A Course In Stochastic Game Theory (London Mathematical Society Student Texts, Series Number 103) - 9781009014793

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.

• | Author: Eilon Solan
• | Publisher: Cambridge University Press
• | Publication Date: Apr 27, 2022
• | Number of Pages: 278 pages
• | Language: English
• | Binding: Paperback/Mathematics
• | ISBN-10: 100901479X
• | ISBN-13: 9781009014793