Book Library

Read or Download Book Online

Download: [PDF] evolutionary dynamics and extensive form games

Evolutionary Dynamics And Extensive Form Games

Evolutionary Dynamics and Extensive Form Games PDF

Get Book

Author: Ross Cressman
Publisher: MIT Press
ISBN: 9780262033053
Size: 30.16 MB
Format: PDF, ePub, Mobi
Category : Business & Economics
Languages : en
Pages : 316
View: 6712

Book Description: An analysis of standard evolutionary dynamics adapted to extensive form games. 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. The book offers a synthesis of current knowledge about extensive form games from an evolutionary perspective, emphasizing connections between the extensive form representation and dynamic models that traditionally have been applied to biological and economic phenomena. It develops a general theory to analyze dynamically arbitrary extensive form games and applies this theory to a range of examples. It lays the foundation for the analysis of specific extensive form models of behavior and for the further theoretical study of extensive form evolutionary games.


Population Games And Evolutionary Dynamics

Population Games and Evolutionary Dynamics PDF

Get Book

Author: William H. Sandholm
Publisher: MIT Press
ISBN: 0262195879
Size: 16.90 MB
Format: PDF, Kindle
Category : Business & Economics
Languages : en
Pages : 589
View: 2294

Book Description: This text offers a systematic, rigorous, and unified presentation of evolutionary game theory, covering the core developments of the theory from its inception in biology in the 1970s through recent advances. Evolutionary game theory, which studies the behavior of large populations of strategically interacting agents, is used by economists to make predictions in settings where traditional assumptions about agents' rationality and knowledge may not be justified. Recently, computer scientists, transportation scientists, engineers, and control theorists have also turned to evolutionary game theory, seeking tools for modeling dynamics in multiagent systems. Population Games and Evolutionary Dynamics provides a point of entry into the field for researchers and students in all of these disciplines. The text first considers population games, which provide a simple, powerful model for studying strategic interactions among large numbers of anonymous agents. It then studies the dynamics of behavior in these games. By introducing a general model of myopic strategy revision by individual agents, the text provides foundations for two distinct approaches to aggregate behavior dynamics: the deterministic approach, based on differential equations, and the stochastic approach, based on Markov processes. Key results on local stability, global convergence, stochastic stability, and nonconvergence are developed in detail. Ten substantial appendixes present the mathematical tools needed to work in evolutionary game theory, offering a practical introduction to the methods of dynamic modeling. Accompanying the text are more than 200 color illustrations of the mathematics and theoretical results; many were created using the Dynamo software suite, which is freely available on the author's Web site. Readers are encouraged to use Dynamo to run quick numerical experiments and to create publishable figures for their own research.


Evolutionary Games And Population Dynamics

Evolutionary Games and Population Dynamics PDF

Get Book

Author: Josef Hofbauer
Publisher: Cambridge University Press
ISBN: 9780521625708
Size: 13.95 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 323
View: 5688

Book Description: How to understand evolution in mathematical terms, i.e. how to model natural selection by game theory.


                                                                                              PDF

Get Book

Author: Игорь Колесин
Publisher: Litres
ISBN: 5040949936
Size: 33.56 MB
Format: PDF, Mobi
Category : Mathematics
Languages : ru
Pages :
View: 3482

Book Description: В пособии излагаются разные подходы к постановке и решению задачи оптимизации противогриппозной профилактики. Выделяются различные медико-социальные системы, свойственные плотно населенным городам. Профилактика рассматривается как средство управления эпидемиологическим процессом; в качестве основного средства выбирается вакцинация. Различные стратегии вакцинации связываются с эпидемиологическими особенностями социальных групп или особенностями принятия индивидуального решения о личной защите. Рассматриваются различные реализации принятых оптимальных решений. Обсуждаются эпидемические и экономические эффекты ранней и поздней профилактики. Для нахождения оптимального решения используются: принцип равных рисков, принцип максимума Понтрягина и некоторые базовые подходы теории эволюционных игр.Пособие предназначено для студентов и аспирантов факультетов прикладной математики, специализирующихся по направлению 010400 «Прикладная математика и информатика», а также по управлению медико-социальными процессами.


Evolutionary Dynamics

Evolutionary Dynamics PDF

Get Book

Author: Martin A. Nowak
Publisher: Harvard University Press
ISBN: 0674417755
Size: 39.57 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 377
View: 3579

Book Description: 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.


21st Century Economics A Reference Handbook

21st Century Economics  A Reference Handbook PDF

Get Book

Author: Rhona C. Free
Publisher: SAGE
ISBN: 1412961424
Size: 50.13 MB
Format: PDF, Mobi
Category : Business & Economics
Languages : en
Pages : 1000
View: 4188

Book Description: Interest in economics is at an all-time high. Among the challenges facing the nation is an economy with rapidly rising unemployment, failures of major businesses and industries, and continued dependence on oil with its wildly fluctuating price. Americans are debating the proper role of the government in company bailouts, the effectiveness of tax cuts versus increased government spending to stimulate the economy, and potential effects of deflation. Economists have dealt with such questions for generations, but they have taken on new meaning and significance. Tackling these questions and encompassing analysis of traditional economic theory and topics as well as those that economists have only more recently addressed, 21st Century Economics: A Reference Handbook is intended to meet the needs of several types of readers. Undergraduate students preparing for exams will find summaries of theory and models in key areas of micro and macroeconomics. Readers interested in learning about economic analysis of an issue as well students embarking on research projects will find introductions to relevant theory and empirical evidence. And economists seeking to learn about extensions of analysis into new areas or about new approaches will benefit from chapters that introduce cutting-edge topics. To make the book accessible to undergraduate students, models have been presented only in graphical format (minimal calculus) and empirical evidence has been summarized in ways that do not require much background in statistics or econometrics. It is thereby hoped that chapters will provide both crucial information and inspiration in a non-threatening, highly readable format.


Stochastic Models In Biological Sciences

Stochastic Models in Biological Sciences PDF

Get Book

Author: Reinhard Bürger
Publisher:
ISBN:
Size: 28.19 MB
Format: PDF, ePub
Category : Biology
Languages : en
Pages : 276
View: 4696

Book Description: Summary: "This volume contains papers presented at the workshop 'Stochastic Models in Biological Sciences' held at the Stefan Banach International Mathematical Center in Warsaw, 29 May-2 June 2006."--Preface (p. 5).


The American Economic Review

The American Economic Review PDF

Get Book

Author:
Publisher:
ISBN:
Size: 26.24 MB
Format: PDF, ePub, Mobi
Category : Economics
Languages : en
Pages :
View: 4863

Book Description: Includes annual List of doctoral dissertations in political economy in progress in American universities and colleges; and the Hand book of the American Economic Association.