Game Theoretical Models In Biology

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Game-Theoretical Models in Biology

Author : Mark Broom
Publisher : CRC Press
ISBN 13 : 1439853223
Total Pages : 516 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 516 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.

Game-Theoretical Models in Biology

Author : Mark Broom
Publisher : CRC Press
ISBN 13 : 1000623688
Total Pages : 623 pages
Book Rating : 4.0/5 (6 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 2022-08-03 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology, Second Edition 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 Python 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 behaviour, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modelling. 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 modelling of these diverse biological phenomena. In this thoroughly revised new edition, the authors have added three new chapters on the evolution of structured populations, biological signalling games, and a topical new chapter on evolutionary models of cancer. There are also new sections on games with time constraints that convert simple games to potentially complex nonlinear ones; new models on extortion strategies for the Iterated Prisoner’s Dilemma and on social dilemmas; and on evolutionary models of vaccination, a timely section given the current Covid pandemic. Features Presents a wide range of biological applications of game theory. Suitable for researchers and professionals in mathematical biology and the life sciences, and as a text for postgraduate courses in mathematical biology. Provides numerous examples, exercises, and Python code.

Game Theory in Biology

Author : John M. McNamara
Publisher : Oxford University Press, USA
ISBN 13 : 0198815778
Total Pages : 353 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Game Theory in Biology by : John M. McNamara

Download or read book Game Theory in Biology written by John M. McNamara and published by Oxford University Press, USA. This book was released on 2020-09-24 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This novel reassessment of the field presents the central concepts in evolutionary game theory and provides an authoritative and up-to-date account. The focus is on concepts that are important for biologists in their attempts to explain observations. This strong connection between concepts and applications is a recurrent theme throughout the book.

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.

Game Theory and Experimental Games

Author : Andrew M. Colman
Publisher : Elsevier
ISBN 13 : 1483137147
Total Pages : 314 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Game Theory and Experimental Games by : Andrew M. Colman

Download or read book Game Theory and Experimental Games written by Andrew M. Colman and published by Elsevier. This book was released on 2016-06-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Experimental Games: The Study of Strategic Interaction focuses on the development of game theory, taking into consideration empirical research, theoretical formulations, and research procedures involved. The book proceeds with a discussion on the theory of one-person games. The individual decision that a player makes in these kinds of games is noted as influential as to the outcome of these games. This discussion is followed by a presentation of pure coordination games and minimal situation. The ability of players to anticipate the choices of others to achieve a mutually beneficial outcome is emphasized. A favorable social situation is also influential in these kinds of games. The text moves forward by presenting studies on various kinds of competitive games. The research studies presented are coupled with empirical evidence and discussion designed to support the claims that are pointed out. The book also discusses several kinds of approaches in the study of games. Voting as a way to resolve multi-person games is also emphasized, including voting procedures, the preferences of voters, and voting strategies. The book is a valuable source of data for readers and scholars who are interested in the exploration of game theories.

Game Theory in Biology

Author : John M. McNamara
Publisher : Oxford University Press
ISBN 13 : 0192547836
Total Pages : 288 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Game Theory in Biology by : John M. McNamara

Download or read book Game Theory in Biology written by John M. McNamara and published by Oxford University Press. This book was released on 2020-09-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principles of game theory apply to a wide range of topics in biology. This book presents the central concepts in evolutionary game theory and provides an authoritative and up-to-date account. The focus is on concepts that are important for biologists in their attempts to explain observations. This strong connection between concepts and applications is a recurrent theme throughout the book which incorporates recent and traditional ideas from animal psychology, neuroscience, and machine learning that provide a mechanistic basis for behaviours shown by players of a game. The approaches taken to modelling games often rest on idealized and unrealistic assumptions whose limitations and consequences are not always appreciated. The authors provide a novel reassessment of the field, highlighting how to overcome limitations and identifying future directions. Game Theory in Biology is an advanced textbook suitable for graduate level students as well as professional researchers (both empiricists and theoreticians) in the fields of behavioural ecology and evolutionary biology. It will also be of relevance to a broader interdisciplinary audience including psychologists and neuroscientists.

Evolution and the Theory of Games

Author : John Maynard Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521288842
Total Pages : 244 pages
Book Rating : 4.2/5 (888 download)

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Book Synopsis Evolution and the Theory of Games by : John Maynard Smith

Download or read book Evolution and the Theory of Games written by John Maynard Smith and published by Cambridge University Press. This book was released on 1982-10-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1982 book is an account of an alternative way of thinking about evolution and the theory of games.

Game Theory

Author : Steven N. Durlauf
Publisher : Springer
ISBN 13 : 0230280846
Total Pages : 391 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Game Theory by : Steven N. Durlauf

Download or read book Game Theory written by Steven N. Durlauf and published by Springer. This book was released on 2016-07-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specially selected from The New Palgrave Dictionary of Economics 2nd edition, each article within this compendium covers the fundamental themes within the discipline and is written by a leading practitioner in the field. A handy reference tool.

