@Book{1807445089, author="Solan, Eilon", title="course in Stochastic game theory", series="London Mathematical Society student texts 103", year="2022", publisher="Cambridge University Press", address="Cambridge", keywords="Stochastisches Spiel; Spieltheorie; Game theory; MATHEMATICS / General", abstract="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.", note="Eilon Solan, Tel-Aviv University", note="Literaturverzeichnis: Seite 255-264", isbn="9781009029704", doi="10.1017/9781009029704", url="https://www.cambridge.org/core/books/course-in-stochastic-game-theory/1E01FBF77EE6B5AC8A0CD1E5120BC8B7", url="https://doi.org/10.1017/9781009029704", language="English" }