Game-Theoretical Models in Biology (Chapman & Hall/CRC Mathematical and Computational Biology) PDF
Preview Game-Theoretical Models in Biology (Chapman & Hall/CRC Mathematical and Computational Biology)
Game-Theoretical Models in Biology CHAPMAN & HALL/CRC Mathematical and Computational Biology Series Aims and scope: This series aims to capture new developments and summarize what is known over the entire spectrum of mathematical and computational biology and medicine. It seeks to encourage the integration of mathematical, statistical, and computational methods into biology by publishing a broad range of textbooks, reference works, and handbooks. The titles included in the series are meant to appeal to students, researchers, and professionals in the mathematical, statistical and computational sciences, fundamental biology and bioengineering, as well as interdisciplinary researchers involved in the field. The inclusion of concrete examples and applications, and programming techniques and examples, is highly encouraged. Series Editors N. F. Britton Department of Mathematical Sciences University of Bath Xihong Lin Department of Biostatistics Harvard University Hershel M. Safer School of Computer Science Tel Aviv University Maria Victoria Schneider European Bioinformatics Institute Mona Singh Department of Computer Science Princeton University Anna Tramontano Department of Biochemical Sciences University of Rome La Sapienza Proposals for the series should be submitted to one of the series editors above or directly to: CRC Press, Taylor & Francis Group 3 Park Square, Milton Park Abingdon, Oxfordshire OX14 4RN UK Published Titles Algorithms in Bioinformatics: A Practical Differential Equations and Mathematical Introduction Biology, Second Edition Wing-Kin Sung D.S. Jones, M.J. Plank, and B.D. Sleeman Bioinformatics: A Practical Approach Dynamics of Biological Systems Shui Qing Ye Michael Small Biological Computation Engineering Genetic Circuits Ehud Lamm and Ron Unger Chris J. Myers Biological Sequence Analysis Using Exactly Solvable Models of Biological the SeqAn C++ Library Invasion Andreas Gogol-Döring and Knut Reinert Sergei V. Petrovskii and Bai-Lian Li Cancer Modelling and Simulation Game-Theoretical Models in Biology Luigi Preziosi Mark Broom and Jan Rychtáˇr Cancer Systems Biology Gene Expression Studies Using Edwin Wang Affymetrix Microarrays Hinrich Göhlmann and Willem Talloen Cell Mechanics: From Single Scale- Based Models to Multiscale Modeling Genome Annotation Arnaud Chauvière, Luigi Preziosi, Jung Soh, Paul M.K. Gordon, and and Claude Verdier Christoph W. Sensen Clustering in Bioinformatics and Drug Glycome Informatics: Methods and Discovery Applications John D. MacCuish and Norah E. MacCuish Kiyoko F. Aoki-Kinoshita Combinatorial Pattern Matching Handbook of Hidden Markov Models Algorithms in Computational Biology in Bioinformatics Using Perl and R Martin Gollery Gabriel Valiente Introduction to Bioinformatics Computational Biology: A Statistical Anna Tramontano Mechanics Perspective Introduction to Bio-Ontologies Ralf Blossey Peter N. Robinson and Sebastian Bauer Computational Hydrodynamics of Introduction to Computational Capsules and Biological Cells Proteomics C. Pozrikidis Golan Yona Computational Neuroscience: Introduction to Proteins: Structure, A Comprehensive Approach Function, and Motion Jianfeng Feng Amit Kessel and Nir Ben-Tal Computational Systems Biology of An Introduction to Systems Biology: Cancer Design Principles of Biological Circuits Emmanuel Barillot, Laurence Calzone, Uri Alon Philippe Hupé, Jean-Philippe Vert, and Kinetic Modelling in Systems Biology Andrei Zinovyev Oleg Demin and Igor Goryanin Data Analysis Tools for DNA Microarrays Knowledge Discovery in Proteomics Sorin Draghici Igor Jurisica and Dennis Wigle Published Titles (continued) Meta-analysis and Combining Quantitative Biology: From Molecular to Information in Genetics and Genomics Cellular Systems Rudy Guerra and Darlene R. Goldstein Sebastian Bassi Methods in Medical Informatics: Spatial Ecology Fundamentals of Healthcare Stephen Cantrell, Chris Cosner, and Programming in Perl, Python, and Ruby Shigui Ruan Jules J. Berman Spatiotemporal Patterns in Ecology Modeling and Simulation of Capsules and Epidemiology: Theory, Models, and Biological Cells and Simulation C. Pozrikidis Horst Malchow, Sergei V. Petrovskii, and Ezio Venturino Niche Modeling: Predictions from Statistical Distributions Statistics and Data Analysis for David Stockwell Microarrays Using R and Bioconductor, Second Edition Normal Mode Analysis: Theory and Applications to Biological and Chemical Sorin Dra˘ghici Systems Stochastic Modelling for Systems Qiang Cui and Ivet Bahar Biology, Second Edition Darren J. Wilkinson Optimal Control Applied to Biological Models Structural Bioinformatics: An Algorithmic Suzanne Lenhart and John T. Workman Approach Forbes J. Burkowski Pattern Discovery in Bioinformatics: Theory & Algorithms The Ten Most Wanted Solutions in Laxmi Parida Protein Bioinformatics Anna Tramontano Python for Bioinformatics Sebastian Bassi Game-Theoretical Models in Biology Mark Broom Jan Rychtář MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MAT- LAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2013 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20130208 International Standard Book Number-13: 978-1-4398-5322-1 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. 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Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com To Monica and Denisa TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk Contents Preface xxi Authors xxv 1 Introduction 1 1.1 The history of evolutionary games . . . . . . . . . . . . . . 1 1.1.1 Early game playing and strategic decisions . . . . . . 3 1.1.2 The birth of modern game theory . . . . . . . . . . . 4 1.1.3 The beginnings of evolutionary games. . . . . . . . . 5 1.2 The key mathematical developments . . . . . . . . . . . . . 7 1.2.1 Static games . . . . . . . . . . . . . . . . . . . . . . . 7 1.2.2 Dynamic games . . . . . . . . . . . . . . . . . . . . . 8 1.3 The range of applications . . . . . . . . . . . . . . . . . . . 10 1.4 Reading this book . . . . . . . . . . . . . . . . . . . . . . . 11 2 What is a game? 13 2.1 Key game elements . . . . . . . . . . . . . . . . . . . . . . . 14 2.1.1 Players . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.1.2 Strategies . . . . . . . . . . . . . . . . . . . . . . . . 15 2.1.2.1 Pure strategies . . . . . . . . . . . . . . . . 15 2.1.2.2 Mixed strategies . . . . . . . . . . . . . . . 16 2.1.2.3 Pure or mixed strategies? . . . . . . . . . . 18 2.1.3 Payoffs . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.1.3.1 Representation of payoffs by matrices . . . 19 2.1.3.2 Payoffs from contests between mixed strategists . . . . . . . . . . . . . . . . . . . 20 2.1.3.3 Generic payoffs . . . . . . . . . . . . . . . . 21 2.1.4 Games in normal form . . . . . . . . . . . . . . . . . 23 2.2 Games in biological settings . . . . . . . . . . . . . . . . . . 24 2.2.1 Representing the population . . . . . . . . . . . . . . 25 2.2.2 Payoffs in matrix games . . . . . . . . . . . . . . . . 26 2.3 Further reading . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.4 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 ix
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