A Course in Stochastic Game Theory (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	London Mathematical Society Student Texts
Release date:	May 2022
Authors:	Eilon Solan
Dimensions:	235 x 158 x 20mm (L x W x T)
Format:	Hardcover
Pages:	275
ISBN-13:	978-1-316-51633-1
Categories:	Books > Computing & IT > General theory of computing > Data structures Books > Computing & IT > Computer programming > Algorithms & procedures Books > Reference & Interdisciplinary > Communication studies > Decision theory > Risk assessment Books > Business & Economics > Economics > Microeconomics > General Books > Science & Mathematics > Mathematics > Optimization > Game theory
LSN:	1-316-51633-4
Barcode:	9781316516331

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