Mathematical Game Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Game Theory PDF full book. Access full book title Mathematical Game Theory.
| Author | : Julio González-Díaz |
| Publisher | : American Mathematical Society |
| Total Pages | : 324 |
| Release | : 2021-10-22 |
| Genre | : Mathematics |
| ISBN | : 1470465736 |
Download An Introductory Course on Mathematical Game Theory Book in PDF, ePub and Kindle
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.
| Author | : Rida Laraki |
| Publisher | : Springer Nature |
| Total Pages | : 240 |
| Release | : 2019-09-07 |
| Genre | : Mathematics |
| ISBN | : 303026646X |
Download Mathematical Foundations of Game Theory Book in PDF, ePub and Kindle
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.
| Author | : Philip D. Straffin |
| Publisher | : MAA |
| Total Pages | : 258 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : 9780883856376 |
Download Game Theory and Strategy Book in PDF, ePub and Kindle
This book deals with applications of game theory in a wide variety of disciplines.
| Author | : A. J. Jones |
| Publisher | : Horwood Publishing |
| Total Pages | : 304 |
| Release | : 2000-12 |
| Genre | : Mathematics |
| ISBN | : 9781898563143 |
Download Game Theory Book in PDF, ePub and Kindle
This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.
| Author | : Jean-Pierre Aubin |
| Publisher | : Courier Corporation |
| Total Pages | : 658 |
| Release | : 2007-01-01 |
| Genre | : Mathematics |
| ISBN | : 048646265X |
Download Mathematical Methods of Game and Economic Theory Book in PDF, ePub and Kindle
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.
| Author | : Anatol Rapoport |
| Publisher | : Courier Corporation |
| Total Pages | : 241 |
| Release | : 2013-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486281094 |
Download Two-Person Game Theory Book in PDF, ePub and Kindle
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
| Author | : Mike Mesterton-Gibbons |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 394 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 0821819291 |
Download An Introduction to Game-Theoretic Modelling Book in PDF, ePub and Kindle
This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.
| Author | : James N. Webb |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 237 |
| Release | : 2007-03-06 |
| Genre | : Mathematics |
| ISBN | : 1846286360 |
Download Game Theory Book in PDF, ePub and Kindle
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.
| Author | : Saul Stahl |
| Publisher | : John Wiley & Sons |
| Total Pages | : 430 |
| Release | : 2014-08-21 |
| Genre | : Mathematics |
| ISBN | : 1118546148 |
Download Introduction to Topology and Geometry Book in PDF, ePub and Kindle
An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics. Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.
| Author | : Ein-Ya Gura |
| Publisher | : Cambridge University Press |
| Total Pages | : 242 |
| Release | : 2008-11-13 |
| Genre | : Business & Economics |
| ISBN | : 110771771X |
Download Insights into Game Theory Book in PDF, ePub and Kindle
Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.
