Draw offers are useful for psychological reasons, provided of course that you don't particularly mind getting a draw as a result of your offer now and then.

Let's say you have a more or less equal position, where both players have to play pretty cautiously, neither can really attack at the moment. Then you offer a draw, and your opponent declines. Now he will a) feel morally obligated to play for the win, and b) believe you are only playing for a draw! This leads to excessive risk taking by your opponent.

Another way to use them is to be just slightly obnoxious, when you know he isn't going to accept. Let's say you know he's traveled two hours to get here, he outrates you and you offer a draw after 8 moves. Irritated people have trouble staying objective and he's more likely to take excessive risks, again. Although I don't actually do this as I think it's over the line.

Another thing I do is when I'm walking around while my opponent is thinking, and he is really using too much time for this move and seems unable to make up his mind, then I will continue walking around. The moment you sit down is often the moment they take a discussion and make a move, I want to make them waste as much time as possible in those situations.

Of course, when I'm walking around, notice I've actually made a blunder but he may not have seen the combination yet, then I will sit down immediately hoping he'll promptly move... If he doesn't, just get up again.

Draw offers are useful for psychological reasons, provided of course that you don't particularly mind getting a draw as a result of your offer now and then.

Let's say you have a more or less equal position, where both players have to play pretty cautiously, neither can really attack at the moment. Then you offer a draw, and your opponent declines. Now he will a) feel morally obligated to play for the win, and b) believe you are only playing for a draw! This leads to excessive risk taking by your opponent.

Another way to use them is to be just slightly obnoxious, when you know he isn't going to accept. Let's say you know he's traveled two hours to get here, he outrates you and you offer a draw after 8 moves. Irritated people have trouble staying objective and he's more likely to take excessive risks, again. Although I don't actually do this as I think it's over the line.

Another thing I do is when I'm walking around while my opponent is thinking, and he is really using too much time for this move and seems unable to make up his mind, then I will continue walking around. The moment you sit down is often the moment they take a decision and make a move, I want to make them waste as much time as possible in those situations.

Of course, when I'm walking around, notice I've actually made a blunder but he may not have seen the combination yet, then I will sit down immediately hoping he'll promptly move... If he doesn't, just get up again.