Did you know that getting killed by PVP in the inner city is the same penalty as getting killed by zombies? SO if you want to get back to your outpost ASAP and you're critical with no med kits, and you want to get killed by other players in PVP, then that is just the same as getting killed by zombies, same penalty as PVP inner city.
But as for PVP in the arena, penalties are different, you will loose no money, exp, armor HP, and HP. But ammos used can't be replaced.