Let's say this is supposed to be a economic weirdtopia - or something like that.
Let's suppose there is more or less constant connectivity to internet equivalent so that you can 'see' whatever other people are broadcasting as information. Twitters and facebooks of the new era are widely adopted. Essentially this will also make possible to have near perfect sousveillance.
This is world where people find meaning to their lives through stories - endless damsels in distress and knights in shining armor, wise wizards, devious politicians and whatever. People learn to change their roles in search of a meaning - perhaps broadcasting new information on their social networks. Helpful CEO of yesterday might be todays villainous power broker as boredom was creeping to their local social network and something had to be done.
One can use anything that creates a more meaningful story out of the situation. People constantly pay attention to other people to see what kind of stories they living out while trying to experience stories themselves. When someone helps you to find a more meaningful shape to the situation by acting out some role that was apparently missing you reward them with your attention and cooperation.
This would create a world where you can fairly expect that world is pleasantly suprising and complex. Everyone could expect to live out pleasant fantasies and to participate stories of other people. They would create and carve meaning from their social network.
The art of combining several stories would be perhaps most highly appreciated skill - it would mean people can expect that when spending more time around you they can find out new kinds of experiences - surprises of most pleasant kind. Letting those people to use whatever resources they need would be good idea - after all they have created interesting situations previously from whatever has been at hand.
Problem with this skill of combinatorial storytelling is of course that you have to understand what kind of stories other people are experiencing - keep tabs on people - and quickly see how those stories might be combined with stories of other people.
You could still have recurring characters in story of your life as before - and more notably perhaps there would be more chances for having your personal villains and antagonists to whom you appear as a antagonist - match made in story world. Finally killing anyone would hardly make any sense - why kill someone interesting and why kill someone uninteresting? It is so much better just leave them hanging off the cliff just to have them return later back to you with a vengeance.
Keeping tabs on lives of other heroes and villains would be interesting too - most highly talented people living out most extravagant lives would be appreciated as people setting up new standards to aspire to. Not because their trappings are better, but because they have even more fun stories to live through. They might have new and better stories that you could perhaps adapt to your own life.
Utopia and Dystopia have something in common: they both confirm the moral sensibilities you started with. Whether the world is a libertarian utopia of the non-initiation of violence and everyone free to start their own business, or a hellish dystopia of government regulation and intrusion—you might like to find yourself in the first, and hate to find yourself in the second; but either way you nod and say, "Guess I was right all along."
So as an exercise in creativity, try writing them down side by side: Utopia, Dystopia, and Weirdtopia. The zig, the zag and the zog.
I'll start off with a worked example for public understanding of science:
Disclaimer 1: Not every sensibility we have is necessarily wrong. Originality is a goal of literature, not science; sometimes it's better to be right than to be new. But there are also such things as cached thoughts. At least in my own case, it turned out that trying to invent a world that went outside my pre-existing sensibilities, did me a world of good.
Disclaimer 2: This method is not universal: Not all interesting ideas fit this mold, and not all ideas that fit this mold are good ones. Still, it seems like an interesting technique.
If you're trying to write science fiction (where originality is a legitimate goal), then you can write down anything nonobvious for Weirdtopia, and you're done.
If you're trying to do Fun Theory, you have to come up with a Weirdtopia that's at least arguably-better than Utopia. This is harder but also directs you to more interesting regions of the answer space.
If you can make all your answers coherent with each other, you'll have quite a story setting on your hands. (Hope you know how to handle characterization, dialogue, description, conflict, and all that other stuff.)
Here's some partially completed challenges, where I wrote down a Utopia and a Dystopia (according to the moral sensibilities I started with before I did this exercise), but inventing a (better) Weirdtopia is left to the reader.
Economic...
Sexual...
Governmental...
Technological...
Cognitive...