'Behalf' in the Bible

He exercised all the ruling authority of the first beast on his behalf, and made the earth and those who inhabit it worship the first beast, the one whose lethal wound had been healed.

and, by the signs he was permitted to perform on behalf of the beast, he deceived those who live on the earth. He told those who live on the earth to make an image to the beast who had been wounded by the sword, but still lived.

(Rejoice over her, O heaven, and you saints and apostles and prophets, for God has pronounced judgment against her on your behalf!)

Now the beast was seized, and along with him the false prophet who had performed the signs on his behalf -- signs by which he deceived those who had received the mark of the beast and those who worshiped his image. Both of them were thrown alive into the lake of fire burning with sulfur.