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Epistemic Logic and the Theory of Games and Decisions de M. Bacharach

Epistemic Logic and the Theory of Games and Decisions

Editat de M. Bacharach, Louis André Gerard-Varet, Philippe Mongin, H S Shin
en Limba Engleză Hardback – 31 oct 1997
The convergence of game theory and epistemic logic has been in progress for years. This book considers the issues of knowledge, belief and strategic interaction. It focuses on epistemic logic and the representative topics of backward induction arguments and syntax/semantics and the logical omniscience problem.
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Specificații

ISBN-13: 9780792348047
ISBN-10: 0792348044
Pagini: 366
Ilustrații: XXXIV, 366 p.
Dimensiuni: 156 x 234 x 24 mm
Greutate: 0.74 kg
Ediția:1997 edition
Editura: Springer Us
Locul publicării:New York, NY, United States

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Research

Cuprins

I Iterated Knowledge and Common Knowledge.- 1 On the Logic of Common Belief and Common Knowledge.- 2 A Complete Epistemic Logic for Multiple Agents.- 3 Axiomatic Indefinability of Common Knowledge in Finitary Logics.- 4 Eliminating Redundancies in Partition Spaces.- II The Logical Omniscience Problem.- 5 From Logical Omniscience to Partial Logical Competence.- 6 Knowledge and Belief Representation in a Partial Model.- 7 Awareness and Partitional Informational Structures.- 8 Representing the Knowledge of Turing Machines.- III Applications to Game Theory and Decision Theory.- 9 Logics for Nonomniscient Agents: An Axiomatic Approach.- 10 Alternative Definitions of Knowledge.- 11 Synchronic Information, Knowledge and Common Knowledge in Extensive Games.- 12 Analyzing Games by Sequences of Metatheories.- 13 Rationally Justifiable Play and the Theory of Noncooperative Games.- 14 The Epistemic Structure of a Theory of a Game.- 15 On the Evaluation of Solution Concepts.