The Theory Of Extensive Form Games

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Evolutionary Dynamics and Extensive Form Games

Ross Cressman
Evolutionary Dynamics and Extensive Form Games Book PDF

Author : Ross Cressman
Publisher : MIT Press
Page : 346 pages
File Size : 54,8 Mb
Release : 2003
Category : Business & Economics
ISBN : 0262033054

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Evolutionary Dynamics and Extensive Form Games by Ross Cressman Pdf

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 Theory of Extensive Form Games

Carlos Alós-Ferrer,Klaus Ritzberger
The Theory of Extensive Form Games Book PDF

Author : Carlos Alós-Ferrer,Klaus Ritzberger
Publisher : Springer
Page : 239 pages
File Size : 50,6 Mb
Release : 2016-07-08
Category : Business & Economics
ISBN : 9783662499443

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The Theory of Extensive Form Games by Carlos Alós-Ferrer,Klaus Ritzberger Pdf

This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.

Rationality in Extensive Form Games

Andrés Perea
Rationality in Extensive Form Games Book PDF

Author : Andrés Perea
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 52,8 Mb
Release : 2001-10-31
Category : Business & Economics
ISBN : 0792375408

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Rationality in Extensive Form Games by Andrés Perea Pdf

This book is concerned with situations in which several persons reach decisions independently and the final consequence depends, potentially, upon each of the decisions taken. Such situations may be described formally by an extensive form game: a mathematical object which specifies the order in which decisions are to be taken, the information available to the decision makers at each point in time, and the consequence that results for each possible combination of decisions. A necessary requirement for rational behavior in such games is that each decision maker should reach a decision that is optimal, given his preferences over his own decisions. This requirement is far from sufficient, however, since every decision maker should in addition base his preferences upon the conjecture that his opponents will act optimally as well. It is this principle that distinguishes noncooperative game theory from one-person decision theory. The main purpose of Rationality in Extensive Form Games is to discuss different formalizations of this principle in extensive form games, such as backward induction, Nash equilibrium, forward induction and rationalizability, under the assumption that the decision makers' preferences are given by subjective expected utility functions. The various formalizations, or rationality criteria, are illustrated by examples, and the relationships among the different criteria are explored.

Political Game Theory

Nolan McCarty,Adam Meirowitz
Political Game Theory Book PDF

Author : Nolan McCarty,Adam Meirowitz
Publisher : Cambridge University Press
Page : 0 pages
File Size : 50,7 Mb
Release : 2014-10-30
Category : Political Science
ISBN : 1107438632

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Political Game Theory by Nolan McCarty,Adam Meirowitz Pdf

Political Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.

Game Theory

Hans Peters
Game Theory Book PDF

Author : Hans Peters
Publisher : Springer
Page : 494 pages
File Size : 53,8 Mb
Release : 2015-06-04
Category : Mathematics
ISBN : 9783662469507

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Game Theory by Hans Peters Pdf

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

Classics in Game Theory

Harold William Kuhn
Classics in Game Theory Book PDF

Author : Harold William Kuhn
Publisher : Princeton University Press
Page : 328 pages
File Size : 42,8 Mb
Release : 2020-11-10
Category : Business & Economics
ISBN : 9781400829156

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Classics in Game Theory by Harold William Kuhn Pdf

Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.

Game Theory

Steve Tadelis
Game Theory Book PDF

Author : Steve Tadelis
Publisher : Princeton University Press
Page : 416 pages
File Size : 52,5 Mb
Release : 2013-01-06
Category : Business & Economics
ISBN : 9780691129082

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Game Theory by Steve Tadelis Pdf

The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Game Theory

Hans Keiding
Game Theory Book PDF

Author : Hans Keiding
Publisher : World Scientific Publishing Company
Page : 320 pages
File Size : 40,6 Mb
Release : 2015-03-30
Category : Mathematics
ISBN : 9789814623674

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Game Theory by Hans Keiding Pdf

This book is intended as an introduction to game theory which goes beyond the field of application, economics, and which introduces the reader to as many different sides of game theory as possible within the limitations of an introduction. The main goal is to give an impression of the diversity of game theoretical models, while at the same time covering the standard topics. The book has an equal coverage of non-cooperative and cooperative games, and it covers several topics such as selecting Nash equilibria, non-transferable utility games, applications of game theory to logic, combinatorial and differential games.

