GO:0060520:   activation of prostate induction by androgen receptor signaling pathway
Any series of molecular signals generated as a consequence of an androgen binding to its receptor in the urogenital sinus mesenchyme that initiates prostate induction. Prostate induction is the close range interaction of the urogenital sinus mesenchyme and the urogenital sinus epithelium that causes the cells of the urogenital sinus epithelium to change their fates and specify the development of the prostate gland.