کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628008 1631815 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adaptive decision dynamics: Bifurcations, multistability and chaos
ترجمه فارسی عنوان
پویایی تصمیمی سازگار: دوگانگی، چندسطحی و هرج و مرج
کلمات کلیدی
مکانیسم تصمیمی سازنده، بی اختیاری ها، چندتایی بودن، دینامیک پیچیده
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper we propose a model describing the dynamical process of decision and opinion formation of two economic homogeneous interacting and boundedly rational agents. The decisional process represented in our model is given by 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. By means of an auxiliary variable describing the distance between the opinions, we obtain a one-dimensional dynamical system for which we investigate, via analytical and numerical tools, the stability of the unique steady state, its bifurcations, as well as the existence of a globally absorbing interval and of chaotic dynamics. We also investigate multistability phenomena, i.e., the presence of coexisting attractors. Finally, we relax the assumption of homogeneity between agents and we show that there is a strong correspondence between the dynamic behaviors in the scenarios with and without homogeneity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 239, 15 July 2014, Pages 375–390
نویسندگان
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