Dynamics in braess paradox with nonimpulsive commuters
type: Item
instance of: scholarly article
title: Dynamics in braess paradox with nonimpulsive commuters
zbMATH Open document ID: 1418.90074
DOI: 10.1155/2015/345795
author: Arianna Dal Forno
author: Ugo Merlone
author: Viktor Avrutin
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: In Braess paradox the addiction of an extra resource creates a social dilemma in which the 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.
Mathematics Subject Classification ID: 90B20
Mathematics Subject Classification ID: 91A43
zbMATH DE Number: 7025322
Wikidata QID: Q57627186
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/345795
OpenAlex ID: W1998051531
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description: scientific article; zbMATH DE number 7025322