Could Markets' Equilibrium Sets Be Fractal Attractors?

The assumption that markets are positive linear structures moving toward stable fixed-point equilibria is not supported by empirical investigations. This paper reformulates the purest and the simplest of all Walrasian models, i.e., a pure exchange economy, and shows that even such a simple market moves toward a compact time-invariant set of prices due to the constant destruction and creation of excess demands under the impulsion of self-interested agents with strong monotone preferences. Fractal attractors better explain continuous market fluctuations, 'Black swans', and the reason behind the flawed risk assessments of market risks of the financial engineers of Wall Street.