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A Course in Stochastic Game Theory

A Course in Stochastic Game Theory - London Mathematical Society Student Texts

Paperback (26 May 2022)

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Publisher's Synopsis

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.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

Book information

ISBN: 9781009014793
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 519.3
DEWEY edition: 23
Language: English
Number of pages: 275
Weight: 426g
Height: 152mm
Width: 227mm
Spine width: 23mm