Evolutionary Dynamics On Random Structures

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Evolutionary Dynamics on Random Structures

Author :
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (684 download)

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Book Synopsis Evolutionary Dynamics on Random Structures by :

Download or read book Evolutionary Dynamics on Random Structures written by and published by . This book was released on 1997 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors consider the evolutionary dynamics of populations of sequences, under a process of selection at the phenotypic level of structures. They use a simple graph-theoretic representation of structures which captures well the properties of the mapping between RNA sequences and their molecular structure. Each sequence is assigned to a structure by means of a sequence-to-structure mapping. The authors make the basic assumption that every fitness landscape can be factorized through the structures. The set of all sequences that map into a particular random structure can then be modeled as a random graph in sequence space, the so-called neutral network. They analyze in detail how an evolving population searches for new structures, in particular how they switch from one neutral network to another. They verify that transitions occur directly between neutral networks, and study the effects of different population sizes and the influence of the relatedness of the structures on these transitions. In fitness landscapes where several structures exhibit high fitness, the authors then study evolutionary paths on the structural level taken by the population during its search. They present a new way of expressing structural similarities which are shown to have relevant implications for the time evolution of the population.

Evolutionary Dynamics

Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 0674417755
Total Pages : 390 pages
Book Rating : 4.6/5 (744 download)

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Book Synopsis Evolutionary Dynamics by : Martin A. Nowak

Download or read book Evolutionary Dynamics written by Martin A. Nowak and published by Harvard University Press. This book was released on 2006-09-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Evolutionary Dynamics and Extensive Form Games

Author : Ross Cressman
Publisher : MIT Press
ISBN 13 : 9780262033053
Total Pages : 346 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Evolutionary Dynamics and Extensive Form Games by : Ross Cressman

Download or read book Evolutionary Dynamics and Extensive Form Games written by Ross Cressman and published by MIT Press. This book was released on 2003 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary game theory attempts to predict individual behavior (whether of humans or other species) when interactions between individuals are modeled as a noncooperative game. Most dynamic analyses of evolutionary games are based on their normal forms, despite the fact that many interesting games are specified more naturally through their extensive forms. Because every extensive form game has a normal form representation, some theorists hold that the best way to analyze an extensive form game is simply to ignore the extensive form structure and study the game in its normal form representation. This book rejects that suggestion, arguing that a game's normal form representation often omits essential information from the perspective of dynamic evolutionary game theory.

Evolutionary Dynamics

Author : James Patrick Crutchfield
Publisher : Oxford University Press, USA
ISBN 13 : 9780195142655
Total Pages : 492 pages
Book Rating : 4.1/5 (426 download)

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Book Synopsis Evolutionary Dynamics by : James Patrick Crutchfield

Download or read book Evolutionary Dynamics written by James Patrick Crutchfield and published by Oxford University Press, USA. This book was released on 2003 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 14 chapters of this volume, which present an overview of new research in evolutionary dynamics, were first presented at a conference held in October 1998 at the Santa Fe Institute. The main divisions of the book are macroevolution; epochal evolution; population genetics, dynamics, and optimization; and evolution of cooperation. Individual topics include spectral landscape theory, external triggers in biological evolution, and evolutionary dynamics of asexual reproduction. Several of the contributors, like the editors, are affiliated with the Sante Fe Institute; others teach or work in physics, genetics, biology, computational neuroscience, and theoretical chemistry at universities and private institutions in the US, UK, Austria, Sweden, Australia, Israel, and Germany. Annotation copyrighted by Book News, Inc., Portland, OR

Evolutionary Games and Population Dynamics

Author : Josef Hofbauer
Publisher : Cambridge University Press
ISBN 13 : 9780521625708
Total Pages : 356 pages
Book Rating : 4.6/5 (257 download)

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Book Synopsis Evolutionary Games and Population Dynamics by : Josef Hofbauer

Download or read book Evolutionary Games and Population Dynamics written by Josef Hofbauer and published by Cambridge University Press. This book was released on 1998-05-28 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.

