| Modica, S. and A. Rustichini (1999). Unawareness and partitional information structures. Games and Economic Behavior 27(2), 265--298. |
....Modica and Rustichini [1994] provided a logic for reasoning about knowledge where agents may be unaware of certain propositions. However, their original approach had the unpleasant property that nontrivial unawareness was incompatible with partitional information structures. More recently, Modica and Rustichini [1999] have provided an approach that allows for nontrivial unawareness in partitional information structures. Here it is shown that their approach can be viewed as a special case of a general approach to unawareness considered by Fagin and Halpern [1988] 1 Introduction The standard approach to ....
....satisfy the following conditions: ffl S, as before, is a set of states. 4 MR use lower case k and a for knowledge and unawareness. I am using upper case for consistency with the notation of FH and explicit knowledge (X) rather than implicit knowledge (K) since the notion of knowledge in [Modica and Rustichini 1999] is closer to FH s explicit knowledge. MR also have an operator 3, but since 3 is defined as an abbreviation for :X: A , I ignore 3 here, with no loss of generality. 5 ffl S 0 is also a set of states; moreover S 0 = Psi Phi S 0 Psi , where the sets S 0 Psi are disjoint. ....
Modica, S. and A. Rustichini (1999). Unawareness and partitional information structures. Games and Economic Behavior 27 (2), 265--298.
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Modica, S. and A. Rustichini (1999). Unawareness and partitional information structures. Games and Economic Behavior 27(2), 265--298.
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Modica, Salvatore and Aldo Rustichini (1999). Unawareness and partitional information structures, Games and Economic Behavior 27, 265-298.
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