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Lectures in game theory for computer scientists /

Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This co...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Apt, Krzysztof R., 1949-, Grädel, Erich, 1958-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, ©2011.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: 1. A Primer on Strategic Games / Krzysztof R. Apt
  • 1.1. Introduction
  • 1.2. Basic concepts
  • 1.3. Iterated elimination of strategies I
  • 1.4. Mixed extension
  • 1.5. Iterated elimination of strategies II
  • 1.6. Variations on the definition of strategic games
  • 1.7. Mechanism design
  • 1.8. Pre-Bayesian games
  • 1.9. Conclusions
  • 2. Infinite Games and Automata Theory / Christof Loding
  • 2.1. Introduction
  • 2.2. Basic notations and definitions
  • 2.3. Transformation of winning conditions
  • 2.4. Tree automata
  • 2.5. Beyond finite automata
  • 2.6. Conclusion
  • 3. Algorithms for Solving Parity Games / Marcin Jurdzinski
  • 3.1. Games on graphs
  • 3.2. Solving repeated reachability and eventual safety games.
  • 3.3. Solving parity games
  • 3.4. Related work
  • 4. Back and Forth Between Logic and Games / Erich Gradel
  • 4.1. Introduction
  • 4.2. Reachability games and parity games
  • 4.3. Reachability games and logic
  • 4.4. Logics with least and greatest fixed-points
  • 4.5. Definability of winning regions in parity games
  • 4.6. Inflationary fixed-point logic and backtracking games
  • 4.7. Logic and games in a quantitative setting
  • 5. Turn-Based Stochastic Games / Antonin Kucera
  • 5.1. Introduction
  • 5.2. Winning objectives in stochastic games
  • 5.3. Reachability objectives in games with finitely and infinitely many vertices
  • 5.4. Some directions of future research
  • 6. Games with Imperfect Information: Theory and Algorithms / Jean-Francois Raskin
  • 6.1. Introduction
  • 6.2. Games with perfect information.
  • 6.3. Games with imperfect information: surely-winning
  • 6.4. Games with imperfect information: almost-surely-winning
  • 7. Graph Searching Games / Stephan Kreuizer
  • 7.1. Introduction
  • 7.2. Classifying graph searching games
  • 7.3. Variants of graph searching games
  • 7.4. Monotonicity of graph searching
  • 7.5. Obstructions
  • 7.6. An application to graph-decompositions
  • 7.7. Complexity of graph searching
  • 7.8. Conclusion
  • 8. Beyond Nash Equilibrium: Solution Concepts for the 21st Century / Joseph Y. Halpern
  • 8.1. Introduction
  • 8.2. Robust and resilient equilibrium
  • 8.3. Taking computation into account
  • 8.4. Taking (lack of) awareness into account
  • 8.5. Iterated regret minimisation
  • 8.6. Conclusions.