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Author: Andrés Perea
Publisher: Springer Science & Business Media
ISBN: 9780792375401
Category : Business & Economics
Languages : en
Pages : 256
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Book Description
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.
Author: Andrés Perea
Publisher: Springer Science & Business Media
ISBN: 9780792375401
Category : Business & Economics
Languages : en
Pages : 256
Get Book Here
Book Description
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.
Author: Andrés Perea
Publisher: Springer Science & Business Media
ISBN: 1475733917
Category : Business & Economics
Languages : en
Pages : 245
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Book Description
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.
Author: Andrés Perea
Publisher: Cambridge University Press
ISBN: 1107008913
Category : Business & Economics
Languages : en
Pages : 581
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Book Description
The first textbook to explain the principles of epistemic game theory.
Author: Alfred R. Mele
Publisher: Oxford University Press
ISBN: 9780198033240
Category : Philosophy
Languages : en
Pages : 498
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Book Description
Rationality has long been a central topic in philosophy, crossing standard divisions and categories. It continues to attract much attention in published research and teaching by philosophers as well as scholars in other disciplines, including economics, psychology, and law. The Oxford Handbook of Rationality is an indispensable reference to the current state of play in this vital and interdisciplinary area of study. Twenty-two newly commissioned chapters by a roster of distinguished philosophers provide an overview of the prominent views on rationality, with each author also developing a unique and distinctive argument.
Author: Steve Tadelis
Publisher: Princeton University Press
ISBN: 0691129088
Category : Business & Economics
Languages : en
Pages : 416
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Book Description
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
Author: Drew Fudenberg
Publisher: MIT Press
ISBN: 9780262061940
Category : Business & Economics
Languages : en
Pages : 304
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Book Description
This work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.
Author: Herbert Gintis
Publisher: Princeton University Press
ISBN: 0691160848
Category : Business & Economics
Languages : en
Pages : 283
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Book Description
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.
Author: Reinhard Selten
Publisher: Springer Science & Business Media
ISBN: 9401577749
Category : Business & Economics
Languages : en
Pages : 319
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Book Description
The papers collected in this volume relate to game theory. They aim at the elaboration and discussion of basic con cepts, at the analysis of specific applied models and at the evaluation of experimental evidence. A game is a mathematical model of a situation where several actors with different goals are engaged in strategic inter action. Game theory explores the nature and the consequence. s of rational behavior in games. With respect to several papers in this volume, it seems to be appropriate to comment on later developments. A list of some important references is given at the end of the intro duction. References already included in the collected pa pers are not repeated here. In casual conversation colleagues sometimes observe that the author on the one hand goes to extremes in the elabora tion of the consequences of Bayesian rationality and on the other hand strongly emphasizes the limited rationality of actual decision behavior. This seeming discrepancy is also expressed in the collection presented here. The author thinks that a sharp distinction should be made between nor ~ative and descriptive game theory. This position of "methodological dualism" has been expressed in a comment to Aumann's paper "What is game theory trying to accomplish?" (Aumann, 1985, Selten 1985) Normative game theory has the important task to explore the nature and the consequences of idealized full rationality in strategic interaction. This requires a thorough discuss ion of first principles. Empirical arguments are irrelevant here.
Author: Boudewijn de Bruin
Publisher: Springer Science & Business Media
ISBN: 1402099061
Category : Science
Languages : en
Pages : 185
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Book Description
Does game theory - the mathematical theory of strategic interaction - provide genuine explanations of human behaviour? Can game theory be used in economic consultancy or other normative contexts? Explaining Games: The Epistemic Programme in Game Theory - the first monograph on the philosophy of game theory - is a bold attempt to combine insights from epistemic logic and the philosophy of science to investigate the applicability of game theory in such fields as economics, philosophy and strategic consultancy. De Bruin proves new mathematical theorems about the beliefs, desires and rationality principles of individual human beings, and he explores in detail the logical form of game theory as it is used in explanatory and normative contexts. He argues that game theory reduces to rational choice theory if used as an explanatory device, and that game theory is nonsensical if used as a normative device. A provocative account of the history of game theory reveals that this is not bad news for all of game theory, though. Two central research programmes in game theory tried to find the ultimate characterisation of strategic interaction between rational agents. Yet, while the Nash Equilibrium Refinement Programme has done badly thanks to such research habits as overmathematisation, model-tinkering and introversion, the Epistemic Programme, De Bruin argues, has been rather successful in achieving this aim.
Author: W. Leinfellner
Publisher: Springer Science & Business Media
ISBN: 9401716544
Category : Business & Economics
Languages : en
Pages : 476
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Book Description
When von Neumann's and Morgenstern's Theory of Games and Economic Behavior appeared in 1944, one thought that a complete theory of strategic social behavior had appeared out of nowhere. However, game theory has, to this very day, remained a fast-growing assemblage of models which have gradually been united in a new social theory - a theory that is far from being completed even after recent advances in game theory, as evidenced by the work of the three Nobel Prize winners, John F. Nash, John C. Harsanyi, and Reinhard Selten. Two of them, Harsanyi and Selten, have contributed important articles to the present volume. This book leaves no doubt that the game-theoretical models are on the right track to becoming a respectable new theory, just like the great theories of the twentieth century originated from formerly separate models which merged in the course of decades. For social scientists, the age of great discover ies is not over. The recent advances of today's game theory surpass by far the results of traditional game theory. For example, modem game theory has a new empirical and social foundation, namely, societal experiences; this has changed its methods, its "rationality. " Morgenstern (I worked together with him for four years) dreamed of an encompassing theory of social behavior. With the inclusion of the concept of evolution in mathematical form, this dream will become true. Perhaps the new foundation will even lead to a new name, "conflict theory" instead of "game theory.
