The impact of different AGN definitions on their host dark matter halo distributions. Left: HODs of mock AGN in our Model 2 simulation framework selected by an Eddington ratio threshold (orange) and a luminosity threshold (blue). Different slopes are visible above 10¹³ for the two different AGN selection methods. The HOD of the full subhalo/galaxy population is shown by the gray data points for comparison which is identical in shape to the Eddington-limited AGN sample. Right: fraction of mock galaxies classified as AGN by the same definitions as in the left plot. The fraction remains constant (unbiased) with halo mass for Eddington-limited AGN (by definition); however, the luminosity-limited sample has a strongly biased halo occupation distribution due to their selection.