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We study the population genetics of Evolution in the important special case of weak selection, in which all fitness values are assumed to be close to one another. We show that in this regime natural selection is tantamount to the…

Computer Science and Game Theory · Computer Science 2012-08-16 Erick Chastain , Adi Livnat , Christos Papadimitriou , Umesh Vazirani

We investigate the dynamics of a conservative version of Conway's Game of Life, in which a pair consisting of a dead and a living cell can switch their states following Conway's rules but only by swapping their positions, irrespective of…

Statistical Mechanics · Physics 2021-02-03 Andre P. Vieira , Eric Goles , Hans J. Herrmann

We propose a generic model of eco-systems, with a {\it hierarchical} food web structure. In our computer simulations we let the eco-system evolve continuously for so long that that we can monitor extinctions as well as speciations over…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

We investigate the evolutionary dynamics of an idealised model for the robust self-assembly of two-dimensional structures called polyominoes. The model includes rules that encode interactions between sets of square tiles that drive the…

Populations and Evolution · Quantitative Biology 2013-09-03 Iain G. Johnston , Sebastian A. Ahnert , Jonathan P. K. Doye , Ard A. Louis

In evolutionary game theory, an important measure of a mutant trait (strategy) is its ability to invade and take over an otherwise-monomorphic population. Typically, one quantifies the success of a mutant strategy via the probability that a…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert

Due to the relevance for conservation biology, there is an increasing interest to extend evolutionary genomics models to plant, animal or microbial species. However, this requires to understand the effect of life-history traits absent in…

Populations and Evolution · Quantitative Biology 2021-11-16 Johannes Müller , Aurélien Tellier

Involution, a phenomenon of excessive competition with diminishing returns, has become a pressing socio-economic concern in contemporary China, prompting both academic inquiry and policy interventions. This paper proposes an evolutionary…

Physics and Society · Physics 2026-03-16 Bo Li , Qiwen Ge , Yong Shi

We present a new extension of Conway's game of life for two players, which we call p2life. P2life allows one of two types of token, black or white, to inhabit a cell, and adds competitive elements into the birth and survival rules of the…

Soft Condensed Matter · Physics 2009-11-07 Mark Levene , George Roussos

Evolutionary game theory is an abstract and simple, but very powerful way to model evolutionary dynamics. Even complex biological phenomena can sometimes be abstracted to simple two-player games. But often, the interaction between several…

Populations and Evolution · Quantitative Biology 2011-06-22 Chaitanya S. Gokhale , Arne Traulsen

How multicellular life forms evolved out from unicellular ones constitutes a major problem in our understanding of the evolution of our biosphere. A recent set of experiments involving yeast cell populations has shown that selection for…

Populations and Evolution · Quantitative Biology 2015-11-10 Salva Duran-Nebreda , Ricard V. Solé

We propose a sparsity-aware evolutionary (SAE) framework for model merging that involves iterative pruning-merging cycles to act as a novel mutation operator. We incorporate the sparsity constraints into the score function, which steers the…

Machine Learning · Computer Science 2026-02-10 Huan Zhang , Yanjian Zhang , Guillaume Wisniewski , Nadi Tomeh , Bang Liu

It is known that learning of players who interact in a repeated game can be interpreted as an evolutionary process in a population of ideas. These analogies have so far mostly been established in deterministic models, and memory loss in…

Populations and Evolution · Quantitative Biology 2018-04-09 Robin Nicole , Peter Sollich , Tobias Galla

Motivated by the evolution of complex bird songs, an abstract imitation game is proposed to study the increase of dynamical complexity: Artificial "birds" display a "song" time series to each other, and those that imitate the other's song…

adap-org · Physics 2008-06-25 Kunihiko Kaneko , Junji Suzuki

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows to introduce elements of novelty, while the latter is responsible for the motion of a system in its phase…

Physics and Society · Physics 2018-04-11 Marco Antonio Amaral , Marco Alberto Javarone

John H. Conway's Game of Life, as well as cellular automata in the larger family of Life-like CA, are discrete: the cells have a binary state space and the birth and survival transition rules are 9-bits apiece. Inspired by Life, several…

Cellular Automata and Lattice Gases · Physics 2022-08-22 Q. Tyrell Davis

The understanding and acceptance of evolution by natural selection has become a difficult issue in many parts of the world, particularly the United States of America. The use of games to improve intuition about evolution via natural…

Neural and Evolutionary Computing · Computer Science 2020-07-09 Anya E. Vostinar , Barbara Z. Johnson , Kevin Connors

Stochastic models that incorporate birth, death and immigration (also called birth-death and innovation models) are ubiquitous and applicable to many research topics such as quantifying species sizes in ecological populations, describing…

Populations and Evolution · Quantitative Biology 2026-05-12 Renaud Dessalles , Maria D'Orsogna , Tom Chou

A model of pattern formation in living systems is presented. The pattern is achieved by the sequential interaction of two signaling pathways. The coupling of the pattern to the (thick) epithelial sheet changes is given, when the Gauss…

Tissues and Organs · Quantitative Biology 2009-05-11 Frederick W. Cummings

Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator-prey equations that describe the population dynamics of the species for any structure of the food…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Christopher Quince , Paul G. Higgs , Alan J. McKane

We introduce a model called Host-Pathogen game for studying biological competitions. Notably, we focus on the invasive dynamics of external agents, like bacteria, within a host organism. The former are mapped to a population of defectors…

Populations and Evolution · Quantitative Biology 2018-09-03 Marco Alberto Javarone