A Course in Stochastic Game Theory (Hardcover) (ISBN-13: 9781316516331)

Stochastic games 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.

Author: Eilon Solan
ISBN-10: 1316516334
ISBN-13: 9781316516331
Publisher: Cambridge University Press
Language: English
Published: 05/26/2022
Pages: 278
Format: Hardcover
Weight: 1.27lbs
Size: 9.00h x 6.00w x 0.75d