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A Course in Stochastic Game Theory

Eilon Solan
Livre broché | Anglais | London Mathematical Society Student Texts | n° 103
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Description

Stochastic games have an element of chance: the state of the next round is determined probabilistically depending upon players' actions and the current state. Successful players need to balance the need for short-term payoffs while ensuring future opportunities remain high. The various techniques needed to analyze these often highly non-trivial games are a showcase of attractive mathematics, including methods from probability, differential equations, algebra, and combinatorics. This book presents a course on the theory of stochastic games going from the basics through to topics of modern research, focusing on conceptual clarity over complete generality. Each of its chapters introduces a new mathematical tool - including contracting mappings, semi-algebraic sets, infinite orbits, and Ramsey's theorem, among others - before discussing the game-theoretic results they can be used to obtain. The author assumes no more than a basic undergraduate curriculum and illustrates the theory with numerous examples and exercises, with solutions available online.

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Parties prenantes

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Editeur:

Contenu

Nombre de pages :
275
Langue:
Anglais
Collection :
Tome:
n° 103

Caractéristiques

EAN:
9781009014793
Date de parution :
26-05-22
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
152 mm x 229 mm
Poids :
412 g

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