title: Basis for binary comparisons and non-standard probabilities.
abstract: To analyse paired comparison outcomes, such as with non-standard probabilities, a basis is created for the space of all binary interactions, whether from probabilities, correlations, etc. In this manner, the source of all transitive and non-transitive behaviours (e.g. path dependencies) can be identified.
authors.affiliation: Institute for Mathematical Behavioral Sciences, University of California, Irvine, CA 92697-5100, USA dsaari@uci.edu.
authors.forename: Donald G
authors.initials: DG
authors.lastname: Saari
keywords: context vectors; non-standard probabilities; paired comparisons; voting