I found a Channel 4 piece from November last year, discussing 3 papers, roughly in the order of the quantity of evidence (which however might be inversely correlated with the certainty that they were an organized effort--a fair point raised in a comment below):

This week, further research into Twitter bots and the Brexit vote was published by the Oxford Internet Institute. It looked at 22.6 million tweets and cross-referred them with 2,752 accounts that the US Senate has identified as creations of the Russian Internet Research Agency.

Researcher Yin Yin Lu told Sky News that she had found 416 tweets from the Russian accounts from March to July 2016 (i.e. the months preceding the EU referendum).

She was careful to point out that “the number of these tweets is important to highlight. So there’s about 400 tweets here out of 22.6 million. That is a very infinitesimal fraction. So the word ‘interference’ is perhaps a bit exaggerated”.

Although she did say that the tweets did appear to be coordinated – with accounts apparently retweeting and sharing each other’s content. She said “there’s some kind of network happening here”.

A second report – this time from the University of Edinburgh – found a higher number of tweets about Brexit from the Russian Internet Research Agency. The Guardian reports that researchers identified 419 accounts operating from the Agency that were attempting to influence UK politics. The accounts were on the list of 2,752 accounts suspended by Twitter in the US.

Professor Laura Cram, who led the research, told the Guardian that those 419 accounts tweeted about Brexit at total of 3,468 times – mostly after the referendum had taken place.

Separately, an upcoming paper from researchers at the University of California, Berkeley, and Swansea University is set to reveal an even wider network of pro-Brexit Russian bots.

The research – which has been seen by the Times newspaper – tracked over 150,000 Russian accounts that used the hashtag “Brexit”, most of which were advocating Britain’s departure from the EU.

One account, “Svetal1972”, posted 92 tweets between 20 and 24 June, including one that called for Britain to “make June the 23rd our Independence Day”.

So there’s some evidence of Russian involvement in spreading pro-Leave sentiment online – although nothing as yet that suggests interference on the same scale as is alleged in the US.

The article then goes on to dissect what might have been the Russia's reasons for trying to influence Brexit.

What I want to ask here: has there been more evidence of Russian involvement in Brexit since that article was published?

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    Question: if anonymous Russian Twitter accounts, which have not been proven to be connected to the Russian government, are supposed to constitute "Russian involvement" in Brexit, then why is Barack Obama explicitly telling the British people to vote "Remain" not American involvement in Brexit? – user5904 Aug 3 '18 at 17:43
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    @MathematicsStudent1122, because when Barack Obama openly says Remain, you will know that this is what Barack Obama wants, and you act accordingly. Nothing prevents you from voting Leave — simply because you dislike Obama. When anonymous "Sveta-1972" pretends to be a Brit who advocates Leave, she tricks you to believe that other Brits think so. And this constitutes for involvement. – bytebuster Aug 3 '18 at 17:47
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    @bytebuster (1) It seems you're defining "involvement" in a particular way to suit your agenda. It's unclear whether or not these "bots" explicitly mentioned their national background in their Twitter bios. (2) It's difficult to take people who use the feminine pronoun as the default seriously. – user5904 Aug 3 '18 at 19:04
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    @MathematicsStudent1122 It's hard to take seriously someone who dismisses someone simply because they used a female pronoun in an example. – Acccumulation Aug 3 '18 at 19:45
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    @bytebuster So when an anonymous American - e.g. "bill1234" - retweets Obama's statement, that's an American troll according to your definition. – Sjoerd Aug 5 '18 at 16:15

Interestingly, the authors of the 2nd paper, Cram et al., have a shorter follow-up paper published in June this year. They have not expanded the pool of accounts investigated, i.e. their new paper is still about the 2,752 accounts suspended by Twitter in the US (and for which there is an off-line archive). But Cram et al. have an interesting conclusion about what these particular accounts looked like:

These accounts are not created to look like grassroots brexit leavers or remainers but they look like conservative Americans or Germans. Our overall summary of this data is that these trolls used Brexit to promote an agenda in the US and Germany. There may be other accounts with Brexit grassroot sock-puppets but these were USA and German sock-puppet IRA controlled accounts which were occasionally used to tweet about Brexit, particularly on the day of the referendum.

IRA here refers to the [Russian] Internet Research Agency. And from the above it also looks like Germany needs to get more worried.

I'm also gonna post here my summary of the 3rd paper (final version of which was published in May 2018), because I found no good summary of it in any newspaper. Basically this long paper does one thing: estimates the influence that Twitter "bots" had on "human" accounts, using millions of Twitter messages as data. I put both humans and bots in quotes (as the authors do in some parts of their paper) because they use (previously published and reasonably well accepted) heuristics to obtain a classification. There's no attempt to figure out who's behind accounts beyond that. The climax of this paper is to compute a counterfactual effect, i.e. what would have happened if bots didn't post, and the to infer from this how much the actual vote was affected by bots (using a correlation between tweets and votes).

Panel A of Figure 14 plots times series of actual and counterfactual (“no bot”) daily volume for pro-“leave” human tweets in the Brexit sample. The difference between the lines is the bots’ contribution. The dynamics of the series suggest that bots had a considerable quantitative effect on the volume of human tweeting with the largest contribution around the vote date. Panel B of the figure documents a similar pattern for pro-“remain” human tweets. Importantly, the two surges generated by bots roughly offset each other: the share of pro-“leave” human tweets in all tweets is similar for actual tweeting volume and counterfactual tweeting volume (Panel C). Specifically, the actually observed share of pro-“leave” human tweets on the day before the vote day is 62.76 percent, while the counterfactual share is 60.69 percent. This is a small absolute difference but one should bear in mind that the Brexit outcome was decided by a small margin (the share of “leave” votes was at 51.9 percent). Our analysis in Section 2.5 indicates that a percentage point increase in the share of pro-“leave” tweets in total tweets is associated with a 0.85 percentage point increase in the share of actual pro-“leave” votes. Hence, the difference between actual and counterfactual traffic could translate into 1.76 percentage points of actual pro-“leave” vote share. Thus, while bots nearly offset each other, the difference could have been sufficiently large to influence the outcome given how close the actual vote was.

Panels D-F replicate the analysis for the 2016 U.S. Presidential Election sample. [...] the observed difference between actual and counterfactual pro-Trump tweet shares suggests that 3.23 percentage points of the actual vote could be rationalized with the influence of bots.

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So this is an aggregate analysis of bot effects, without trying to pinpoint to whom the bots belonged to, although "Svetal1972" (singled out in a newspaper, but not mentioned in the actual paper) does sound a bit Russian...

  • Am I correct in understanding that the IRA "trolls" are supposedly staffed by humans, not bots? Also, does this paper assume there are only bots on the pro-brexit side? – janh Aug 8 '18 at 18:46

A report compiled for the US Senate, titled "Putin’s asymmetric assault on democracy in Russia and Europe: implications for US national security", pinpoints the way in which UK campaign finance laws do not require disclosure of political donations if they are from “the beneficial owners of non-British companies that are incorporated in the EU and carry out business in the UK”.

The report adds that although officially the Russian government asserted its neutrality on Brexit, its English-language media outlets RT and Sputnik covered the referendum campaign extensively and offered "systematically one-sided coverage".

Research by Swansea University and UC Berkley concludes that while Russian efforts on Twitter may have had a marginal effect, given how close the vote was that could have been significant.

“Our results suggest that, given narrow margins of victories in each vote, bots’ effect was likely marginal but possibly large enough to affect the outcomes.”

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