TRADING HAPPENS OUT OF EQUILIBRIUM. EQUILIBRIUM HAPPENS ANYWAY.

Marginal Revolution's Alex Tabarrok notes, "The Supply and Demand Model Predicts Behavior in Thousands of Experiments."  That's despite the foundational thinkers not being able to coherently model price convergence.

It is true that economic theory is less capable of explaining the process by which prices and quantities reach equilibrium levels. Adam Smith’s theory about how competitive equilibrium is reached (“as if by an invisible hand”) has been improved upon only modestly. The authors, however, are able to test several theories of market processes and find that zero-intelligence theories tend to do better, though not uniformly so, than theories requiring more strategic and forward thinking behavior by market participants. The double-oral auction is powerful because the market is intelligent even when the traders are not.

That doesn't vitiate efforts to improve on Lyapounov basins and Walrasian auctioneers, although perhaps those ought be for intellectual curiosity.