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AIMS. This work addresses the AGN IR-selection dependency on intrinsic sourceluminosity and obscuration, in order to identify and charaterise biases whichcould affect conclusions in studies. METHODS. We study IR-selected AGN in theChandra Deep Field South (CDFS) survey and in the Cosmological Survey (COSMOS).The AGN sample is divided into low and high X-ray luminosity classes, and intounobscured (type-1) and obscured (type-2) classes by means of X-ray and opticalspectroscopy data. Specifically in the X-rays regime, we adopt the intrinsicluminosity taking into account the estimated column density (N_H). We also takethe chance to highlight important differences resulting from adopting differentmethods to assess AGN obscuration. RESULTS. In agreement with previous studies,we also find that AGN IR-selection efficiency shows a decrease with decreasingsource AGN X-ray luminosity. For the intermediate-luminosity AGN population(43.3<~log(L_X[erg/s])<~44$), the efficiency also worsens with increasingobscuration. The same sample also shows an evolution with cosmic time of theobscured fraction at the highest X-ray luminosities, independently of adoptedtype-1/type-2 classification method. CONCLUSIONS. We confirm that AGNIR-selection is genuinely biased toward unobscured AGN, but only atintermediate luminosities. At the highest luminosities, where AGN IR-selectionis more efficient, there is no obscuration bias. We show that type-1 AGN areintrinsically more luminous than type-2 AGN only at z<~1.6, thus resulting inmore type-1 AGN being selected the shallower the IR survey is. [ABRIDGED:Conclusion on survey strategy. See manuscript.] Finally, when the James WebbSpace Telescope comes online, the broad-band filters 2.0um, 4.4um, 7.7um, and18um will be key to disentangle AGN from non-AGN dominated SEDs at depths wherespectroscopy becomes impractical.

The dependency of AGN infrared color-selection on source luminosity and obscuration: An observational perspective in CDFS and COSMOS