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Whether or not to change strategy depends not only on the personal success of each individual, but also on the success of others. Using this as motivation, we study the evolution of cooperation in games that describe social dilemmas, where…

Physics and Society · Physics 2012-08-21 Attila Szolnoki , Zhen Wang , Matjaz Perc

The spatial dispersal of individuals is known to play an important role in the dynamics of populations, and is central to metapopulation theory. At the same time, local adaptation to environmental conditions creates a geographic mosaic of…

Populations and Evolution · Quantitative Biology 2017-09-25 Justin D. Yeakel , Jean P. Gibert , Peter A. H. Westley , Jonathan W. Moore

Understanding why we age is a long-lived open problem in evolutionary biology. Aging is prejudicial to the individual and evolutionary forces should prevent it, but many species show signs of senescence as individuals age. Here, I will…

Populations and Evolution · Quantitative Biology 2012-01-24 André C. R. Martins

We consider a stochastic model for evolution of group-structured populations in which interactions between group members correspond to the Prisoner's Dilemma or the Hawk-Dove game. Selection operates at two organization levels: individuals…

Populations and Evolution · Quantitative Biology 2019-04-12 Daniel B. Cooney

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

We consider the evolutionary trajectories traced out by an infinite population undergoing mutation-selection dynamics in static, uncorrelated random fitness landscapes. Starting from the population that consists of a single genotype, the…

Populations and Evolution · Quantitative Biology 2009-11-11 Kavita Jain , Joachim Krug

We consider an asexual population under strong selection-weak mutation conditions evolving on rugged fitness landscapes with many local fitness peaks. Unlike the previous studies in which the initial fitness of the population is assumed to…

Populations and Evolution · Quantitative Biology 2011-11-18 Kavita Jain , Sarada Seetharaman

On rugged fitness landscapes where sign epistasis is common, adaptation can often involve either individually beneficial "uphill" mutations or more complex mutational trajectories involving fitness valleys or plateaus. The dynamics of the…

Populations and Evolution · Quantitative Biology 2015-10-06 Ian E. Ochs , Michael M. Desai

Selection shapes all kinds of behaviors, including how we make decisions under uncertainty. The risk attitude reflected from it should be simple, flexible, yet consistent. In this paper we engaged evolutionary dynamics to find the decision…

Theoretical Economics · Economics 2022-06-22 Songjia Fan , Yi Tao , Cong Li

We study an evolutionary spatial prisoner's dilemma game where the fitness of the players is determined by both the payoffs from the current interaction and their history. We consider the situation where the selection timescale is slower…

Physics and Society · Physics 2009-09-15 Zhi-Xi Wu , Zhihai Rong , Petter Holme

Evolutionary game dynamics describes the spreading of successful strategies in a population of reproducing individuals. Typically, the microscopic definition of strategy spreading is stochastic, such that the dynamics becomes deterministic…

Populations and Evolution · Quantitative Biology 2015-05-13 Philipp M. Altrock , Arne Traulsen

Our theoretical understanding of crossover is limited by our ability to analyze how population diversity evolves. In this study, we provide one of the first rigorous analyses of population diversity and optimization time in a setting where…

Neural and Evolutionary Computing · Computer Science 2024-04-19 Sacha Cerf , Johannes Lengler

We study a continuous time model for the frequency distribution of an infinitely large asexual population in which both beneficial and deleterious mutations occur and the fitness is additive. When beneficial mutations are ignored, the exact…

Populations and Evolution · Quantitative Biology 2016-10-27 Kavita Jain , Sona John

Reproductive success and survival are influenced by wealth in human populations. Wealth is transmitted to offsprings and strategies of transmission vary over time and among populations, the main variation being how equally wealth is…

Physics and Society · Physics 2015-06-23 G. Augustins , L. Etienne , J-B. Ferdy , R. Ferrer , B. Godelle , E. Pitard , F. Rousset

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

Evolution by Natural Selection is a process by which progeny inherit some properties from their progenitors with small variation. These properties are subject to Natural Selection and are called adaptive traits and carriers of the latter…

Analysis of PDEs · Mathematics 2024-01-29 Gonzalo Galiano , Yosef Cohen

Population diversity is crucial in evolutionary algorithms as it helps with global exploration and facilitates the use of crossover. Despite many runtime analyses showing advantages of population diversity, we have no clear picture of how…

Neural and Evolutionary Computing · Computer Science 2023-04-20 Johannes Lengler , Andre Opris , Dirk Sudholt

We study the influence of stochastic effects due to finite population size in the evolutionary dynamics of populations interacting in the multi-person Prisoner's Dilemma game. This paper is an extension of the investigation presented in a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

In the original Evolutionary Minority Game, a segregation into two populations with opposing preferences is observed under many circumstances. We show that this segregation becomes more pronounced and more robust if the dynamics are changed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Richard Metzler , Christian Horn