Are we to the point in technology that we can simulate entire: economic, governmental, social, medical, etc systems with accuracy?

I am fascinated by video games that do this. I play Avorion and it has attempted to simulate economic systems in game. So you can profit from making things that are not in high supply. I am also fascinated by the idea of world simulation to weight pros and cons of governmental structures.

Where does one start when researching models that attempt this?

There's already "Life" that does this but it sucks most of the times

Hardware? Absolutely.
Software? Not yet.

I want to, though.
I absolutely love automata.

@Root what does that mean? hardware vs software?

The problem is that as soon as we can do it, the goalposts shift to the point where the model isn't accurate.

The stock market is perhaps the best example, as there's so much money to be made from a model that can accurately make predictions. The problem is, by virtue of its use it alters the dynamics of the system, people / other models adapt accordingly, and your model is no longer accurate.

@Demolishun The hardware is easily capable, but no one has figured out how to model it well yet. Hence the software hasn’t caught up.

Also, @AlmondSauce makes a great point.

From what I've seen so far, we indeed can simulate them (with the slight exception of stock markets which are usually dumbed down in games).
But as @AlmondSauce put it, it will always be delayed vis-à-vis the real world (unless it's one of those games that target specific periods).

You should play “democracy” game.
And try to rule country using various economic/social indicators.

We are at point that we can more or less predict trends if there’s not much happening around.
We still can’t predict people panic and doing crazy shit.
If we can do it we’re basically doomed.

Summing up - if there’s lots of things happening we can do shit.

It is possible to predict the future but we cannot. In order to do that you need to be able to see all matter at energy level at earth and expand that lightspeed away from how far in the future you want to see. Than you must calculate the reactions faster than they occur.
If you don't do this you have an approximation with a lot of holes.
The rise of cryptocurrency could have been far later, sooner or not happened at all depending on circumstances.
Another example is of course the current pandemic. You just can't predict it that way. Too many variables.

Not sure to be on point, but have you ever heard of the World3 dynamic model ?
Been used in 1972 to predict the future of our world in a hundred years against different scenarios.

And oooh boys, we're still pretty close onto this standard run (BAU) scenario

@hjk101 theoretically for what’s going on in general you can use some thermodynamics law that we don’t know yet and skip other stuff.

I think solving three body problem is a good start.