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Discrete Gambling and Stochastic Games

Ashok P Maitra, William D Sudderth
Livre broché | Anglais | Stochastic Modelling and Applied Probability | n° 32
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Description

The theory of probability began in the seventeenth century with attempts to calculate the odds of winning in certain games of chance. However, it was not until the middle of the twentieth century that mathematicians de- veloped general techniques for maximizing the chances of beating a casino or winning against an intelligent opponent. These methods of finding op- timal strategies for a player are at the heart of the modern theories of stochastic control and stochastic games. There are numerous applications to engineering and the social sciences, but the liveliest intuition still comes from gambling. The now classic work How to Gamble If You Must: Inequalities for Stochastic Processes by Dubins and Savage (1965) uses gambling termi- nology and examples to develop an elegant, deep, and quite general theory of discrete-time stochastic control. A gambler "controls" the stochastic pro- cess of his or her successive fortunes by choosing which games to play and what bets to make.

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Contenu

Nombre de pages :
244
Langue:
Anglais
Collection :
Tome:
n° 32

Caractéristiques

EAN:
9781461284673
Date de parution :
17-09-11
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
156 mm x 234 mm
Poids :
367 g

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