Complex Social and Behavioral Systems

Author : Marilda Sotomayor
Publisher : Springer
ISBN 13 : 9781071603673
Total Pages : 0 pages
Book Rating : 4.6/5 (36 download)

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Book Synopsis Complex Social and Behavioral Systems by : Marilda Sotomayor

Download or read book Complex Social and Behavioral Systems written by Marilda Sotomayor and published by Springer. This book was released on 2020-08-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, combines the main features of Game Theory, covering most of the fundamental theoretical aspects under the cooperative and non-cooperative approaches, with the procedures of Agent-Based Modeling for studying complex systems composed of a large number of interacting entities with many degrees of freedom. In Game Theory, the cooperative approach focuses on the possible outcomes of the decision-makers’ interaction by abstracting from the "rational" actions or decisions that may lead to these outcomes. The non-cooperative approach focuses on the actions that the decision-makers can take. As John von Neumann and Oskar Morgenstern argued in their path-breaking book of 1944 entitled Theory of Games and Economic Behavior, most economic questions should be analyzed as games. The models of game theory are abstract representations of a number of real-life situations and have applications to economics, political science, computer science, evolutionary biology, social psychology, and law among others. Agent-Based Modeling (ABM) is a relatively new computational modeling paradigm which aims to construct the computational counterpart of a conceptual model of the system under study on the basis of discrete entities (i.e., the agent) with some properties and behavioral rules, and then to simulate them in a computer to mimic the real phenomena. Given the relative immaturity of this modeling paradigm, and the broad spectrum of disciplines in which it is applied, a clear cut and widely accepted definition of high level concepts of agents, environment, interactions and so on, is still lacking. This volume explores the state-of-the-art in the development of a real ABM ontology to address the epistemological issues related to this emerging paradigm for modeling complex systems.

The Origins of Unfairness

Author : Cailin O'Connor
Publisher : Oxford University Press, USA
ISBN 13 : 0198789971
Total Pages : 255 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis The Origins of Unfairness by : Cailin O'Connor

Download or read book The Origins of Unfairness written by Cailin O'Connor and published by Oxford University Press, USA. This book was released on 2019 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: In almost every human society some people get more and others get less. Why is inequity the rule in these societies? In The Origins of Unfairness, philosopher Cailin O'Connor firstly considers how groups are divided into social categories, like gender, race, and religion, to address this question. She uses the formal frameworks of game theory and evolutionary game theory to explore the cultural evolution of the conventions which piggyback on these seemingly irrelevant social categories. These frameworks elucidate a variety of topics from the innateness of gender differences, to collaboration in academia, to household bargaining, to minority disadvantage, to homophily. They help to show how inequity can emerge from simple processes of cultural change in groups with gender and racial categories, and under a wide array of situations. The process of learning conventions of coordination and resource division is such that some groups will tend to get more and others less. O'Connor offers solutions to such problems of coordination and resource division and also shows why we need to think of inequity as part of an ever evolving process. Surprisingly minimal conditions are needed to robustly produce phenomena related to inequity and, once inequity emerges in these models, it takes very little for it to persist indefinitely. Thus, those concerned with social justice must remain vigilant against the dynamic forces that push towards inequity.

Game Theory and Applications

Author : L. A. Petrosjan
Publisher : Nova Publishers
ISBN 13 : 9781594542244
Total Pages : 248 pages
Book Rating : 4.5/5 (422 download)

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Book Synopsis Game Theory and Applications by : L. A. Petrosjan

Download or read book Game Theory and Applications written by L. A. Petrosjan and published by Nova Publishers. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together papers of well-known specialists in game theory and adjacent problems. It presents the basic results in dynamic games, stochastic games, applications of game theoretical methods in ecology and economics and methodological aspects of game theory.

The Evolution of Cooperation

Author : Robert Axelrod
Publisher : Basic Books
ISBN 13 : 0786734884
Total Pages : 258 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis The Evolution of Cooperation by : Robert Axelrod

Download or read book The Evolution of Cooperation written by Robert Axelrod and published by Basic Books. This book was released on 2009-04-29 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.

The Bounds of Reason

Author : Herbert Gintis
Publisher : Princeton University Press
ISBN 13 : 0691160848
Total Pages : 283 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Bounds of Reason by : Herbert Gintis

Download or read book The Bounds of Reason written by Herbert Gintis and published by Princeton University Press. This book was released on 2014-04-20 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is central to understanding human behavior and relevant to all of the behavioral sciences—from biology and economics, to anthropology and political science. However, as The Bounds of Reason demonstrates, game theory alone cannot fully explain human behavior and should instead complement other key concepts championed by the behavioral disciplines. Herbert Gintis shows that just as game theory without broader social theory is merely technical bravado, so social theory without game theory is a handicapped enterprise. This edition has been thoroughly revised and updated. Reinvigorating game theory, The Bounds of Reason offers innovative thinking for the behavioral sciences.

Evolutionary Game Theory

Author : Jörgen W. Weibull
Publisher : MIT Press
ISBN 13 : 9780262731218
Total Pages : 292 pages
Book Rating : 4.7/5 (312 download)

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Book Synopsis Evolutionary Game Theory by : Jörgen W. Weibull

Download or read book Evolutionary Game Theory written by Jörgen W. Weibull and published by MIT Press. This book was released on 1997 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.

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.

Introduction to Topology and Geometry

Author : Saul Stahl
Publisher : John Wiley & Sons
ISBN 13 : 1118546148
Total Pages : 430 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Introduction to Topology and Geometry by : Saul Stahl

Download or read book Introduction to Topology and Geometry written by Saul Stahl and published by John Wiley & Sons. This book was released on 2014-08-21 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics. Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.

Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation

Author : Kolokoltsov Vasily N
Publisher : World Scientific Publishing Company
ISBN 13 : 981310774X
Total Pages : 300 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation by : Kolokoltsov Vasily N

Download or read book Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation written by Kolokoltsov Vasily N and published by World Scientific Publishing Company. This book was released on 2010-01-20 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen.Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.