Akio Matsumoto, "Ergodic cobweb chaos", Discrete Dynamics in Nature and Society, vol. 1, Article ID 914695, 12 pages, 1997. https://doi.org/10.1155/S1026022697000149
Ergodic cobweb chaos
This study augments the traditional linear cobweb model with lower and upper bounds for variations of output. Its purpose is to detect the relationship between the output constraints and the dynamics of the modified model. Due to the upper and lower bounds, a transitional function takes on a tilted -profile having three piecewise segments with two turning points. It prevents the price (or quantity) dynamics from explosive oscillations. This study demonstrates, by presenting numerical examples, that the modified cobweb model can generate various dynamics ranging from stable periodic cycles to ergodic chaos if a product of the marginal propensity to consume and the marginal product is greater than unity.
Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.