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Author : Melvin Dresher
Publisher : Courier Corporation
Page : 208 pages
File Size : 52,6 Mb
Release : 2012-11-14
Category : Mathematics
ISBN : 9780486150062
This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.
Author : Melvin Dresher
Publisher : Unknown
Page : 184 pages
File Size : 46,5 Mb
Release : 1981
Category : Matematicas recreativas
ISBN : OCLC:778203313
Author : Melvin Dresher
Publisher : Rand Corporation
Page : 200 pages
File Size : 41,8 Mb
Release : 2007
Category : Business & Economics
ISBN : UCSC:32106018956521
Classic work from 1961 discusses basic concepts of game theory and its applications for military, economic, and political problems, as well as its usefulness in decisionmaking in business, operations research, and behavioral science.
Author : Dixit, Avinash K,Skeath, Susan
Publisher : W. W. Norton & Company
Page : 13 pages
File Size : 47,7 Mb
Release : 2015-01-05
Category : Business & Economics
ISBN : 9780393920758
A clear, comprehensive introduction to the study of game theory. In the fourth edition, new real-world examples and compelling end-of-chapter exercises engage students with game theory.
Author : Jörg Bewersdorff
Publisher : CRC Press
Page : 498 pages
File Size : 46,5 Mb
Release : 2021-04-28
Category : Mathematics
ISBN : 9781000372090
Praise for the First Edition "Luck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one’s skills." – Midwest Book Review "The best book I've found for someone new to game math is Luck, Logic and White Lies by Jörg Bewersdorff. It introduces the reader to a vast mathematical literature, and does so in an enormously clear manner. . ." – Alfred Wallace, Musings, Ramblings, and Things Left Unsaid "The aim is to introduce the mathematics that will allow analysis of the problem or game. This is done in gentle stages, from chapter to chapter, so as to reach as broad an audience as possible . . . Anyone who likes games and has a taste for analytical thinking will enjoy this book." – Peter Fillmore, CMS Notes Luck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem—generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games. This new edition features new and much refreshed chapters, including an all-new Part IV on the problem of how to measure skill in games. Readers are also introduced to new references and techniques developed since the previous edition. Features Provides a uniquely historical perspective on the mathematical underpinnings of a comprehensive list of games Suitable for a broad audience of differing mathematical levels. Anyone with a passion for games, game theory, and mathematics will enjoy this book, whether they be students, academics, or game enthusiasts Covers a wide selection of topics at a level that can be appreciated on a historical, recreational, and mathematical level. Jörg Bewersdorff (1958) studied mathematics from 1975 to 1982 at the University of Bonn and earned his PhD in 1985. In the same year, he started his career as game developer and mathematician. He served as the general manager of the subsidiaries of Gauselmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines, and coin-operated Internet terminals. Dr. Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics, and object-oriented programming with JavaScript.
Author : J.D. Williams
Publisher : Unknown
Page : 256 pages
File Size : 50,8 Mb
Release : 1954
Category : Electronic
ISBN : 8210379456XXX
Author : John D. Beasley
Publisher : Courier Corporation
Page : 228 pages
File Size : 43,7 Mb
Release : 2013-01-18
Category : Mathematics
ISBN : 9780486151625
"Mind-exercising and thought-provoking."—New Scientist If playing games is natural for humans, analyzing games is equally natural for mathematicians. Even the simplest of games involves the fundamentals of mathematics, such as figuring out the best move or the odds of a certain chance event. This entertaining and wide-ranging guide demonstrates how simple mathematical analysis can throw unexpected light on games of every type—games of chance, games of skill, games of chance and skill, and automatic games. Just how random is a card shuffle or a throw of the dice? Is bluffing a valid poker strategy? How can you tell if a puzzle is unsolvable? How large a role does luck play in games like golf and soccer? This book examines each of these issues and many others, along with the general principles behind such classic puzzles as peg solitaire and Rubik's cube. Lucid, instructive, and full of surprises, it will fascinate mathematicians and gamesters alike.
