TY - BOOK AU - Apt,Krzysztof R. AU - Grädel,Erich TI - Lectures in game theory for computer scientists SN - 9780521198660 (hbk.) AV - QA269 .L43 2011 U1 - 004.015193 Ap8L 23 PY - 2011/// CY - Cambridge PB - Cambridge University Press KW - Game theory KW - Computer science KW - Mathematics N1 - Includes bibliographical references and index; 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 ER -