568 citations · 858 across the 10 of their papers we have counts for
30 papers
Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic
Dirk Helbing, Rui Jiang, Martin Treiber
In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they tr…
How individuals learn to take turns: Emergence of alternating cooperation in a congestion game and the prisoner's dilemma
Dirk Helbing, Martin Schonhof, Hans-Ulrich Stark +1
In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar probl…
Analytical Investigation of Innovation Dynamics Considering Stochasticity in the Evaluation of Fitness
Dirk Helbing, Martin Treiber, Nicole J. Saam
We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase th…
Empirical Features of Congested Traffic States and Their Implications for Traffic Modeling
Martin Schoenhof, Dirk Helbing
We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 break…
Physics, Stability and Dynamics of Supply Networks
Dirk Helbing, Stefan Lammer, Thomas Seidel +2
We show how to treat supply networks as physical transport problems governed by balance equations and equations for the adaptation of production speeds. Although the non-linear beh…
Network-Induced Oscillatory Behavior in Material Flow Networks
Dirk Helbing, Ulrich Witt, Stefan Laemmer +1
Network theory is rapidly changing our understanding of complex systems, but the relevance of topological features for the dynamic behavior of metabolic networks, food webs, produc…