NDLI: Countable spaces and common priors

Content Provider	Springer Nature Link
Author	Hellman, Ziv
Copyright Year	2013
Abstract	We show that the no betting characterisation of the existence of common priors over finite type spaces extends only partially to improper priors in the countably infinite state space context: the existence of a common prior implies the absence of a bounded agreeable bet, and the absence of a common improper prior implies the existence of a bounded agreeable bet. However, a type space that lacks a common prior but has a common improper prior may or may not have a bounded agreeable bet. As a side-benefit of the proofs here, we also obtain a constructive proof of the no betting characterisation in finite spaces.
Starting Page	193
Ending Page	213
Page Count	21
File Format	PDF
ISSN	00207276
Journal	International Journal of Game Theory
Volume Number	43
Issue Number	1
e-ISSN	14321270
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-08-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Common priors Improper priors Agreeing to disagree No betting and no trade Knowledge and beliefs Economic Theory Game Theory, Economics, Social and Behav. Sciences Operations Research/Decision Theory Game Theory/Mathematical Methods
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Social Sciences Economics and Econometrics Statistics, Probability and Uncertainty

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Countable spaces and common priors