There was a video game writeup I started (and went nowhere with) inspired by "The Way" the idea was you'd have to keep moving your settlements forward to survive, with the world being destroyed behind you, and created in front of you. The issue that was supposed to give you was how to manage your resources with that in mind, you'd get dealt good and bad terrain as you went along, you might find fertile lands in one area, you'd have to manage storage, resources and production and a hungry population while dealing with a changing terrain, the difficulty of navigating it, and competing civilizations. There would also be a balance between using more permanent buildings, and less permanent tents and wagons, permanent ones would be better, but you'd have to abandon them.
I had a lot of issues with figuring out where I wanted it to go though, I thought about forcing it to be centered around a "King" or such where you could only have one center of your civilization, and then perhaps putting in a mechanism where you get rid of your, population when it gets too large by "splitting" it and sending off the split group to another stretch of the way like in king of dragon pass. then there's other issues, like do I want it to be pure sandbox, or perhaps make it give you increasingly inhospitable land over time? Perhaps a form of "conquer the world" with stress on aggressive civilizations warring with each other? But how would that work if I had the infinite world I'd thought about?
Not all that helpful to the topic really, but it's an interesting note.