Welsh local authorities are under growing pressure to save money, but they still have greater freedom to raise council tax than in England.
One London borough has gone further, cutting tax by 17 percent since 2006.
Owain Phillips reports.
Political Editor Adrian Masters was joined in the studio by assembly members Bethan Jenkins, Mick Antoniw and Suzy Davies.
Adrian Masters and Andrea Byrne present Monday's special edition from Edinburgh and Cardiff.
Looking forward to Scotland's historic independence referendum with a special Sharp End from Edinburgh and Cardiff