Game Theory

Roger A. McCain
Game Theory Book PDF

Author : Roger A. McCain
Publisher : World Scientific
Page : 632 pages
File Size : 42,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814289658

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Game Theory by Roger A. McCain Pdf

Fundamentals; Two-Person Games; Larger Numbers and Uncertainty; Games in Extensive Form and Repeated Play; Cooperation; Behavioral Game Theory; Selected Applications.

Game Theory

Roger A McCain
Game Theory Book PDF

Author : Roger A McCain
Publisher : World Scientific Publishing Company
Page : 600 pages
File Size : 41,6 Mb
Release : 2014-04-29
Category : Mathematics
ISBN : 9789814578899

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Game Theory by Roger A McCain Pdf

The objective of the third edition of Game Theory: A Nontechnical Introduction to the Analysis of Strategy is to introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus Learning Cycle, the book is intended to teach by example. Noncooperative equilibrium concepts such as Nash equilibrium play the central role. In this third edition, increased stress is placed on the concept of rationalizable strategies, which has proven in teaching practice to assist students in making the bridge from intuitive to more formal concepts of noncooperative equilibrium. The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected].

A Course in Game Theory

Martin J. Osborne,Ariel Rubinstein
A Course in Game Theory Book PDF

Author : Martin J. Osborne,Ariel Rubinstein
Publisher : MIT Press
Page : 374 pages
File Size : 55,8 Mb
Release : 1994-07-12
Category : Business & Economics
ISBN : 0262650401

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A Course in Game Theory by Martin J. Osborne,Ariel Rubinstein Pdf

A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.

Essentials of Game Theory

Kevin Gebser,Yoav Kaminski
Essentials of Game Theory Book PDF

Author : Kevin Gebser,Yoav Kaminski
Publisher : Springer Nature
Page : 88 pages
File Size : 52,5 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031015458

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Essentials of Game Theory by Kevin Gebser,Yoav Kaminski Pdf

Game theory is the mathematical study of interaction among independent, self-interested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them.

Dynamic Noncooperative Game Theory

Tamer Basar,Geert Jan Olsder
Dynamic Noncooperative Game Theory Book PDF

Author : Tamer Basar,Geert Jan Olsder
Publisher : SIAM
Page : 526 pages
File Size : 50,8 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 9781611971132

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Dynamic Noncooperative Game Theory by Tamer Basar,Geert Jan Olsder Pdf

Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.

Rationality in Extensive Form Games

Andrés Perea
Rationality in Extensive Form Games Book PDF

Author : Andrés Perea
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 53,5 Mb
Release : 2013-04-18
Category : Business & Economics
ISBN : 9781475733914

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Rationality in Extensive Form Games by Andrés Perea Pdf

I would like to use this preface to thank some persons and institutions which have been important during the various stages of writing this book. First of all, I am grateful to Kluwer Academic Publishers for giving me the opportunity to write this book. I started writing the book in 1998 while I was working at the Departament d'Economia i d'Historia Economica at Universidad Autonoma de Barcelona, and continued the writing job from september 1998 to september 2000 at the Departamento de Economfa at Universidad Carlos III de Madrid. The book has been completed while I was visiting the Department of Quantitative Economics at the University of Maastricht from october 2000 to august 2001. I wish to thank these three departments for their hospitality. The book has improved substantially by comments and critique from the following persons who have read parts of the manuscript: Geir Asheim, Eric van Damme, Janos Flesch, Mari-Angeles de Frutos, Diego Moreno, Hans Peters, Antonio Romero and Dries Vermeulen. I should also mention my discussions with Peter Wakker about the decision-theoretic foundations of noncooperative game theory, which have had an important impact on various parts of the book. Finally, I wish to express my warmest gratitude to my parents, my brother and my sister, and, last but not least, to Cati, to whom I dedicate this book.

Game Theory

Graham Romp
Game Theory Book PDF

Author : Graham Romp
Publisher : Oxford University Press, USA
Page : 295 pages
File Size : 55,9 Mb
Release : 1997
Category : Business & Economics
ISBN : 9780198775027

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Game Theory by Graham Romp Pdf

Covering all the essential topics for undergraduate courses, this is the ideal student introduction to game theory. The book sets out the basics of the subject in a non-technical way. All discussion and explanation is clear, well structured, and entirely accessible to students of botheconomics and business.In addition to describing and explaining the basic theory, Game Theory uses illustrations and examples to show its application to realistic, topical, and interesting problems-ranging from strategic decision-making within companies to international environmental policy-making.The book also features exercises with accompanying solutions to allow the student to check progress throughout the course, and a guide to further reading at the end of each chapter.