Twenty-four per cent think he has done well, while 28 per cent think he has done badly. The remaining 48 per cent decline to take sides. Compared with New York's mayor, Rudolph Giuliani, Mr Livingstone has few powers to drive through big changes. So should the Government cede more authority to London's Mayor? We tested this in four areas, asking if the Mayor should have more power to: Decide future control of London's Underground. Yes: 66 per cent; no: 31 per cent; Decide how much tax Londoners pay for public services in the capital. Yes: 36 per cent; no: 60 per cent; Run London's police force. Yes: 34 per cent; no: 58 per cent; Run London's health service. Yes: 29 per cent; no: 66 per cent.