Game Theory Evolving

Author: Herbert Gintis
Publisher: Princeton University Press
ISBN: 0691140510
Format: PDF, Mobi
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This revised edition contains new material & shows students how to apply game theory to model human behaviour in ways that reflect the special nature of sociality & individuality. It continues its in-depth look at cooperation in teams, agent-based simulations, experimental economics, & the evolution & diffusion of preferences.

Game Theory

Author: James N. Webb
Publisher: Springer Science & Business Media
ISBN: 9781846286360
Format: PDF, Docs
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The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.

N Person Game Theory

Author: Anatol Rapoport
Publisher: Courier Corporation
ISBN: 0486143678
Format: PDF, Docs
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DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

Vocabularies of International Relations After the Crisis in Ukraine

Author: Andrey Makarychev
Publisher: Taylor & Francis
ISBN: 1315457326
Format: PDF
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The conflict in Ukraine and Russia's annexation of Crimea has undoubtedly been a pivotal moment for policy makers and military planners in Europe and beyond. Many analysts see an unexpected character in the conflict and expect negative reverberations and a long-lasting period of turbulence and uncertainty, the de-legitimation of international institutions and a declining role for global norms and rules. Did these events bring substantial correctives and modifications to the extant conceptualization of International Relations? Does the conflict significantly alter previous assumptions and foster a new academic vocabulary, or, does it confirm the validity of well-established schools of thought in international relations? Has the crisis in Ukraine confirmed the vitality and academic vigour of conventional concepts? These questions are the starting points for this book covering conceptualisations from rationalist to reflectivist, and from quantitative to qualitative. Most contributors agree that many of the old concepts, such as multi-polarity, spheres of influence, sovereignty, or even containment, are still cognitively valid, yet believe the eruption of the crisis means that they are now used in different contexts and thus infused with different meanings. It is these multiple, conceptual languages that the volume puts at the centre of its analysis. This text will be of great interest to students and scholars studying international relations, politics, and Russian and Ukrainian studies.

Evolution and the Theory of Games

Author: John Maynard Smith
Publisher: Cambridge University Press
ISBN: 9780521288842
Format: PDF, Kindle
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In this 1982 book, the theory of games, first developed to analyse economic behaviour, is modified so that it can be applied to evolving populations. John Maynard Smith's concept of an evolutionarily stable strategy is relevant whenever the best thing for an animal or plant to do depends on what others are doing. The theory leads to testable predictions about the evolution of behaviour, of sex and genetic systems, and of growth and life history patterns. This book contains a full account of the theory, and of the data relevant to it. The account is aimed at senior undergraduate and graduate students, teachers and research workers in animal behaviour, population genetics and evolutionary biology. The book will also be of interest to mathematicians and game theorists; the mathematics has been largely confined to appendixes so that the main text may be easily followed by biologists.

Evolutionary Game Theory Natural Selection and Darwinian Dynamics

Author: Thomas L. Vincent
Publisher: Cambridge University Press
ISBN: 9781139444293
Format: PDF, ePub, Mobi
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All of life is a game, and evolution by natural selection is no exception. The evolutionary game theory developed in this 2005 book provides the tools necessary for understanding many of nature's mysteries, including co-evolution, speciation, extinction and the major biological questions regarding fit of form and function, diversity, procession, and the distribution and abundance of life. Mathematics for the evolutionary game are developed based on Darwin's postulates leading to the concept of a fitness generating function (G-function). G-function is a tool that simplifies notation and plays an important role developing Darwinian dynamics that drive natural selection. Natural selection may result in special outcomes such as the evolutionarily stable strategy (ESS). An ESS maximum principle is formulated and its graphical representation as an adaptive landscape illuminates concepts such as adaptation, Fisher's Fundamental Theorem of Natural Selection, and the nature of life's evolutionary game.

Behavioral Game Theory

Author: Colin F. Camerer
Publisher: Princeton University Press
ISBN: 1400840880
Format: PDF, ePub
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Game theory, the formalized study of strategy, began in the 1940s by asking how emotionless geniuses should play games, but ignored until recently how average people with emotions and limited foresight actually play games. This book marks the first substantial and authoritative effort to close this gap. Colin Camerer, one of the field's leading figures, uses psychological principles and hundreds of experiments to develop mathematical theories of reciprocity, limited strategizing, and learning, which help predict what real people and companies do in strategic situations. Unifying a wealth of information from ongoing studies in strategic behavior, he takes the experimental science of behavioral economics a major step forward. He does so in lucid, friendly prose. Behavioral game theory has three ingredients that come clearly into focus in this book: mathematical theories of how moral obligation and vengeance affect the way people bargain and trust each other; a theory of how limits in the brain constrain the number of steps of "I think he thinks . . ." reasoning people naturally do; and a theory of how people learn from experience to make better strategic decisions. Strategic interactions that can be explained by behavioral game theory include bargaining, games of bluffing as in sports and poker, strikes, how conventions help coordinate a joint activity, price competition and patent races, and building up reputations for trustworthiness or ruthlessness in business or life. While there are many books on standard game theory that address the way ideally rational actors operate, Behavioral Game Theory stands alone in blending experimental evidence and psychology in a mathematical theory of normal strategic behavior. It is must reading for anyone who seeks a more complete understanding of strategic thinking, from professional economists to scholars and students of economics, management studies, psychology, political science, anthropology, and biology.

Strategies and Games

Author: Prajit K. Dutta
Publisher: MIT Press
ISBN: 0262041693
Format: PDF, Kindle
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Game theory has become increasingly popular among undergraduate as well as business school students. This text is the first to provide both a complete theoretical treatment of the subject and a variety of real-world applications, primarily in economics, but also in business, political science, and the law. Strategies and Games grew out of Prajit Dutta's experience teaching a course in game theory over the last six years at Columbia University.The book is divided into three parts: Strategic Form Games and Their Applications, Extensive Form Games and Their Applications, and Asymmetric Information Games and Their Applications. The theoretical topics include dominance solutions, Nash equilibrium, backward induction, subgame perfect equilibrium, repeated games, dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, and signaling. An appendix presents a thorough discussion of single-agent decision theory, as well as the optimization and probability theory required for the course.Every chapter that introduces a new theoretical concept opens with examples and ends with a case study. Case studies include Global Warming and the Internet, Poison Pills, Treasury Bill Auctions, and Final Jeopardy. Each part of the book also contains several chapter-length applications including Bankruptcy Law, the NASDAQ market, OPEC, and the Commons problem. This is also the first text to provide a detailed analysis of dynamic strategic interaction.

The Bounds of Reason

Author: Herbert Gintis
Publisher: Princeton University Press
ISBN: 1400851343
Format: PDF, ePub, Mobi
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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.

A Beautiful Math

Author: Tom Siegfried
Publisher: National Academies Press
ISBN: 9780309133807
Format: PDF
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Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.