The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems
arXiv:1708.00378 · doi:10.4204/EPTCS.251.20
Abstract
We construct the universal type structure for conditional probability systems without any topological assumption, namely a type structure that is terminal, belief-complete, and non-redundant. In particular, in order to obtain the belief-completeness in a constructive way, we extend the work of Meier [An Infinitary Probability Logic for Type Spaces. Israel Journal of Mathematics, 192, 1-58] by proving strong soundness and strong completeness of an infinitary conditional probability logic with truthful and non-epistemic conditioning events.
In Proceedings TARK 2017, arXiv:1707.08250