Dynamics in Braess Paradox with Nonimpulsive Commuters
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 differen...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/345795 |
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| _version_ | 1832558660022173696 |
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| author | Arianna Dal Forno Ugo Merlone Viktor Avrutin |
| author_facet | Arianna Dal Forno Ugo Merlone Viktor Avrutin |
| author_sort | Arianna Dal Forno |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-61e31df8699c4bed897765cf86825b8f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-61e31df8699c4bed897765cf86825b8f2025-02-03T01:31:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/345795345795Dynamics in Braess Paradox with Nonimpulsive CommutersArianna Dal Forno0Ugo Merlone1Viktor Avrutin2Department of Economics and Statistics “Cognetti de Martiis,” University of Torino, 10153 Torino, ItalyDepartment of Psychology, University of Torino, 10124 Torino, ItalyDESP, University of Urbino “Carlo Bo,” 61026 Urbino, ItalyIn 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.http://dx.doi.org/10.1155/2015/345795 |
| spellingShingle | Arianna Dal Forno Ugo Merlone Viktor Avrutin Dynamics in Braess Paradox with Nonimpulsive Commuters Discrete Dynamics in Nature and Society |
| title | Dynamics in Braess Paradox with Nonimpulsive Commuters |
| title_full | Dynamics in Braess Paradox with Nonimpulsive Commuters |
| title_fullStr | Dynamics in Braess Paradox with Nonimpulsive Commuters |
| title_full_unstemmed | Dynamics in Braess Paradox with Nonimpulsive Commuters |
| title_short | Dynamics in Braess Paradox with Nonimpulsive Commuters |
| title_sort | dynamics in braess paradox with nonimpulsive commuters |
| url | http://dx.doi.org/10.1155/2015/345795 |
| work_keys_str_mv | AT ariannadalforno dynamicsinbraessparadoxwithnonimpulsivecommuters AT ugomerlone dynamicsinbraessparadoxwithnonimpulsivecommuters AT viktoravrutin dynamicsinbraessparadoxwithnonimpulsivecommuters |