Game Theory, Crowd Dynamics, Innovation, Cascade Spreading, and Disaster Response Management
(includes contributions on the proportional imitation rule, self-organized conventions, as well as the co-evolution of spatio-temporal social organization and cooperation in mobility games)
1. Proportional Imitation Rule and Microscopic Foundation of Game-Dynamical Equations for Social Systems
2. Self-Organization of Behavioral Conventions in Coordination Games; Spontaneous Symmetry-Breaking and Preferred Side of Walking
- D. Helbing (1992) A mathematical model for behavioral changes by pair interactions. Pages 330-348 in: G. Haag, U. Mueller, and K. G. Troitzsch (eds.) Economic Evolution and Demographic Change. Formal Models in Social Sciences (Springer, Berlin).
- D. Helbing (1991) A mathematical model for the behavior of pedestrians. Behavioral Science 36, 298-310.
- D. Helbing (1990) Physikalische Modellierung des dynamischen Verhaltens von Fußgängern [Physics-Based Modeling of the Dynamic Behavior of Pedestrians, in German] (Master's thesis, Georg-August University Göttingen).
- D. Helbing, P. Molnár, I. Farkas, and K. Bolay (2001) Self-organizing pedestrian movement. Environment and Planning B 28, 361-383.
- M. Moussaïd, D. Helbing, S. Garnier, A. Johansson,M. Combe, and G. Theraulaz (2009) Experimental study of the behavioral mechanisms underlying self-organization in human crowds. Proceedings of the Royal Society B 276, 2755–2762.
3. Stochastic Formulation of Game-Dynamical and Other Sociologically Relevant Equations
- D. Helbing (1993) Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory. Physica A 193, 241-258.
- D. Helbing (1996) A stochastic behavioral model and a `microscopic' foundation of evolutionary game theory. Theory and Decision 40, 149-179.
- D. Helbing (1996) Survival analysis, master equation, efficient simulation of path-related quantities, and hidden state concept of transitions (peer-reviewed). Pages: 179-207 in: K. G. Troitzsch, U. Mueller, G. N. Gilbert, and J. E. Doran (eds.) Social Science Microsimulation (Springer, Berlin).
- D. Helbing, M. Treiber, and N. J. Saam (2005) Analytical investigation of innovation dynamics considering stochasticity in the evaluation of fitness. Physical Review E 71, 067101.
4. Migration, Success-Driven Motion, and Spatio-Temporal Pattern Formation
5. Spatio-Temporal Pattern Formation and Cooperation
6. Experimental Games with Many Iterations; Emergence of Turn-Taking (Alternating Cooperation) in the Route Choice Dilemma Game
- D. Helbing and W. Yu (2010) The future of social experimenting. PNAS 107(12), 5265-5266.
- D. Helbing, M. Schönhof, H.-U. Stark, and J. A. Holyst (2005) How individuals learn to take turns: Emergence of alternating cooperation in a congestion game and the prisoner's dilemma. Advances in Complex Systems 8, 87-116.
- D. Helbing, M. Schönhof, and D. Kern (2002) Volatile decision dynamics: Experiments, stochastic description, intermittency control, and traffic optimization. New Journal of Physics 4, 33.1-33.16.
7. Evolution of Norms and Spreading of Costly Punishment
- D. Helbing and A. Johansson (2010) Evolutionary dynamics of populations with conflicting interactions: Classification and analytical treatment considering asymmetry and power. Phys. Rev. E 81, 016112.
- D. Helbing, A. Szolnoki, M. Perc, and G. Szabó (2010) Punish, but not too hard: how costly punishment spreads in the spatial public goods game. New J. Phys. 12, 083005.
- D. Helbing, A. Szolnoki, M. Perc, and G. Szabó(2010) Defector-accelerated cooperativeness and punishment in public goods games with mutations. Physical Review E 81(5), 057104.
- D. Helbing and A. Johansson (2010) Evolutionary dynamics of populations with conflicting interactions: Classification and analytical treatment considering asymmetry and power. Physica E 81, 016112.
- D. Helbing, A. Szolnoki, M. Perc, andG. Szabó (2010) Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions. PLoS Computational Biology 6(4), e1000758.
