One way of looking at it is modulating the outcome distribution of the "game". Yeah, games are a great way to test out economic ideas in "competition" with one another, but the outcome distribution maybe should be more shallowly sloped, not a winner-takes-all game.
I do think one important aspect is that the state still does make some planning decisions, especially on infrastructure. The decisions may be implemented with market mechanisms, by putting out a tender for the operating contract. But the state decides which metro lines to build, how much service there should be, what fares should be, etc. The state also centrally manages both the healthcare and university systems as a "single payer", though some degree of internal markets exist within those sectors (especially in the universities).
One axis is the capitalism-socialism axis, where you have a basic argument about redistribution and the role of wealth.
The other, and for the well-being of the economy much more important axis, is the market economy/planned economy axis. If you harness the power of evolution for you economy, there will be overall success. On the other hand, if all decisions are made in Moscow, things will suck.
Some of the more liveable places on the planet unite market economy and some degree of socialism. The nordic countries come to mind, also France, Germany.
Furthermore, while I do see the value in your proposition, I'd say that the pursuit of science alone has, going by historical precedent, proven to be insufficient. There are just too many examples of people ignoring the catastrophic circumstances that others are put through because of their scientific pursuits. Werner von Braun was justifying his work with the prospect of going to other planets. He probably wasn't happy that the V2 was aimed at London, or that he was utilizing an army of slave workers, but he sure as hell didn't let that stop him.