What is the problem--it can't be my mouse?

I've gone through two computer mouses recently that were just your basic, cheap ones. I thought they were acting up because they were cheap. But then I got a new, Logitech wireless mouse, worth over $50, and it's doing worse than the cheap ones did! It won't move right (the cursor), and it's very, very frustrating, as it's hard to get anything done, & it's always doing things I don't want because I can't get it to point to the right place. I'm thinking this has to be some kind of problem with the computer itself, as I don't see why this new, much better quality mouse would not work right this soon after I bought it. Does anyone have a clue what the problem might be? I've adjusted my settings for the mouse several times, and it does no good!