Mathematical Methods Of Game And Economic Theory
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Mathematical Methods Of Game And Economic Theory
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Author : Jean-Pierre Aubin
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Mathematical Methods Of Game And Economic Theory written by Jean-Pierre Aubin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Mathematical Methods Of Game And Economic Theory
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Author : Jean-Pierre Aubin
language : en
Publisher: Courier Dover Publications
Release Date : 2007
Mathematical Methods Of Game And Economic Theory written by Jean-Pierre Aubin and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Business & Economics categories.
This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.
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.
Theory Of Games And Economic Behavior
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Author : John Von Neumann
language : en
Publisher: Diana
Release Date : 2020-01-29
Theory Of Games And Economic Behavior written by John Von Neumann and has been published by Diana this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Games & Activities categories.
This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.
Fixed Point Theorems With Applications To Economics And Game Theory
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Author : Kim C. Border
language : en
Publisher: Cambridge University Press
Release Date : 1985
Fixed Point Theorems With Applications To Economics And Game Theory written by Kim C. Border and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Business & Economics categories.
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Game Theory
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Author : Hans Peters
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-15
Game Theory written by Hans Peters 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 2008-08-15 with Business & Economics categories.
This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.
Fixed Points And Economic Equilibria
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Author : Ken Urai
language : en
Publisher: World Scientific
Release Date : 2010-05-13
Fixed Points And Economic Equilibria written by Ken Urai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-13 with Mathematics categories.
This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.
Mathematical Optimization And Economic Theory
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Author : Michael D. Intriligator
language : en
Publisher: SIAM
Release Date : 2002-01-01
Mathematical Optimization And Economic Theory written by Michael D. Intriligator and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Discrete Mathematics And Game Theory
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Author : Guillermo Owen
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-30
Discrete Mathematics And Game Theory written by Guillermo Owen 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 1999-11-30 with Business & Economics categories.
This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only proper grounding for academics who wish to apply mathematics. The choice of topics is based on a desire to present those facets of mathematics which will be useful to economists and social/behavioral scientists. The volume is divided into seven chapters. Chapter I presents a brief review of the solution of systems of linear equations by the use of matrices. Chapter III introduces the theory of probability. The rest of the book deals with new developments in mathematics such as linear and dynamic programming, the theory of networks and the theory of games. These developments are generally recognized as the most important field in the `new mathematics' and they also have specific applications in the management sciences.
Mathematical Methods Of Game And Economic Theory
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Author : Jean-Pierre Aubin
language : en
Publisher: Dover Publications
Release Date : 2013-12-23
Mathematical Methods Of Game And Economic Theory written by Jean-Pierre Aubin and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-23 with Economics, Mathematical categories.
This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.