A course in Stochastic game theory / Eilon Solan, Tel-Aviv University

Englisch

Cambridge : Cambridge University Press, 2022

1 Online-Ressource (ix, 267 Seiten) : Diagramme

Literaturverzeichnis: Seite 255-264

Erscheint auch als: Druck-Ausgabe- Solan, Eilon *1968-*: A course in stochastic game theory. - Cambridge : Cambridge University Press, 2022. - ix, 267 Seiten

978-1-009-02970-4 ebook

Weitere Ausgaben: 978-1-316-51633-1 (Druckausgabe) hardback, 978-1-009-01479-3 (Druckausgabe) paperback

DOI: 10.1017/9781009029704

*Spieltheorie / Stochastisches Spiel

*Game theory

Stochastisches Spiel / Spieltheorie

Dewey Dezimal-Klassifikation: 519.3

Mathematics Subject Classification: 91-01

Mathematics Subject Classification: 91A15

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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