Allardyce came to the club with one primary aim, to steer us clear of relegation. Once he has achieved that, in order for him to see out his contract, both the owners and himself will know that he will have to start being more adventurous, playing more attacking football and going for wins against inferior sides.
However, if you listen to what he says on this video from 1 minute onward, he's now doing exactly what he described there and it's quite clearly working as we have now kept 5 clean sheets in 7 since he's been in charge, haven't lost under him yet, and have conceded the least amount of goals in the whole league.
To sum up what he says above: "It's pretty simple really, the only way Everton will get a win is by providing a clean sheet. And that is the only way forward at this moment in time, until January, when they can go out and try and find a goalscorer."
So to me it's quite clear that his number 1 aim, every game is to try and get a clean sheet/concede as few as possible and hope that the quality in the team can provide enough in attack to snatch games. and that is exactly what has happened.
He's been excellent since he's come in and is exactly what we needed at this moment in time. Quite clearly though, once we get clear of any relegation fears he is going to have to adapt his style and try and push us on. If he can't do that, he'll be thanked by the club for proving he was the right man in the short term, but not the man to take us on long term. Think everyone involved will take that.