Agreeing to disagree with generalised decision functions
Bassel Tarbush
MPRA Paper from University Library of Munich, Germany
Abstract:
We develop a framework that allows us to emulate standard results from the “agreeing to disagree" literature with generalised decision functions (e.g. Bacharach (1985)) in a manner the avoids known incoherences pointed out by Moses and Nachum (1990). We analyse the implications of the Sure-Thing Principle, a central assumption. The upshot is that the way in which states are described matters, and that the results fail if decisions are allowed to depend on interactive information. Furthermore, using very weak additional assumptions, we extend all previous results to models with a non-partitional information structure in a coherent manner. Finally, we provide agreement theorems in which the decision functions are not required to satisfy the Sure-Thing Principle.
Keywords: Agreeing to disagree; knowledge; common knowledge; belief; information; epistemic logic (search for similar items in EconPapers)
JEL-codes: D80 D83 D89 (search for similar items in EconPapers)
Date: 2011-02-23
New Economics Papers: this item is included in nep-upt
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Citations: View citations in EconPapers (2)
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https://mpra.ub.uni-muenchen.de/29066/3/MPRA_paper_29066.pdf original version (application/pdf)
https://mpra.ub.uni-muenchen.de/30647/2/MPRA_paper_30647.pdf revised version (application/pdf)
https://mpra.ub.uni-muenchen.de/32076/2/MPRA_paper_32076.pdf revised version (application/pdf)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:29066
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