Modeling Unawareness in Arbitrary State Spaces

Li Jing ()

PIER Working Paper Archive from Penn Institute for Economic Research, Department of Economics, University of Pennsylvania

Abstract: I develop a set-theoretic model of unawareness without making any structural assumptions on the underlying state space. Unawareness is characterized as a measurability constraint that results in players' reasoning about a “coarse" subjective algebra of events. The model is shown to be essentially equivalent to the product model in Li (2007), indicating that such a measurability constraint can be captured by restrictions on the dimensions of the state space without loss of generality. I use a variant of the partition model to examine the case of partial unawareness, where the player is aware of a question but unaware of some possible answers to that question, and characterize the player's knowledge hierarchies from his subjective perspective.

Keywords: unawareness; partial unawareness; information; information partition; the state space (search for similar items in EconPapers)
JEL-codes: C70 C72 D80 D82 D83 (search for similar items in EconPapers)
Pages: 31 pages
Date: 2008-01-02
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:pen:papers:08-021

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