Probability and finance : it’s only a game! /
Glenn Shafer, Vladimir Vovk.
- New York : J. Wiley & Sons, c2001.
- xi, 414 p. : ill. ; 24 cm.
- Wiley series in probability and statistics. .
Includes bibliographical references (p. 375-401) and index.
Preface -- Probability and Finance as a Game -- PROBABILITY WITHOUT MEASURE -- The Historical Context -- The Bounded Strong Law of Large Numbers -- Kolmogorov's Strong Law of Large Numbers -- The Law of the Iterated Logarithm -- The Weak Laws -- Lindeberg's Theorem -- The Generality of Probability Games -- FINANCE WITHOUT PROBABILITY -- Game-Theoretic Probability in Finance -- Games for Pricing Options in Discrete Time -- Games for Pricing Options in Continuous Time -- The Generality of Game-Theoretic Pricing -- Games for American Options -- Games for Diffusion Processes -- The Game-Theoretic Efficient-Market Hypothesis -- References -- Photograph Credits -- Notation -- Index.
Provides a foundation for probability based on game theory rather than measure theory -- A strong philosophical approach with practical applications -- Presents in-depth coverage of classical probability theory as well as new theory.