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The Doctrine of Chances

Probabilistic Aspects of Gambling

  • Stewart N. Ethier

Part of the Probability and its Applications book series (PIA)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Theory

    1. Front Matter
      Pages 1-1
    2. Stewart N. Ethier
      Pages 3-73
    3. Stewart N. Ethier
      Pages 75-94
    4. Stewart N. Ethier
      Pages 95-117
    5. Stewart N. Ethier
      Pages 119-158
    6. Stewart N. Ethier
      Pages 159-198
    7. Stewart N. Ethier
      Pages 199-240
    8. Stewart N. Ethier
      Pages 241-274
    9. Stewart N. Ethier
      Pages 275-316
    10. Stewart N. Ethier
      Pages 317-356
    11. Stewart N. Ethier
      Pages 357-390
    12. Stewart N. Ethier
      Pages 391-425
  3. Applications

    1. Front Matter
      Pages 427-427
    2. Stewart N. Ethier
      Pages 429-460
    3. Stewart N. Ethier
      Pages 461-482
    4. Stewart N. Ethier
      Pages 483-500
    5. Stewart N. Ethier
      Pages 501-524
    6. Stewart N. Ethier
      Pages 525-544
    7. Stewart N. Ethier
      Pages 545-572
    8. Stewart N. Ethier
      Pages 573-595
    9. Stewart N. Ethier
      Pages 597-621
    10. Stewart N. Ethier
      Pages 623-642
    11. Stewart N. Ethier
      Pages 643-687
    12. Stewart N. Ethier
      Pages 689-744
  4. Back Matter
    Pages 745-816

About this book

Introduction

Three centuries ago Montmort and De Moivre published two of the first books on probability theory, then called the doctrine of chances, emphasizing its most important application at that time, games of chance. This volume, on the probabilistic aspects of gambling, is a modern version of those classics. While covering the classical material such as house advantage and gambler's ruin, it also takes up such 20th-century topics as martingales, Markov chains, game theory, bold play, and optimal proportional play. In addition there is extensive coverage of specific casino games such as roulette, craps, video poker, baccarat, and twenty-one.

The volume addresses researchers and graduate students in probability theory, stochastic processes, game theory, operations research, statistics but it is also accessible to undergraduate students, who have had a course in probability.

Keywords

Operations Research Probability theory gambling game theory games of chance mathematics probability

Authors and affiliations

  • Stewart N. Ethier
    • 1
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78783-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78782-2
  • Online ISBN 978-3-540-78783-9
  • Series Print ISSN 1431-7028
  • Buy this book on publisher's site