An operational method is presented for deriving a linear ranking of alternatives from repeated paired comparisons of the alternatives. Intransitivities in the observed preferences are cleared away by the introduction of decision errors of varying importance. An observed preference between two alternatives that causes an intransitivity in the course of the procedure will be reversed if it is of lesser importance. The method is applicable in case one wants to take account of intensities of preference and assume these to be monotone with the probability that an observed choice coincides with a fixed underlying true choice.

intransitivities, linear rankings, paired comparisons,
Mathematical Social Sciences
Erasmus School of Economics

Maas, A, Bezembinder, Th.G.G, & Wakker, P.P. (1995). On Solving Intransitivities in Repeated Pairwise Choices. Mathematical Social Sciences, 29(2), 83–101. doi:10.1016/0165-4896(94)00769-5