Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition

DOI10.1142/S0218127415300311zbMath1327.37015WikidataQ57627116 ScholiaQ57627116MaRDI QIDQ3457734

Christoph Dibak, Viktor Avrutin, Ugo Merlone, Arianna Dal Forno

Publication date: 17 December 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

border collision bifurcationsdiscontinuous mapspiecewise smooth mapsBraess paradox

Mathematics Subject Classification ID

Games involving graphs (91A43) Traffic problems in operations research (90B20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Low-dimensional dynamical systems (37E99)

Related Items (2)

Reference group influence on binary choices dynamics ⋮ Heterogeneous society in binary choices with externalities

Cites Work

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• Degrading network capacity may improve performance: private versus public monitoring in the Braess paradox
• Ternary choices in repeated games and border collision bifurcations
• BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH
• CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT
• How bad is selfish routing?
• Stronger Bounds on Braess's Paradox and the Maximum Latency of Selfish Routing
• Periodic Cycles and Bifurcation Curves for One-Dimensional Maps with Two Discontinuities
• Avoiding the Braess paradox in non-cooperative networks
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps
• Über ein Paradoxon aus der Verkehrsplanung

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