A Gentle Introduction To Game Theory
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A Gentle Introduction To Game Theory
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Author : Saul Stahl
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
A Gentle Introduction To Game Theory written by Saul Stahl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The mathematical theory of games was first developed as a model for situations of conflict, whether actual or recreational. It gained widespread recognition when it was applied to the theoretical study of economics by von Neumann and Morgenstern in Theory of Games and Economic Behavior in the 1940s. The later bestowal in 1994 of the Nobel Prize in economics on Nash underscores the important role this theory has played in the intellectual life of the twentieth century. This volume is based on courses given by the author at the University of Kansas. The exposition is "gentle" because it requires only some knowledge of coordinate geometry; linear programming is not used. It is "mathematical" because it is more concerned with the mathematical solution of games than with their applications. Existing textbooks on the topic tend to focus either on the applications or on the mathematics at a level that makes the works inaccessible to most non-mathematicians. This book nicely fits in between these two alternatives. It discusses examples and completely solves them with tools that require no more than high school algebra. In this text, proofs are provided for both von Neumann's Minimax Theorem and the existence of the Nash Equilibrium in the $2 \times 2$ case. Readers will gain both a sense of the range of applications and a better understanding of the theoretical framework of these two deep mathematical concepts.
Understanding Game Theory
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Author : Vasilij Nikiti? Kolokol'cov
language : en
Publisher: World Scientific
Release Date : 2010
Understanding Game Theory written by Vasilij Nikiti? Kolokol'cov 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 with Mathematics categories.
This work offers a concise but wide-ranging introduction to games, including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics.
Understanding Game Theory Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation Second Edition
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Author : Vasily N Kolokoltsov
language : en
Publisher: World Scientific
Release Date : 2020-08-21
Understanding Game Theory Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation Second Edition written by Vasily N Kolokoltsov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-21 with Mathematics categories.
Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.
A Gentle Introduction To Optimization
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Author : B. Guenin
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-31
A Gentle Introduction To Optimization written by B. Guenin 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 2014-07-31 with Business & Economics categories.
Assuming only basic linear algebra, this textbook is the perfect starting point for undergraduate students from across the mathematical sciences.
Matt Devos And Deborah A Kent
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Author : Matt DeVos
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-27
Matt Devos And Deborah A Kent written by Matt DeVos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-27 with Mathematics categories.
This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.
Essays On Numbers And Figures
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Author : Viktor Vasilʹevich Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Essays On Numbers And Figures written by Viktor Vasilʹevich Prasolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The English translation of a book originally published in Russian. It contains 20 essays, each dealing with a separate mathematical topic. The topics range from brilliant mathematical statements with interesting proofs, to simple and effective methods of problem-solving, to interesting properties of polynomials, to exceptional points of the triangle. Many of the topics have a long and interesting history and the author has lectured on them to students worldwide. The essays are independent of one another for the most part, and each presents a vivid mathematical result that led to current research in number theory, geometry, polynomial algebra, or topology.
Portraits Of The Earth
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Author : Timothy G. Feeman
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Portraits Of The Earth written by Timothy G. Feeman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
``Every map is a tool, a product of human effort and creativity, that represents some aspects of our world or universe ... [This] course was powered by the belief that by exploring the mathematical ideas involved in creating and analyzing maps, students would see how mathematics could help them to understand and explain their world.'' -from the Preface Portraits of the Earth exemplifies the AMS's mission to bring the power and vitality of mathematical thought to the nonexpert. It isdesigned to teach students to think logically and to analyze the technical information that they so readily encounter every day. Maps are exciting, visual tools that we encounter on a daily basis: from street maps to maps of the world accompanying news stories to geologic maps depicting theunderground structure of the earth. This book explores the mathematical ideas involved in creating and analyzing maps, a topic that is rarely discussed in undergraduate courses. It is the first modern book to present the famous problem of mapping the earth in a style that is highly readable and mathematically accessible to most students. Feeman's writing is inviting to the novice, yet also interesting to readers with more mathematical experience. Through the visual context of maps andmapmaking, students will see how contemporary mathematics can help them to understand and explain the world. Topics explored are the shape and size of the earth, basic spherical geometry, and why one can't make a perfect flat map of the planet. The author discusses different attributes that maps can have anddetermines mathematically how to design maps that have the desired features. The distortions that arise in making world maps are quantitatively analyzed. There is an in-depth discussion on the design of numerous map projections-both historical and contemporary-as well as conformal and equal-area maps. Feeman looks at how basic map designs can be modified to produce maps with any center, and he indicates how to generalize methods to produce maps of arbitrary surfaces of revolution. Also includedare end-of-chapter exercises and laboratory projects. Particularly interesting is a chapter that explains how to use MapleR add-on software to make maps from geographic data points. This book would make an excellent text for a basic undergraduate mathematics or geography course and would beespecially appealing to the teacher who is interested in exciting visual applications in the classroom. It would also serve nicely as supplementary reading for a course in calculus, linear algebra, or differential geometry. Prerequisites include a solid grasp of trigonometry and basic calculus. RWaterloo Maple, Inc., Ontario, Canada.
Kvant Selecta Algebra And Analysis Ii
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Author : Serge Tabachnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Kvant Selecta Algebra And Analysis Ii written by Serge Tabachnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This text is the second in a series of translated articles published since 1970 in Kvant ("Quantum"), the influential Russian journal of mathematics and physics education. The 16 contributions treat diverse aspects of analysis and algebra: e.g. formulas for prime numbers, Chebyshev polynomials, elliptical curves. Lacks an index. Annotation copyrighted by Book News, Inc., Portland, OR
Kvant Selecta Algebra And Analysis I
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Author : Serge Tabachnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1999-08-03
Kvant Selecta Algebra And Analysis I written by Serge Tabachnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-03 with Mathematics categories.
A selection of 17 articles published in the influential Russian journal Kvant (Quantum) from 1970 to 1990. They present mathematics in a conceptual, entertaining, and accessible way for students and teachers at undergraduate and advanced high school levels. The titles include Do You Like Messing Around with Integers?, On Bertrand's Conjecture, and best of all Amazing Adventures in the Land of Repeating Decimals. The series will continue. There is no index. Annotation copyrighted by Book News, Inc., Portland, OR
A Mathematical Gift I
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Author : Kenji Ueno
language : en
Publisher: American Mathematical Society
Release Date : 2023-07-13
A Mathematical Gift I written by Kenji Ueno and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-13 with Mathematics categories.
This is the first of three volumes originated from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students. The main purpose of the lectures was to show the listeners the beauty and liveliness of mathematics using the material that is accessible to people with little preliminary knowledge. The first chapter of the book talks about the geometry and topology of surfaces. Among other topics the authors discuss the Poincar‚?Hopf theorem about critical points of vector fields on surfaces and the Gauss?Bonnet theorem about the relation between the curvature and topology (Euler characteristics). The second chapter addresses various aspects of the concept of dimension, including the Peano curve and the Poincar‚ approach to dimension. It also discusses the structure of three-dimensional manifolds, proving, in particular, that the three-dimensional sphere is the union of two doughnuts.