It could be that the decider of the league won't be between these 3 teams, what I mean is that they can't beat each other to decide who will win the league title (Liverpool can't win Manchester City and Arsenal can't defeat City). Liverpool played a draw against Man City and Arsenal can as well repeat the same thing and the 3 teams will have to look for elsewhere to get there 3 point.
Arsenal can be at the top till the end of the season only if they repeat what they did last season by slipping off the top, I don't see any threat coming the Gunners way this time around, Manchester City people are tipping to be the favorite to win the league doesn't have enough goals this season compare to last campaign which means this guys are struggling to meet up, as for Liverpool they will definitely drop point that might see them finishing 3rd if care is not taken.
Liverpool has a big chance to emerge as champions when Manchester City draws with Arsenal. Determining the title is still quite difficult to predict because the difference in points between the three clubs is still quite close. Liverpool can take advantage when Manchester City draws with Arsenal, but the chances of the match ending in a draw are still quite difficult, because the match will take place at Manchester City's home ground. Arsenal can top the standings if they beat Manchester City and vice versa, Manchester City can be in second place if they beat Arsenal.
In this scenario, Liverpool really benefits because they can take first place in the standings if the match ends in a draw. I am more confident that Liverpool and Manchester City will come out as champion candidates because both of them have a much bigger chance than Arsenal.
If it is related to the points obtained by each team, I think Arsenal still has a chance that is no less than Liverpool and Man City have but when it comes to mentality and how each team deals with pressure in every match, Arsenal might have a problem with that because it's been too long since they last won the Premier League and I think that is also the reason why they failed to get the Premier League Trophy last season. They have the ambition to win the EPL but this ambition has become a heavy burden for them. So in this season, if once again Arsenal still couldn't cope with the pressure, then they will most likely fail again.