Selection of multiplicity upper bounds Mt, Mc in setting IV. For simplicity, we set Mt = Mc. From the left to the right, we plot in solid curves the number of matched pairs |Π|, the average proximity score distance of the resulting match Dave(π), the mean squared difference , and the relative MSE (9) (all aggregated over 200 trials). The dashed lines correspond to the selected multiplicity upper bounds Mt = Mc = 5.