Foundations Of Game Theory
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Foundations Of Game Theory
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Author : Nicolai N. Vorob'ev
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Foundations Of Game Theory written by Nicolai N. Vorob'ev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The English edition differs only slightly from the Russian original. The main struc tural difference is that all the material on the theory of finite noncooperative games has been collected in Chapter 2, with renumbering of the material of the remain ing chapters. New sections have been added in this chapter: devoted to general questions of equilibrium theory in nondegenerate games, subsections 3.9-3.17, by N.N. Vorob'ev, Jr.; and § 4, by A.G. Chernyakov; and § 5, by N.N. Vorob'ev, Jr., on the computational complexity of the process of finding equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author regrets that the present edition does not reflect the important game-theoretical achievements presented in the splendid monographs by E. van Damme (on the refinement of equilibrium principles for finite games), as well as those by J.e. Harsanyi and R. Selten, and by W. Giith and B. Kalkofen (on equilibrium selection). When the Russian edition was being written, these direc tions in game theory had not yet attained their final form, which appeared only in quite recent monographs; the present author has had to resist the temptation of attempting to produce an elementary exposition of the new theories for the English edition; readers of this edition will find only brief mention of the new material.
Mathematical Foundations Of Game Theory
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Author : Rida Laraki
language : en
Publisher: Springer Nature
Release Date : 2019-09-07
Mathematical Foundations Of Game Theory written by Rida Laraki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-07 with Mathematics categories.
This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text. Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text. Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.
Essays On The Foundations Of Game Theory
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Author : Ken Binmore
language : en
Publisher:
Release Date : 1990
Essays On The Foundations Of Game Theory written by Ken Binmore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Foundations Of Game Theory
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Author : Nikolaj Nikolaevič Vorob'ev
language : en
Publisher: Birkhauser
Release Date : 1994
Foundations Of Game Theory written by Nikolaj Nikolaevič Vorob'ev and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Foundations Of Game Theory
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Author : Kenneth George Binmore
language : en
Publisher:
Release Date : 1991
Foundations Of Game Theory written by Kenneth George Binmore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Economics categories.
On Foundations Of Game Theory
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Author : Jenö Szép
language : en
Publisher:
Release Date : 1970
On Foundations Of Game Theory written by Jenö Szép and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Game theory categories.
Game Theory Experience Rationality
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Author : W. Leinfellner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Game Theory Experience Rationality written by W. Leinfellner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Business & Economics categories.
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.
Game Theoretic Foundations For Probability And Finance
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Author : Glenn Shafer
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-21
Game Theoretic Foundations For Probability And Finance written by Glenn Shafer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Business & Economics categories.
Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University
Foundations Of Non Cooperative Game Theory
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Author : Klaus Ritzberger
language : en
Publisher:
Release Date : 2023
Foundations Of Non Cooperative Game Theory written by Klaus Ritzberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Game theory categories.
This textbook is intended for people taking advanced graduate courses in game theory. It provides a comprehensive account of the foundation theory and can be used in courses outside economics.
Logic And The Epistemic Foundations Of Game Theory
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Author : Michael Bacharach
language : en
Publisher:
Release Date : 1993
Logic And The Epistemic Foundations Of Game Theory written by Michael Bacharach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.