Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jmateco.2007.06.007
Title: Similarity of differential information with subjective prior beliefs
Authors: Khan, M.A.
Zhang, Z.
Sun, Y. 
Tourky, R.
Keywords: Complete separable metric space
Differential information
Subjective prior beliefs
Topologies on information
Issue Date: 2008
Source: Khan, M.A., Zhang, Z., Sun, Y., Tourky, R. (2008). Similarity of differential information with subjective prior beliefs. Journal of Mathematical Economics 44 (9-10) : 1024-1039. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmateco.2007.06.007
Abstract: We present a complete, separable and metrizable topology on the product space of information and (subjective) beliefs. Such a topology formalizes similarity of differential information without the assumption of a common prior, but under the assumption that objectively impossible events are considered impossible by subjective beliefs. As an application to the theory of the consumer, we provide results on the continuity of expected utility and demand functions. We also provide continuity results for the value of information and the insurance premium as defined in the literature.©2008 Elsevier B.V. All rights reserved.
Source Title: Journal of Mathematical Economics
URI: http://scholarbank.nus.edu.sg/handle/10635/20028
ISSN: 03044068
DOI: 10.1016/j.jmateco.2007.06.007
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