000 03841cam a2200409 i 4500
015 _aGBB964191
_2bnb
016 7 _a019349003
_2Uk
020 _a9781118547939
_q(electronic book)
020 _a1118547934
_q(electronic book)
020 _a9781118548035
_q(electronic book)
020 _a1118548035
_q(electronic book)
020 _a9781118548028
_q(electronic book)
020 _a1118548027
_q(electronic book)
020 _z9780470903056
_q(hardcover)
037 _a9781118548028
_bWiley
040 _cCUS
072 7 _aBUS
_x027000
_2bisacsh
100 1 _aShafer, Glenn,
_d1946-
_eauthor.
240 1 0 _aProbability and finance
245 1 0 _aGame-theoretic foundations for probability and finance /
_cGlenn Ray Shafer, Vladimir Vovk.
260 1 _aHoboken, NJ :
_bJohn Wiley & Sons, Inc.,
_c2019.
260 4 _c©2019
300 _a1 online resource
490 1 _aWiley series in probability and statistics
500 _aEarlier edition published in 2001 as: Probability and finance : it's only a game!
520 _aGame-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers ver since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades. Peter Gr130 0Wiley series in probability and statisticsnwald, CWI and University of Leiden hafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors. Ioannis Karatzas, Columbia University.
650 0 _aFinance
_xStatistical methods.
650 0 _aFinance
_xMathematical models.
650 0 _aGame theory.
650 7 _aBUSINESS & ECONOMICS
_xFinance.
_2bisacsh
650 7 _aFinance
_xMathematical models.
_2fast
_0(OCoLC)fst00924398
650 7 _aFinance
_xStatistical methods.
_2fast
_0(OCoLC)fst00924417
650 7 _aGame theory.
_2fast
_0(OCoLC)fst00937501
700 1 _aVovk, Vladimir,
_d1960-
_eauthor.
830 0 _aWiley series in probability and statistics.
856 4 0 _uhttps://doi.org/10.1002/9781118548035
_zWiley Online Library
942 _cEBK
999 _c208838
_d208838