Toward 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.
Choose a destination to see accurate shipping times, delivery options, pricing and product availability.
Afterpay logo
Shop now. Pay later. Always interest‑free.
Swing through the checkout with Afterpay.Get your order now, pay in four fortnightly payments.
Afterpay offers simple payment plans for online shoppers, instantly at checkout.Buy what you want today, pay for it over time. Interest free, with no additional fees if you pay on
time.
1
Select Afterpay as your payment method
Use your existing payment card
2
Complete your checkout in seconds
No long forms, instant approval
3
Get your items just as fast as always
Your order ships straight away
4
Pay over four payments, interest free
Enjoy now, pay later
How it works
Simply select Afterpay as your payment method in the checkout or when picking up your items from the Mighty Ape distribution centre,
and enter your details at Afterpay to complete your order
Your payment schedule will be shown in the checkout, and emailed to you
If you are a new Afterpay customer, the first payment will be made at the time of purchase, with
remaining payments over the next 6 weeks
Once you have been an Afterpay customer for 6 weeks, on subsequent orders you may be eligible to
make your first payment in 14 days, with final payment in 8 weeks
If you need to return your items for a refund, the payment plan can be cancelled
If you fail to make a payment, you will be charged a late payment fee of $10 with a further $7
fee added 7 days later if the payment is still unpaid