Selection criteria for redMaPPer counterparts. Objects are plotted following the same colour scheme as in the previous figure, i.e., first-, second- and third-ranked matches represented by red, blue and green symbols, respectively. The bands delineate the acceptable region defined by the angular criterion, and circled points indicate objects that also satisfy the richness cut (Criterion 1). Upper panel: single matches within a 10 arcmin radius. Lower panel: double matches within a 10 arcmin radius. Note that in both panels, only first-ranked matches appear as good counterparts by satisfying both criteria.