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Details for:
Solan E. A Course in Stochastic Game Theory 2022
solan e course stochastic game theory 2022
Type:
E-books
Files:
1
Size:
8.4 MB
Uploaded On:
Jan. 21, 2023, 2:14 p.m.
Added By:
andryold1
Seeders:
1
Leechers:
0
Info Hash:
88144D40114B4671F98888AA924F4013B8A1D08C
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Textbook in PDF format 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. Frontmatter Dedication Contents Introduction Markov Decision Problems A Tauberian Theorem and Uniform Optimality in Hidden Markov Decision Problems Strategic-Form Games A Review Stochastic Games The Model Two-Player Zero-Sum Discounted Games Semi-Algebraic Sets and the Limit of the Discounted Value B-Graphs and the Continuity of the Limit lim sqr Kakutanis Fixed-Point Theorem and Multiplayer Discounted Stochastic Games Uniform Equilibrium The Vanishing Discount Factor Approach and Uniform Equilibrium in Absorbing Games Ramseys Theorem and Two-Player Deterministic Stopping Games Infinite Orbits and Quitting Games Linear Complementarity Problems and Quitting Games References Index
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Solan E. A Course in Stochastic Game Theory 2022.pdf
8.4 MB
