Dynamics in Braess Paradox with Nonimpulsive Commuters
Joint Authors
Dal Forno, Arianna
Merlone, Ugo
Avrutin, Viktor
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In Braess paradox the addiction of an extra resource creates a social dilemma in whichthe individual rationality leads to collective irrationality.
In the literature, the dynamics has been analyzed when considering impulsive commuters, i.e., those who switch choice regardless of the actual difference between costs.
We analyze a dynamical version of the paradox with nonimpulsive commuters, who change road proportionally to the cost difference.
When only two roads are available, we provide a rigorous proof of the existence of a unique fixed point showing that it is globally attracting even if locally unstable.
When a new road is added the system becomes discontinuous and two-dimensional.
We prove that still a unique fixed point exists, and its global attractivity is numerically evidenced, also when the fixed point is locally unstable.
Our analysis adds a new insight in the understanding of dynamics in social dilemma.
American Psychological Association (APA)
Dal Forno, Arianna& Merlone, Ugo& Avrutin, Viktor. 2015. Dynamics in Braess Paradox with Nonimpulsive Commuters. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060474
Modern Language Association (MLA)
Dal Forno, Arianna…[et al.]. Dynamics in Braess Paradox with Nonimpulsive Commuters. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060474
American Medical Association (AMA)
Dal Forno, Arianna& Merlone, Ugo& Avrutin, Viktor. Dynamics in Braess Paradox with Nonimpulsive Commuters. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060474
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060474