Threshold Behavior and Aggregate Fluctuation

This paper concerns a propagation mechanism in an economy where many individuals follow a threshold rule and interact with a positive feedback. We derive an asymptotic distribution of the propagation size when the number of the agents tends to infinity. The propagation distribution exhibits a slower convergence to a deterministic value than it would if the agents followed a smooth adjustment policy. This gives rise to significant aggregate fluctuations in a finite lumpy-adjusting economy even when the agents are hit by small independent shocks. The result is applied to a standard sectoral business cycle model.