INTPs, in the zombie apocalypse, are likely going to be good with strategizing about ways to accomplish tasks as they arise. Their quick thinking will probably prove helpful in getting themselves or groups out of complex situations. Their logical creativity and competent minds allow INTPs to be good in a pinch, such as finding ways to use unlikely objects to kill zombies. They will also probably be able to assist their group in detecting flaws in plans and ideas, making the plans and processes better in the end.
In addition to creativity in situations, some INTPs will want to do zombie research, which would certainly be a growing field in the zombie apocalypse! If they are scientifically minded and have a place still capable of scientific study, they may try to figure out a way to cure zombieism, or they may at least try to find ways to save the lives of those who still have lives, through science.
In thinking about the characters on The Walking Dead, the first character that comes to mind as meeting the description of an INTP is Glenn. The second character who comes to mind is Milton. What do you think?
Want to read descriptions of INTPs in pre-apocalyptic, or normal, conditions? Visit The 16 Types – INTP page.