Independence for sets of full conditional probabilities, sets of lexicographic probabilities, and sets of desirable gambles

© 2013 Proceedings of the 8th International Symposium on Imprecise Probability. In this paper we examine concepts of independence for sets of full conditional probabilities; that is, for sets of set-functions where conditional probability is the primitive concept, and where conditioning can be considered on events of probability zero. We also discuss the related issue of independence for (sets of) lexicographic probabilities and for sets of desirable gambles.