analyze the geometry of the species- and genotype-size distribution in evolving and adapting populations of single-stranded self-replicating genomes: here programs in the Avida world. We find that a scale-free distribution (power law)…

adap-org · Physics 2007-05-23 Chris Adami , Ryoichi Seki , Robel Yirdaw

We describe a simple model of evolution which incorporates the branching and extinction of species lines, and also includes abiotic influences. A first principles approach is taken in which the probability for speciation and extinction are…

adap-org · Physics 2008-02-03 D. A. Head , G. J. Rodgers

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert