TY  - BOOK
AU  - Solan, Eilon
PY  - 2022
DA  - 2022//
TI  - course in Stochastic game theory
T3  - London Mathematical Society student texts 103
PB  - Cambridge University Press
CY  - Cambridge
KW  - Stochastisches Spiel
KW  - Spieltheorie
KW  - Game theory
KW  - MATHEMATICS / General
AB  - 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.
SN  - 9781009029704
UR  - https://www.cambridge.org/core/books/course-in-stochastic-game-theory/1E01FBF77EE6B5AC8A0CD1E5120BC8B7
UR  - https://doi.org/10.1017/9781009029704
DO  - 10.1017/9781009029704
LA  - English
N1  - Eilon Solan, Tel-Aviv University
ID  - 1807445089
ER  -