Common Priors and Separation of Convex Sets

Dov Samet
Additional contact information
Dov Samet: Faculty of Management Tel Aviv University

Game Theory and Information from EconWPA

Abstract: We observe that the set of all priors of an agent is the convex hull of his types. A prior common to all agents exists, if the sets of the agents' priors have a point in common. We give a necessary and sufficient condition for the non-emptiness of the intersection of several closed convex subsets of the simplex, which is an extension of the separation theorem. A necessary and sufficient condition for the existence of common prior is a special case of this.

Keywords: prior; common prior; types; separation theorem (search for similar items in EconPapers)
JEL-codes: L11 C81 F49 R38 (search for similar items in EconPapers)
Date: 1997-01-28
Note: Type of Document - postscript; prepared on Unix; pages: 2
View list of references

Downloads: (external link)
http://129.3.20.41/eps/game/papers/9701/9701002.ps.gz (application/postscript)
http://129.3.20.41/eps/game/papers/9701/9701002.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpga:9701002

Access Statistics for this paper

More papers in Game Theory and Information from EconWPA
Series data maintained by EconWPA ().