On Market Economies: How Controllable Constructs Become Complex



Summary

Since Lėon Walras neoclassical economists hold an inalterable belief in a unique and stable equilibrium for the economic system which however remains to this day unobservable. Yet that belief is the corner stone of other theories such as the ‘Efficient Market Hypothesis’ as well as the philosophy of neo-liberalism, whose outcomes are also shown to be flawed by recent events. A modern market economy is obviously an input/output nonlinear controllable construct. However, this paper examines four such models of increasing complexity, including the affine nonlinear feedback H- control, to show that the ‘data requirement’ precludes all attempts at the empirical verification of the existence of a stable equilibrium. If equilibria of complex nonlinear deterministic systems are most likely unstable, multiple or deterministically chaotic depending on their parameter values and uncertainties, then society should impose limits on the state space and focus on endurable patterns thrown-off by such systems.


Keywords

equilibrium, nonlinearity, controllability, nonlinear feedback, H∞-control, complexity