NEW : Runner-up , Transportation Minister Shaul Mofaz , resigning from Knesset . Livni claims victory in vote for leadership of ruling Kadima party . Comment: Livni beat Mofaz by a narrow margin .
NEW : Runner-up , Transportation Minister Shaul Mofaz , resigning from Knesset . Livni claims victory in vote for leadership of ruling Kadima party . Win could make her Israel 's first female prime minister in 34 years . Livni beat Mofaz by a narrow margin .