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Impulsivity in Binary Choices and the Emergence of Periodicity
Joint Authors
Gardini, Laura
Merlone, Ugo
Bischi, Gian Italo
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-27
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Binary choice games with externalities, as those described by Schelling (1973, 1978), have been recently modelled as discrete dynamical systems (Bischi and Merlone, 2009).
In this paper we discuss the dynamic behavior in the case in which agents are impulsive; that is; they decide to switch their choices even when the difference between payoffs is extremely small.
This particular case can be seen as a limiting case of the original model and can be formalized as a piecewise linear discontinuous map.
We analyze the dynamic behavior of this map, characterized by the presence of stable periodic cycles of any period that appear and disappear through border-collision bifurcations.
After a numerical exploration, we study the conditions for the creation and the destruction of periodic cycles, as well as the analytic expressions of the bifurcation curves.
American Psychological Association (APA)
Bischi, Gian Italo& Gardini, Laura& Merlone, Ugo. 2009. Impulsivity in Binary Choices and the Emergence of Periodicity. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-469733
Modern Language Association (MLA)
Bischi, Gian Italo…[et al.]. Impulsivity in Binary Choices and the Emergence of Periodicity. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-469733
American Medical Association (AMA)
Bischi, Gian Italo& Gardini, Laura& Merlone, Ugo. Impulsivity in Binary Choices and the Emergence of Periodicity. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-469733
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469733