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There are many different ways to count votes, with scientific papers written on the subject.
Maybe Brexit would benefit from a different voting method. There are many different ways to Remain or Leave.

On June 12th Maine conducted the first-ever statewide election using ranked-choice voting (RCV),
in which voters rank the entire field rather than just voting for a single candidate.

Many stock screeners use ranks. A review of the scientific literature on how ranks can be combined to determine the winner might be relevant.

Each year NatCen's British Social Attitudes survey asks around 3,000 people what it's like to live in Britain and what they think about how Britain is run.
Since 1983 they've been measuring and tracking changes in people's social, political and moral attitudes.

Do you think Britain should continue to be a member of the European Union or should it withdraw?

Table 1. Attitudes towards Britain’s continuing membership of the EU, 1983-2014
          1983  1984  1985  1986  1987  1989  1990  1991  1992  1997  2014
Continue 53 48 56 61 63 68 76 77 72 54 57
Withdraw 42 45 38 33 32 26 19 17 22 28 35

However, while this question gives us an indication of the degree to
which the public embraces the UK’s membership of the EU, it is a
rather crude measure of people’s attitudes towards the institution. It
takes little account of the stance taken by the current Prime Minister
in 2013, or indeed the Conservatives’ long stated position that we
should be ‘in Europe but not run by Europe’. Thus, since the early
1990s, British Social Attitudes has in most, though not in all years
adopted the following more subtle line of questioning:

Do you think Britain’s long-term policy should be:
to leave the European Union,
to stay in the EU and try to reduce the EU’s powers,
to leave things as they are,
to stay in the EU and try to increase the EU’s powers,
or, to work for the formation of a single European government?

Table 2. Attitudes towards Britain’s relationship with the EU, 2002-2014
                                     2002  2003  2004  2005  2006  2008  2012  2013  2014
Leave the EU 15 15 18 16 15 20 30 26 24
Stay in EU but reduce its powers 35 32 38 36 36 35 37 39 38
Leave things as are 23 27 23 24 27 24 16 19 18
Stay in EU and increase its powers 12 11 7 10 9 9 9 6 10
Work for single European government 7 6 5 4 4 3 2 3 4
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