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A course in Stochastic game theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A course in Stochastic game theoryEilon Solan.
作者:	Solan, Eilon.
出版者:	Cambridge :Cambridge University Press,2022.
面頁冊數:	ix, 267 p. :ill., digital ;23 cm.
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
標題:	Game theory.
電子資源:	https://doi.org/10.1017/9781009029704
ISBN:	9781009029704$q(electronic bk.)

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 ;81..

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: 9781009029704$q(electronic bk.)Subjects--Topical Terms:

182956
Game theory.

LC Class. No.: QA269 / .S65 2022

Dewey Class. No.: 519.3

A course in Stochastic game theory
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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.
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856 4 0 $u https://doi.org/10.1017/9781009029704