Evolutionary Games in Complex Topologies

Author : Julia Poncela Casasnovas
Publisher : Springer Science & Business Media
ISBN 13 : 3642301177
Total Pages : 161 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Evolutionary Games in Complex Topologies by : Julia Poncela Casasnovas

Download or read book Evolutionary Games in Complex Topologies written by Julia Poncela Casasnovas and published by Springer Science & Business Media. This book was released on 2012-05-17 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many examples of cooperation in Nature: cells cooperate to form tissues, organs cooperate to form living organisms, and individuals cooperate to raise their offspring or to hunt. However, why cooperation emerges and survives in hostile environments, when defecting would be a much more profitable short-term strategy, is a question that still remains open. During the past few years, several explanations have been proposed, including kin and group selection, punishment and reputation mechanisms, or network reciprocity. This last one will be the center of the present study. The thesis explores the interface between the underlying structure of a given population and the outcome of the cooperative dynamics taking place on top of it, (namely, the Prisoner's Dilemma Game). The first part of this work analyzes the case of a static system, where the pattern of connections is fixed, so it does not evolve over time. The second part develops two models for growing topologies, where the growth and the dynamics are entangled.

Evolutionary Dynamics

Author : Hugo van den Berg
Publisher : IOP Publishing Limited
ISBN 13 : 9780750310956
Total Pages : 0 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Evolutionary Dynamics by : Hugo van den Berg

Download or read book Evolutionary Dynamics written by Hugo van den Berg and published by IOP Publishing Limited. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for researchers and postgraduate students with a background in physics or applied mathematics and a desire to apply their skills to problems in the life sciences, this beautifully illustrated and stimulating book develops an understanding of the gene-to-trait problem in the context of evolutionary dynamics, from the modern perspective of integrative biology. The gene-to-trait problem resides at the heart of a great many questions in biology. The author presents both elementary and advanced material in a way that brings out how this gene-to-trait problem is treated in the contexts of bioinformatics and evolutionary dynamics. Key ideas and techniques that underlie some of the most-used bioinformatics methods are discussed in an integrative context and a wide range of examples of mathematical models of living things is developed in an evolutionary framework.

Random Graph Dynamics

Author : Rick Durrett
Publisher : Cambridge University Press
ISBN 13 : 1139460889
Total Pages : 203 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Random Graph Dynamics by : Rick Durrett

Download or read book Random Graph Dynamics written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-05-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

Evolutionary Dynamics

Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 9780674023383
Total Pages : 390 pages
Book Rating : 4.0/5 (233 download)

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Book Synopsis Evolutionary Dynamics by : Martin A. Nowak

Download or read book Evolutionary Dynamics written by Martin A. Nowak and published by Harvard University Press. This book was released on 2006-09-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolution is the one theory that transcends all of biology. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His book makes a case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Topological Dynamics of Random Dynamical Systems

Author : Nguyen Dinh Cong
Publisher : Oxford University Press
ISBN 13 : 9780198501572
Total Pages : 216 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Topological Dynamics of Random Dynamical Systems by : Nguyen Dinh Cong

Download or read book Topological Dynamics of Random Dynamical Systems written by Nguyen Dinh Cong and published by Oxford University Press. This book was released on 1997 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of the theory of topological dynamics of random dynamical systems. A relatively new field, the theory of random dynamical systems unites and develops the classical deterministic theory of dynamical systems and probability theory, finding numerous applications in disciplines ranging from physics and biology to engineering, finance and economics. This book presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classical deterministic theory.

Evolutionary Dynamics of Complex Communications Networks

Author : Vasileios Karyotis
Publisher : CRC Press
ISBN 13 : 1466518413
Total Pages : 297 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Evolutionary Dynamics of Complex Communications Networks by : Vasileios Karyotis

Download or read book Evolutionary Dynamics of Complex Communications Networks written by Vasileios Karyotis and published by CRC Press. This book was released on 2013-10-14 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently, most network design techniques employed a bottom-up approach with lower protocol layer mechanisms affecting the development of higher ones. This approach, however, has not yielded fascinating results in the case of wireless distributed networks. Addressing the emerging aspects of modern network analysis and design, Evolutionary Dyna

Game-Theoretical Models in Biology

Author : Mark Broom
Publisher : CRC Press
ISBN 13 : 1439853215
Total Pages : 522 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Game-Theoretical Models in Biology by : Mark Broom

Download or read book Game-Theoretical Models in Biology written by Mark Broom and published by CRC Press. This book was released on 2013-03-27 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use MATLAB® to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modeling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modeling of these diverse biological phenomena.

