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A course in Stochastic game theory
~
Solan, Eilon.
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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 theory/ Eilon 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
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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https://doi.org/10.1017/9781009029704
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