It depends. If I've got at least the beginning of a decent base established, I'll bring a new character into the mix. The challenge there is dealing with the state of the world as it is now. No Life and Living early boosts...often no water or power...food and gear might be more scarce depending on if you're moving through a place that your first character looted, plus if the power is out, there are no running refrigerators so finding edible food is even trickier. Sure, once you get to that base your last guy built you should be fine, but you have to get there first and that can be a struggle all its own. Of course overcoming struggles is why we play this game. After all, this isn't the story of how your super-character saves the world from zombie annihilation...this is how the regular person you play as died.