Discrete Mathematics And Game Theory
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Author | : Guillermo Owen |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 2012-12-06 |
Genre | : Business & Economics |
ISBN | : 1461549914 |
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.
Author | : Guillermo Owen |
Publisher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 1999-11-30 |
Genre | : Business & Economics |
ISBN | : 9780792385110 |
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.
Author | : Guillermo Owen |
Publisher | : |
Total Pages | : 358 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9781461549925 |
Author | : Elliott Mendelson |
Publisher | : CRC Press |
Total Pages | : 272 |
Release | : 2016-02-03 |
Genre | : Mathematics |
ISBN | : 1482285878 |
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
Author | : Bernhard von Stengel |
Publisher | : Cambridge University Press |
Total Pages | : 375 |
Release | : 2021-08-19 |
Genre | : Business & Economics |
ISBN | : 1108843301 |
A lively introduction to Game Theory, ideal for students in mathematics, computer science, or economics.
Author | : Bernadette Helen Perham |
Publisher | : Addison-Wesley Longman |
Total Pages | : 65 |
Release | : 1999-04-01 |
Genre | : Game theory |
ISBN | : 9780201258141 |
Author | : Melvin Dresher |
Publisher | : Courier Corporation |
Total Pages | : 212 |
Release | : 2012-11-14 |
Genre | : Mathematics |
ISBN | : 0486150062 |
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 | : David A. Blackwell |
Publisher | : Courier Corporation |
Total Pages | : 388 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 0486150895 |
Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.
Author | : Michael H. Albert |
Publisher | : Cambridge University Press |
Total Pages | : 577 |
Release | : 2009-05-29 |
Genre | : Mathematics |
ISBN | : 0521861349 |
This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.
Author | : Ronald J. Gould |
Publisher | : CRC Press |
Total Pages | : 376 |
Release | : 2015-10-28 |
Genre | : Mathematics |
ISBN | : 1498719538 |
Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to expla