That's not correct. First of all, you can't solve a neoclassical economy using LP, because equilibrium constraints can only be represented as complementarity c

That's not correct. First of all, you can't solve a neoclassical economy using LP, because equilibrium constraints can only be represented as complementarity constraints. You would have to give up on some aspects, like dynamic prices. The linear complementarity problem in itself is NP hard. So you're screwed from the get go, because your problems are now LPCC problems. Good luck finding an LPCC solver. I can confirm that an open source QPCC solver exists though, which should be even slower. Next is the fact that if you wanted to build a neoclassical economy model, only global optimization will do. This means that you need to simulate every time step in one large LPCC model, instead of using a finite horizon. Due to the perfect information assumption, you must know about the state of every person on the planet. You're going to need millions of variables due to simple combinatorial explosion. It's kind of startling how these assumptions, which are supposed to make analytical solutions tractable by the way, also make non-analytical solutions literal hell. And before you say that prices can be determined iteratively, as I mentioned, you would run into the problem that future prices are unknown to you, so how are you going to plug them into the second time step? The very thing you want to calculate depends on it's future value. Economics is a weird science, where experienced reality works much better than the theory.