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Unawareness of theorems

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 (2006), Heifetz et al. (2006a) 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 (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.
0966-4246
University of Southampton
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c

Galanis, Spyros (2007) Unawareness of theorems (Discussion Papers in Economics and Econometrics) Southampton, UK. University of Southampton

Record type: Monograph (Discussion Paper)

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 (2006), Heifetz et al. (2006a) 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 (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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Published date: 2007

Identifiers

Local EPrints ID: 51816
URI: http://eprints.soton.ac.uk/id/eprint/51816
ISSN: 0966-4246
PURE UUID: 80461d3c-2ab3-468a-bb66-112ae101ea23
ORCID for Spyros Galanis: ORCID iD orcid.org/0000-0003-4286-7449

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Date deposited: 06 Aug 2008
Last modified: 05 Sep 2024 01:41

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Author: Spyros Galanis ORCID iD

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