A Course in Stochastic Game Theory
eBook - PDF

A Course in Stochastic Game Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A Course in Stochastic Game Theory

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access A Course in Stochastic Game Theory by Eilon Solan in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematik Allgemein. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2022
ISBN
9781009034340
Topic
Mathematik
Subtopic
Mathematik Allgemein

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Dedication
  6. Contents
  7. Introduction
  8. 1 Markov Decision Problems
  9. 2 A Tauberian Theorem and Uniform Δ-Optimality in Hidden Markov Decision Problems
  10. 3 Strategic-Form Games: A Review
  11. 4 Stochastic Games: The Model
  12. 5 Two-Player Zero-Sum Discounted Games
  13. 6 Semi-Algebraic Sets and the Limit of the Discounted Value
  14. 7 B-Graphs and the Continuity of the Limit lim[sub(λ→0)] v[sub(λ)](s;q,r)
  15. 8 Kakutani's Fixed-Point Theorem and Multiplayer Discounted Stochastic Games
  16. 9 Uniform Equilibrium
  17. 10 The Vanishing Discount Factor Approach and Uniform Equilibrium in Absorbing Games
  18. 11 Ramsey's Theorem and Two-Player Deterministic Stopping Games
  19. 12 Infinite Orbits and Quitting Games
  20. 13 Linear Complementarity Problems and Quitting Games
  21. References
  22. Index