Statistics, Probability Theory, Gambling - General & Miscellaneous, Mathematics - Recreation & Games
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Overview
The theory of probability began in the seventeenth century with attempts to calculate the odds of winning in certain games of chance. However, it was not until the middle of the twentieth century that mathematicians developed general techniques for maximizing the chances of beating a casino or winning against an intelligent opponent. These methods of finding optimal strategies are at the heart of the modern theory of stochastic control and stochastic games. This monograph provides an introduction to the ideas of gambling theory and stochastic games. The first chapters introduce the ideas and notation of gambling theory. Chapters 3 and 4 consider "leavable" and "nonleavable" problems that form the core theory of this subject. Chapters 5, 6, and 7 cover stationary strategies, approximation results, and two-person zero-sum stochastic games, respectively. Throughout, the authors have included examples, and there are problem sets at the end of each chapter.Book Details
Published
July 31, 2012
Publisher
Springer-Verlag New York, LLC
Pages
271
Format
Paperback
ISBN
9781461284673