Pep Guardiola has ended a season without a trophy for the first time in his decorated managerial career, despite his much-heralded arrival at City.
“I think we’ve got a manager who has come in with a very specific vision of how he wants the game to be played,” said Kompany.
“We have a team that will try everything to implement that.
“On certain areas we’ve been doing extremely well and no result or ranking will ever be able to translate that properly.
“We’ve dominated games, been organised, tried to play in a certain way that I always think is the beginning of something better, something special.
“But obviously we’ve lacked in key moments and everyone has to take responsibility for that.
“As long as we recognise that and try to improve on it, then we’re still set up for something good. There’s a lot still to come beyond this year.”
City go to Watford on Sunday, knowing a point will secure them a top-four place, while a win will seal third spot and see them avoid a potentially tricky Champions League qualifier.
“It’s really important for us to achieve a Champions League place this year,” said Kompany.
“It’s something I believe in myself – for a team to have an idea of how to play, what you’re saying is you want all players involved in defending and attacking in every part of the game.
“That’s what teams should be doing and what we’re trying to do. It’s a good starting point, but in key moments we have to improve.
“It does say a lot about the Premier League that two top teams will miss out on the top four. But it’s exciting. Usually you find out a lot about the teams and the players in those kind of moments.
“We’d have preferred to be tighter to first place perhaps, but I’m sure eventually that will be the case. In this instance we’re fighting for a Champions League place and it’s down to details.”