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.

Keywords: context vectors; non-standard probabilities; paired comparisons; voting.