Sarah Smith of the University of Bristol and Kimberley Scharf of Warwick University recently carried out a series of experiments for the Treasury to gauge how sensitive higher-rate taxpayers are to changes in tax incentives.

ECONOMIST: Charity and taxation

At Strictly's peak, 10.9m viewers tuned in on BBC 1 as Westlife star Nicky Byrne was voted off, leaving Denise Van Outen, Olympian Louis Smith, actresses Dani Harmer and Lisa Riley and Girls Aloud singer Kimberley Walsh to dance in the semi-final.

BBC: James Arthur wins X Factor final