  The following paper is part of the authors' response to an invitation from
the Constitutional Affairs Committee (AFCO) of the European Parliament to
advise on mathematical methods for the allocation of Parliamentary seats
between the 27 Member States following the planned departure of the United
Kingdom in 2019. The authors were requested to propose a method that respects
the usual conditions of EU law, and with the additional property that no Member
State (other than the UK) receives fewer that its 2014 allocation. This paper
was delivered to the AFCO on 21 August 2017, for consideration by the AFCO at
its meeting in Strasbourg on 11 September 2017.
