It is obvious that the most hunted in knockout tournaments are those with small stacks. But, as I already notice that other members mentioned above, I also think that being in great demand for the reward on your head also increases the chances to multiply your stack. When you ask for an all-in with few chips it is very tempting for others to pay you with almost anything due to your reward and you can speculate the moment properly if the luck (besides the statistics) is with you.
So being put under the pressure of time, you have to act and think fast, you can't flaunt your regular style of play. Bluffing, slow play, floating or other sophisticated plays that are part of your arsenal are completely useless now, for the simple fact that you can't be creative at the table in such situations. Survival is all that interests you have right now, and the main short-term goal is doubling. So, don't waste your time trying to use your post-flop skills. The best way is to try to double with the all-in pre-flop when you still have a respectable number of chips in front of you. If you are not paid, all the better, you will take a few blinds without exposing yourself to a situation of all or nothing.
I think the image helps too in those moments. For example if you created the impression that you are a tight player, you can try to push all-in more frequently than in the case that you're style of play is loose. Even if everyone smells "blood" and you have a metaphorical "hunted" label on your forehead, as one tight player pushes all-in, the others will be more cautious. They know that you like the solid game and you don't risk it unnecessarily, so they will be tempted to credit you with a better hand than the one you have. Conversely, if you have played many hands before, creating the image of a loose player, you will be paid much more frequently by opponents.