Do we think Liverpool will win this season too? Arsenal is angry this time and they want to win this season to break yoke and always on the falling out from semi final or in the final to take second position but the way they are going in the season they might win the season. But Liverpool is also coming from behind. Last week Liverpool was on the 4th or 5th position in the EPL table but now I they are in 3rd position. The season is still on it early stage. Many things would change and the league progresses.
Tomorrow is Chelsea vs Fulham and that is a kind of difficult game to predict. Chelsea is on the winning side of the game if they strive higher.
As you said, it's just the beginning, and only the second week of matches. So, we can't say for sure whether Liverpool, Arsenal, and the other teams will win. It's still too early, and anyone can win the Premier League as long as they're consistent from start to finish.
And in the Chelsea vs. Fulham match, I think Chelsea is the favorite. Besides playing at home at Stamford Bridge, Chelsea has also won all previous meetings between the two teams, winning four and losing once against Fulham. However, Fulham will certainly be aiming for all three points in this match, having only managed one draw in their previous two matches, and Chelsea won't let that happen at Stamford Bridge.