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A course in Stochastic game theory

Solan, Eilon.

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A course in Stochastic game theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	A course in Stochastic game theory/ Eilon Solan.
Author:	Solan, Eilon.
Published:	Cambridge :Cambridge University Press, : 2022.,
Description:	ix, 267 p. :ill., digital ;23 cm.
Notes:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
Subject:	Game theory. -
Online resource:	https://doi.org/10.1017/9781009029704
ISBN:	9781009029704

A course in Stochastic game theory
Solan, Eilon.

A course in Stochastic game theory[electronic resource] /Eilon Solan. - Cambridge :Cambridge University Press,2022. - ix, 267 p. :ill., digital ;23 cm. - London Mathematical Society student texts ;103. - London Mathematical Society student texts ;103..

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

Stochastic games are 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.

ISBN: 9781009029704Subjects--Topical Terms:

532607
Game theory.

LC Class. No.: QA269 / .S65 2022

Dewey Class. No.: 519.3

A course in Stochastic game theory
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100 1 $a Solan, Eilon. $3 2010693
245 1 2 $a A course in Stochastic game theory $h [electronic resource] / $c Eilon Solan.
260 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a ix, 267 p. : $b ill., digital ; $c 23 cm.
490 1 $a London Mathematical Society student texts ; $v 103
500 $a Title from publisher's bibliographic system (viewed on 07 Apr 2022).
520 $a Stochastic games are 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.
650 0 $a Game theory. $3 532607
830 0 $a London Mathematical Society student texts ; $v 103. $3 3645668
856 4 0 $u https://doi.org/10.1017/9781009029704