@booklet {hellman-csacp2012,
	title = {Countable Spaces and Common Priors},
	howpublished = {Discussion Papers},
	year = {2012},
	month = {4},
	publisher = {Forthcoming in IJGT},
	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. The iterated expectations characterisation of the existence of common priors extends almost as is, as a sufficient and necessary condition, from finite spaces to countable spaces, but fails to serve as a characterisation of common improper priors. As a side-benefit of the proofs here, we also obtain a constructive proof of the no betting characterisation in finite spaces.},
	url = {/files/dp604.pdf},
	author = {Ziv Hellman}
}