Author : Alfred S Posamentier,Stephen Krulik
Publisher : World Scientific
Page : 136 pages
File Size : 42,7 Mb
Release : 2016-11-11
Category : Mathematics
ISBN : 9789813146365
Games are seen only for recreation. However, this book shows that games can be used to strengthen problem-solving skills and beyond. This book presents strategy games and discusses for each one solutions towards a winning position in the game. In most cases, these strategies are analogous to problem-solving strategies in mathematics. Readers are also exposed to a wide variety of games from several different cultures, which will broaden the perspective of the readers.
Author : Samuel B. Smith
Publisher : Cambridge University Press
Page : 393 pages
File Size : 41,7 Mb
Release : 2015-06-29
Category : Business & Economics
ISBN : 9781107084520
This classroom-tested undergraduate textbook is intended for a general education course in game theory at the freshman or sophomore level. While it starts off with the basics and introduces the reader to mathematical proofs, this text also presents several advanced topics, including accessible proofs of the Sprague-Grundy Theorem and Arrow's Impossibility Theorem.
Author : Philip D. Straffin
Publisher : MAA
Page : 258 pages
File Size : 54,8 Mb
Release : 1993
Category : Mathematics
ISBN : 0883856379
This book deals with applications of game theory in a wide variety of disciplines.
Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 44,8 Mb
Release : 2000-12
Category : Mathematics
ISBN : 1898563144
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 : Rida Laraki,Jérôme Renault,Sylvain Sorin
Publisher : Springer Nature
Page : 240 pages
File Size : 48,8 Mb
Release : 2019-09-07
Category : Mathematics
ISBN : 9783030266462
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 : Elliott Mendelson
Publisher : CRC Press
Page : 274 pages
File Size : 43,8 Mb
Release : 2004-07-03
Category : Mathematics
ISBN : 1584883006
The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In a clear and refreshing departure from this trend, Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the author begins with a chapter devoted to combinatorial games--a topic neglected or treated minimally in most other texts. The focus then shifts to two-person zero-sum games and their solution. Here the author presents the simplex method, based on linear programming, for solving these games and develops within his presentation the required background in linear programming. The final chapter presents some of the fundamental ideas and tools of non-zero-sum games and games with more than two players, including an introduction to cooperative game theory. This book will not only satisfy the curiosity of those whose interest in the subject was piqued by the 1994 Nobel Prize awarded to Harsanyi, Nash, and Selten. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences.
Author : Jörg Bewersdorff
Publisher : CRC Press
Page : 505 pages
File Size : 46,9 Mb
Release : 2004-12-10
Category : Mathematics
ISBN : 9781000065312
This book considers a specific problem—generally a game or game fragment, and introduces the mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.
Author : Vladimir Mazalov
Publisher : John Wiley & Sons
Page : 432 pages
File Size : 53,8 Mb
Release : 2014-07-29
Category : Mathematics
ISBN : 9781118899632
Mathematical Game Theory and Applications Mathematical Game Theory and Applications An authoritative and quantitative approach to modern game theory with applications from economics, political science, military science and finance. Mathematical Game Theory and Applications combines both the theoretical and mathematical foundations of game theory with a series of complex applications along with topics presented in a logical progression to achieve a unified presentation of research results. This book covers topics such as two-person games in strategic form, zero-sum games, N-person non-cooperative games in strategic form, two-person games in extensive form, parlor and sport games, bargaining theory, best-choice games, co-operative games and dynamic games. Several classical models used in economics are presented which include Cournot, Bertrand, Hotelling and Stackelberg as well as coverage of modern branches of game theory such as negotiation models, potential games, parlor games and best choice games. Mathematical Game Theory and Applications: Presents a good balance of both theoretical foundations and complex applications of game theory. Features an in-depth analysis of parlor and sport games, networking games, and bargaining models. Provides fundamental results in new branches of game theory, best choice games, network games and dynamic games. Presents numerous examples and exercises along with detailed solutions at the end of each chapter. Is supported by an accompanying website featuring course slides and lecture content. Covering a host of important topics, this book provides a research springboard for graduate students and a reference for researchers who might be working in the areas of applied mathematics, operations research, computer science or economical cybernetics.