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024 7 $a10.1007/978-0-8176-8388-7
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035   $a(EBL)1081660
035   $a(OCoLC)823388506
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035   $a(DE-He213)978-0-8176-8388-7
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100   $a20130108d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe interval market model in mathematical finance $egame-theoretic methods /$fPierre Bernhard ... [et al.]
205   $a1st ed. 2013.
210   $aNew York $cBirkhauser$d2013
215   $a1 online resource (347 p.)
225 1 $aStatic & Dynamic Game Theory: Foundations & Applications,$x2363-8516
300   $aDescription based upon print version of record.
311   $a1-4899-8580-8 
311   $a0-8176-8387-9 
320   $aIncludes bibliographical references and index.
327   $apt. I. Revisiting two classic results in dynamic portfolio management -- pt. II. Hedging in interval models -- pt. III. Robust-control approach to option pricing -- pt. IV. Game-theoretic analysis of rainbow options in incomplete markets -- pt. V. Viability approach to complex option pricing and portfolio insurance.
330   $aToward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion ?Samuelson? market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods. A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: ·         probability-free Black-Scholes theory; ·         fair-price interval of an option; ·         representation formulas and fast algorithms for option pricing; ·         rainbow options; ·         tychastic approach of mathematical finance based upon viability theory. This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.
410  0$aStatic & Dynamic Game Theory: Foundations & Applications,$x2363-8516
606   $aInvestments$xMathematics
615  0$aInvestments$xMathematics.
676   $a332.6/01/51
700   $aBernhard$b Pierre$054445
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438136703321
996   $aThe Interval Market Model in Mathematical Finance$92502199
997   $aUNINA