Epistemic Logic and the Theory of Games and Decisions

ISBN: 978-0-7923-4804-7 (Print) 978-1-4613-1139-3 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxxiii

  2. Iterated Knowledge and Common Knowledge

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-34

      On the Logic of Common Belief and Common Knowledge

    3. No Access

      Book Chapter

      Pages 35-68

      A Complete Epistemic Logic for Multiple Agents

    4. No Access

      Book Chapter

      Pages 69-93

      Axiomatic Indefinability of Common Knowledge in Finitary Logics

    5. No Access

      Book Chapter

      Pages 95-103

      Eliminating Redundancies in Partition Spaces

  3. The Logical Omniscience Problem

    1. Front Matter

      Pages 105-105

    2. No Access

      Book Chapter

      Pages 107-128

      From Logical Omniscience to Partial Logical Competence

    3. No Access

      Book Chapter

      Pages 129-150

      Knowledge and Belief Representation in a Partial Model

    4. No Access

      Book Chapter

      Pages 151-168

      Awareness and Partitional Informational Structures

    5. No Access

      Book Chapter

      Pages 169-190

      Representing the Knowledge of Turing Machines

  4. Applications to Game Theory and Decision Theory

    1. Front Matter

      Pages 191-191

    2. No Access

      Book Chapter

      Pages 193-216

      Logics for Nonomniscient Agents: An Axiomatic Approach

    3. No Access

      Book Chapter

      Pages 217-233

      Alternative Definitions of Knowledge

    4. No Access

      Book Chapter

      Pages 235-263

      Synchronic Information, Knowledge and Common Knowledge in Extensive Games

    5. No Access

      Book Chapter

      Pages 265-292

      Analyzing Games by Sequences of Metatheories

    6. No Access

      Book Chapter

      Pages 293-302

      Rationally Justifiable Play and the Theory of Noncooperative Games

    7. No Access

      Book Chapter

      Pages 303-344

      The Epistemic Structure of a Theory of a Game

    8. No Access

      Book Chapter

      Pages 345-364

      On the Evaluation of Solution Concepts

  5. Back Matter

    Pages 365-366