In a grid-down situation where you need to bug out, there's a lot to be said for staving off boredom and for boosting morale. It's interesting to watch the show Alone and to see just how many contestants quit not because they've been beaten by the elements (though there are plenty of those as well) but because they've been beaten by their own minds.

Boredom has won out over them, and it leads them to make stupid decisions. There's much to be said for morale. Militaries throughout history have realized this. When morale drops, people do stupid things. They forget what is important. You don't want your family to end up doing the same thing. To stave off the boredom, I think there are a number of things one can do, but perhaps the easiest is to include some kind of small game in your bug-out bag.