The vote was close, but what swayed things was Project Fear, without that the Leave vote would have been higher. From what I have seen of the leave side 90% of them are entrenched in their view. Of the remain voters a significant percentage of them (perhaps as much as 30%) would have voted leave had there been no project fear .. they are the ones along with say the 10% of the leavers who might be influenced to change their views. That adds up to perhaps 6 million votes that can be sway and they are who matter in politics .. politics is never about the majority. Should we remain in the EU, the remain voters are highlt likely to object to being punished hence the EU are going to have little option but to offer us a better deal than we have now.