I have applied for PhD student positions at different graduate schools. During most interviews I was asked whether I have applied to other programs, which I affirmed. One professor also asked me to inform him if I receive offers from other universities. It seems like a sensible request to me and I confirmed that I would do so. However I can't help but wonder: Why did he ask me to disclose other offers?
Will it make me seem sought after and strong, if I receive multiple offers from other universities? Or will the professor look for applicants that have not found a place elsewhere and disregard me, because an applicant who has received other offers would be more likely to decline an offer?