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From posteriors to priors via cycles

Rodrigues-Neto, Jose

Description

We present new necessary and sufficient conditions for checking if a set of players' posteriors may come from a common prior. A simple diagrammatic device calculates the join and meet of players' knowledge partitions. Each cycle in the diagram has a corresponding cycle equation. Posteriors are consistent with a common prior if and only if all cycle equations are satisfied. We prove that in games of two players, where the join partition has only singletons, a common prior exists if each player's...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/27085
Source: Journal of Economic Theory
DOI: 10.1016/j.jet.2008.10.003

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