The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems

P. Guarino*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingAcademicpeer-review

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.
Original languageEnglish
Title of host publicationProceedings Sixteenth Conference on Theoretical Aspects of Rationality and Knowledge (TARK)
Subtitle of host publicationLiverpool, UK, 24-26 July 2017
EditorsJérome Lang
Pages285-305
Number of pages21
Edition251
DOIs
Publication statusPublished - 2017

Publication series

SeriesElectronic Proceedings in Theoretical Computer Science
ISSN2075-2180

Keywords

  • INTERACTIVE EPISTEMOLOGY
  • BELIEFS
  • GAMES
  • KNOWLEDGE
  • SPACES
  • LOGIC

Cite this