Probability and finance : it's only a game! / Glenn Shafer, Vladimir Vovk.

Author
Shafer, Glenn, 1946- [Browse]
Format
Book
Language
English
Published/​Created
New York : J. Wiley & Sons, ©2001.
Description
xi, 414 p. : ill. ; 24 cm.

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks HG4515.3 .S534 2001 Browse related items Request

    Details

    Subject(s)
    Series
    Wiley series in probability and statistics. Financial engineering section [More in this series]
    Summary note
    Glenn Shafer reveals how probability is based on game theory, and how this can free many uses of probability, especially in finance, from distracting and confusing assumptions about randomness.
    Bibliographic references
    Includes bibliographical references (p. 375-401) and index.
    Contents
    • Probability and Finance as a Game
    • A Game with the World
    • The Protocol for a Probability Game
    • The Fundamental Interpretative Hypothesis
    • The Many Interpretations of Probability
    • Game-Theoretic Probability in Fiannce
    • Probability without Measure
    • The Historical Context
    • Probability before Kolmogorov
    • Kolmogorov's Measure-Theoretic Framework
    • Realized Randomness
    • What is a Martingale?
    • The Impossibility of a Gambling System
    • Neosubjectivism
    • The Bounded Strong Law of Large Numbers
    • The Fair-Coin Game
    • Forecasting a Bounded Variable
    • Who Sets the Prices?
    • Asymmetric Bounded Forecasting Games
    • Appendix: The Computation of Strategies
    • Kolmogorov's Strong Law of Large Numbers
    • Two Statements of Kolmogorov's Strong Law
    • Skeptic's Strategy
    • Reality's Strategy
    • The Unbounded Upper Forecasting Protocol
    • A Martingale Strong Law
    • Appendix: Martin's Theorem
    • The Law of the Iterated Logarithm
    • Unbounded Forecasting Protocols
    • The Validity of the Iterated-Logarithm Bound
    • The Sharpness of the Iterated-Logarithm Bound
    • A Martingale Law of the Iterated Logarithm
    • Appendix: Historical Comments
    • Appendix: Kolmogorov's Finitary Interpretation
    • The Weak Laws
    • Bernoulli's Theorem
    • De Moivre's Theorem
    • A One-Sided Central Limit Theorem
    • Appendix: The Gaussian Distribution
    • Appendix: Stochastic Parabolic Potential Theory
    • Lindeberg's Theorem
    • Lindeberg Protocols
    • Statement and Proof of the Theorem
    • Examples of the Theorem.
    ISBN
    • 0471402265 ((acid-free paper))
    • 9780471402268 ((acid-free paper))
    LCCN
    2001024030
    OCLC
    46353420
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