Overview
- Authors:
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Ashok P. Maitra
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College of Liberal Arts School of Statistics, University of Minnesota, Minneapolis, USA
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William D. Sudderth
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College of Liberal Arts School of Statistics, University of Minnesota, Minneapolis, USA
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Table of contents (7 chapters)
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- Ashok P. Maitra, William D. Sudderth
Pages 1-3
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- Ashok P. Maitra, William D. Sudderth
Pages 5-22
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- Ashok P. Maitra, William D. Sudderth
Pages 23-57
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- Ashok P. Maitra, William D. Sudderth
Pages 59-88
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- Ashok P. Maitra, William D. Sudderth
Pages 89-111
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- Ashok P. Maitra, William D. Sudderth
Pages 113-170
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- Ashok P. Maitra, William D. Sudderth
Pages 171-225
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Back Matter
Pages 227-244
About this book
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 de veloped general techniques for maximizing the chances of beating a casino or winning against an intelligent opponent. These methods of finding op timal strategies for a player are at the heart of the modern theories of stochastic control and stochastic games. There are numerous applications to engineering and the social sciences, but the liveliest intuition still comes from gambling. The now classic work How to Gamble If You Must: Inequalities for Stochastic Processes by Dubins and Savage (1965) uses gambling termi nology and examples to develop an elegant, deep, and quite general theory of discrete-time stochastic control. A gambler "controls" the stochastic pro cess of his or her successive fortunes by choosing which games to play and what bets to make.
