%0 Book
%T course in Stochastic game theory
%A Solan, Eilon
%S London Mathematical Society student texts 103
%D 2022
%I Cambridge University Press
%C Cambridge
%@ 9781009029704
%G English
%F 1807445089
%O Eilon Solan, Tel-Aviv University
%O Literaturverzeichnis: Seite 255-264
%X 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.
%L QH 435
%K Stochastisches Spiel
%K Spieltheorie
%K Game theory
%K MATHEMATICS / General
%9 Text
%R 10.1017/9781009029704
%U https://www.cambridge.org/core/books/course-in-stochastic-game-theory/1E01FBF77EE6B5AC8A0CD1E5120BC8B7
%U https://doi.org/10.1017/9781009029704