Unawareness of theorems
Unawareness of theorems
This paper provides a set-theoretic model of knowledge and unawareness. A new property called Awareness Leads to Knowledge shows that unawareness of theorems not only constrains an agent’s knowledge, but also can impair his reasoning about what other agents know. For example, in contrast to Li (J Econ Theory 144:977–993, 2009), Heifetz et al. (J Econ Theory 130:78–94, 25 2006) and the standard model of knowledge, it is possible that two agents disagree on whether another agent knows a particular event. The model follows Aumann (Ann Stat 4:1236–1239, 1976) in defining common knowledge and characterizing it in terms of a self-evident event, but departs in showing that no-trade theorems do not hold.
41-73
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c
14 January 2013
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c
Abstract
This paper provides a set-theoretic model of knowledge and unawareness. A new property called Awareness Leads to Knowledge shows that unawareness of theorems not only constrains an agent’s knowledge, but also can impair his reasoning about what other agents know. For example, in contrast to Li (J Econ Theory 144:977–993, 2009), Heifetz et al. (J Econ Theory 130:78–94, 25 2006) and the standard model of knowledge, it is possible that two agents disagree on whether another agent knows a particular event. The model follows Aumann (Ann Stat 4:1236–1239, 1976) in defining common knowledge and characterizing it in terms of a self-evident event, but departs in showing that no-trade theorems do not hold.
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new_unawareness.pdf
- Author's Original
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Published date: 14 January 2013
Additional Information:
This is a heavily revised version of the 2007 Discussion Papers in Economics and Econometrics paper.
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Economics
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Local EPrints ID: 203275
URI: http://eprints.soton.ac.uk/id/eprint/203275
ISSN: 0938-2259
PURE UUID: 45e50fff-c4b1-469d-81e2-94090e798712
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Date deposited: 16 Nov 2011 10:02
Last modified: 14 Mar 2024 04:27
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Author:
Spyros Galanis
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