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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A Complete Epistemic Logic for Multiple Agentsne hand models an idealized notion of knowledge (the epistemic agent is assumed to be fully introspective, for example, and 55 knowledge also suffers from the problem of logical omniscience—the agent knows all logical validities, and his knowledge is closed under logical consequence— see Wansing, 19

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Eliminating Redundancies in Partition Spaces Aumann (1976). In these models the uncertainty of agents is about a space of points, which are called states of the world. Each such state stands for a combination of physical, environmental parameters — the state of nature, and possible mutual uncertainties of the agents over these parameters. The

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Synchronic Information, Knowledge and Common Knowledge in Extensive Games is her turn to move, etc. It is not, however, a sufficiently rich language in the sense that there are meaningful and natural statements that one can make (about a given extensive game) whose truth cannot be decided without making the language richer. We shall give two examples. Consider first the

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The Epistemic Structure of a Theory of a Game It sets out to do three things: to provide an introduction to epistemic logic for decision theorists (Section 2);. to give a formulation in epistemic logic of the structure of a theory of a game (Sections 3 and 4); and to apply methods of epistemic logic to define some possible strategies for deali