An adaptive decisional mechanism leading to chaos
In this paper we propose a framework in order to analyze the dynamical process of decision and opinion formation of two economic homogeneous and boundedly rational agents that interact and learn from each other over time. The decisional process described in our model is an adaptive adjustment mechanism in which two agents take into account the difference between their own opinion and the opinion of the other agent. The smaller that difference, the larger the weight given to the comparison of the opinions. We also assume that if the distance between the two opinions is larger than a given threshold, then there is no interaction and the agents do not change their opinion anymore. Introducing an auxiliary variable describing the distance between the opinions, we obtain a one-dimensional map for which we investigate, mainly via analytical tools, the stability of the steady states, their bifurcations, as well as the existence of chaotic dynamics and multistability phenomena, i.e., the presence of coexisting attractors.
|Date of creation:||Jul 2013|
|Date of revision:||Jul 2013|
|Contact details of provider:|| Postal: Piazza Ateneo Nuovo, 1 Milano 20126|
Phone: +39 02 6448 3089
Fax: +39 02 6448 3085
Web page: http://dems.unimib.it
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:mib:wpaper:252. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Matteo Pelagatti)
If references are entirely missing, you can add them using this form.