Titlebook: Epistemic Logic and the Theory of Games and Decisions; Michael Bacharach (Professor of Economics and Dire Book 1997 Kluwer Academic Publis

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0924-6126 Overview: 978-1-4612-8436-9978-1-4613-1139-3Series ISSN 0924-6126 Series E-ISSN 2194-3044

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Axiomatic Indefinability of Common Knowledge in Finitary LogicsIn game theory and economics, we often meet the concept of common knowledge. In literature, there are quite a few approaches to common knowledge. In this paper, we discuss the approach in the terms of epistemic logics, and consider several questions on the definability of common knowledge in such logics ...

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From Logical Omniscience to Partial Logical CompetenceEpistemic or doxastic logic is often constructed on classical propositional logic to which a knowledge or belief operator . is added with the intended interpretation “I know that” or “I believe that”.

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Representing the Knowledge of Turing MachinesIn this paper, we shall follow the implications of the following pair of principles.

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Extension Theorems,sets E. (.=0, 1, 2,…) may be empty from some . onward. The sequence of restrictions R. = R | E. will be called a . for R. We shall identify R itself with the restrictive sequence defined by E. = E(.=0,1,2,…).