Evolutionary Dynamics in Structured Populations

Author : Corina Elena Tarnita
Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.:/5 (47 download)

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Book Synopsis Evolutionary Dynamics in Structured Populations by : Corina Elena Tarnita

Download or read book Evolutionary Dynamics in Structured Populations written by Corina Elena Tarnita and published by . This book was released on 2009 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life is that which evolves. Evolutionary dynamics shape the living world around us. At the center of every evolutionary process is a population of reproducing individuals. These individuals can be molecules, cells, viruses, multi-cellular organisms or humans with language, hopes and some rationality. The laws of evolution are formulated in terms of mathematical equations. Whenever the fitness of individuals depends on the relative abundance of various strategies or phenotypes in the population, then we are in the realm of evolutionary game theory. Evolutionary game theory is a fairly general approach that helps to understand the interaction of species in an ecosystem, the interaction between hosts and parasites, between viruses and cells, and also the spread of ideas and behaviors in the human population. Here we present recent results on stochastic dynamics in finite sized and structured populations. We derive fundamental laws that determine how natural selection chooses between competing strategies. Two of the results are concerned with the study of multiple strategies and continuous strategies in a well-mixed population. Next we introduce a new way to think of population structure: set-structured populations. Unlike previous structures, the sets are dynamical: the population structure itself is a consequence of evolutionary dynamics. I will present a general mathematical approach for studying any evolutionary game in this structure. Finally, I give a general result which characterizes two-strategy games in any structured population.

Evolutionary Game Dynamics

Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
ISBN 13 : 0821853260
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Evolutionary Game Dynamics by : American Mathematical Society. Short Course

Download or read book Evolutionary Game Dynamics written by American Mathematical Society. Short Course and published by American Mathematical Soc.. This book was released on 2011-10-27 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2011 AMS Short Course on Evolutionary Game Dynamics, held January 4-5, 2011 in New Orleans, Louisiana. Evolutionary game theory studies basic types of social interactions in populations of players. It combines the strategic viewpoint of classical game theory (independent rational players trying to outguess each other) with population dynamics (successful strategies increase their frequencies). A substantial part of the appeal of evolutionary game theory comes from its highly diverse applications such as social dilemmas, the evolution of language, or mating behaviour in animals. Moreover, its methods are becoming increasingly popular in computer science, engineering, and control theory. They help to design and control multi-agent systems, often with a large number of agents (for instance, when routing drivers over highway networks or data packets over the Internet). While these fields have traditionally used a top down approach by directly controlling the behaviour of each agent in the system, attention has recently turned to an indirect approach allowing the agents to function independently while providing incentives that lead them to behave in the desired way. Instead of the traditional assumption of equilibrium behaviour, researchers opt increasingly for the evolutionary paradigm and consider the dynamics of behaviour in populations of agents employing simple, myopic decision rules.

Evolutionary Dynamics of Organizations

Author : Joel A. C. Baum
Publisher : Oxford University Press, USA
ISBN 13 : 0195085841
Total Pages : 518 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Evolutionary Dynamics of Organizations by : Joel A. C. Baum

Download or read book Evolutionary Dynamics of Organizations written by Joel A. C. Baum and published by Oxford University Press, USA. This book was released on 1994 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: His text presents the latest research and theory about evolutionary change in organizations. It brings together the work of organizational theorists who have challenged the orthodox adaptation views that prevailed until the beginning of the 1980s. It emphasizes multiple levels of change distinguishing change at the intraorganizational level, the organizational level, the population level, and the community level. The book is organized in a way intended to give order and coherence to what has been a diverse and multidisciplinary field. (The book had its inception at a conference held at the Stern School of Business, New York University, January 1992.).

Complex Evolutionary Dynamics in Urban-Regional and Ecologic-Economic Systems

Author : J. Barkley Rosser
Publisher : Springer Science & Business Media
ISBN 13 : 1441988289
Total Pages : 325 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Complex Evolutionary Dynamics in Urban-Regional and Ecologic-Economic Systems by : J. Barkley Rosser

Download or read book Complex Evolutionary Dynamics in Urban-Regional and Ecologic-Economic Systems written by J. Barkley Rosser and published by Springer Science & Business Media. This book was released on 2011-06-22 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the middle chapters from the first edition of J. Barkley Rosser's seminal work, From Catastrophe to Chaos, this book presents an unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

Eco-Evolutionary Dynamics

Author :
Publisher : Academic Press
ISBN 13 : 0128014334
Total Pages : 392 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Eco-Evolutionary Dynamics by :

Download or read book Eco-Evolutionary Dynamics written by and published by Academic Press. This book was released on 2014-08-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this volume is to discuss Eco-evolutionary Dynamics. Updates and informs the reader on the latest research findings Written by leading experts in the field Highlights areas for future investigation