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The logic of Knightian games

Shiri Alon () and Aviad Heifetz ()
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Shiri Alon: Bar Ilan University
Aviad Heifetz: The Open University of Israel

Economic Theory Bulletin, 2014, vol. 2, issue 2, No 4, 182 pages

Abstract: Abstract We devise a sound and complete epistemic-logic axiomatization for Knightian type spaces—the generalization of Harsanyi type spaces employed in strategic games with asymmetric uncertainty/ambiguity. In a Knightian type space, each type’s epistemic attitude is represented by a set of probability measures. The axiomatization unravels how each such epistemic attitude embodies a (potentially) partial likelihood relation over formulas, and conversely, each partial likelihood relation over formulas is representable by a Knightian type.

Keywords: Knightian uncertainty; Type spaces; Epistemic logic; Ambiguity (search for similar items in EconPapers)
JEL-codes: D81 D82 D83 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s40505-014-0037-5

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