8. Opinion Formation
9. Collective Behavior, Swarm Intelligence, Crowd Behavior, and Pedestrians
- M. Moussaid, N. Perozo, S. Garnier, D. Helbing, and G. Theraulaz (2010) The walking behaviour of pedestrian social groups and its impact on crowd dynamics. PLoS one 5(4),e10047.
- M. Moussaid, S. Garnier, G. Theraulaz and D. Helbing (2009) Collective Information Processing and Pattern Formation in Swarms, Flocks, and Crowds. Topics in Cognitive Science 1(3), 469-497.
- J. R. G. Dyer, A. Johansson, D. Helbing, I. D. Couzin and J. Krause (2009) Leadership, consensus decision making and collective behaviour in humans. Philosophical Transactions of the Royal Society B 364, 781-789.
- I. Farkas, D. Helbing, and T. Vicsek (2002) Mexican waves in an excitable medium. Nature 419, 131-132.
- A. Dussutour, V. Fourcassié, D. Helbing, and J.-L. Deneubourg (2004) Optimal traffic organization in ants under crowded conditions. Nature 428, 70-73.
- T. Seidel, J. Hartwig, R.L. Sanders and D. Helbing (2008) An agent-based approach to self-organized production. Pages 219-252 in: C. Blum and D. Merkle (eds.) Swarm Intelligence - Introduction and Applications (Springer, Berlin).
- W. Weidlich and D. Helbing (1998) A mathematical model of group dynamics including the effects of solidarity. Pages 139-196 in: P. Doreian and T. Fararo (eds.) The Problem of Solidarity: Theories and Models (Gordon and Breach, London).
- A. Johansson, D. Helbing, H. Z. A-Abideen, andS. Al-Bosta (2008) From crowd dynamics to crowd safety: A video-based analysis. Advances in Complex Systems 11(4), 497-527.
- D. Helbing, A. Johansson, and H. Z. Al-Abideen (2007) The dynamics of crowd disasters: An empirical study. Physical Review E 75, 046109.
- D. Helbing, L. Buzna, A. Johansson, and T. Werner (2005) Self-organized pedestrian crowd dynamics: Experiments, simulations, and design solutions. Transportation Science 39(1), 1-24.
- D. Helbing, I. Farkas, and T. Vicsek (2000) Simulating dynamical features of escape panic. Nature 407, 487-490.
- D. Helbing, J. Keltsch, and P. Molnár (1997) Modelling the evolution of human trail systems. Nature 388, 47-50.
- D. Helbing and P. Molnár (1995) Social force model for pedestrian dynamics. Physical Review E 51, 4282-4286.
- D. Helbing (1992) A fluid-dynamic model for the movement of pedestrians. Complex Systems 6, 391-415.
- D. Helbing (1991) A mathematical model for the behavior of pedestrians. Behavioral Science 36, 298-310.
10. Cascade-Like Spreading and Disaster Response Management
- R. Carvalho, L. Buzna, F. Bono, M. Masera, D.K. Arrowsmith, D. Helbing (2014) Resilience of natural gas networks during conflicts, crises and disruptions. PLoS One 9(3): e90265
- D. Brockmann and D. Helbing (2013) The hidden geometry of complex, network-driven contagion phenomena. Science 342(6164), 1337–1342.
- D. Helbing (2013): Globally networked risks and how to respond. Nature 497, 51–59.
- D. Helbing (2009) Systemic risks in society and economics. Santa Fe Instituteworking paper.
- D. Helbing (2009) Managing complexity in socio-economic systems. European Review 17, 423-438.
- L. Buzna, K. Peters, H. Ammoser, C. Kühnert, and D. Helbing (2007) Efficient response to cascading disaster spreading. Physical Review E 75, 056107.
- K. Peters, L. Buzna, and D. Helbing (2008) Modelling of cascading effects and efficient response to disaster spreading in complex networks. Int. J. Critical Infrastructures 4(1/2), 46-62.
- I. Simonsen, L. Buzna, K. Peters, S. Bornholdt, and D. Helbing (2008) Transient dynamics increasing network vulnerability to cascading failures. Physical Review Letters 100, 218701.
- D. Helbing, H. Ammoser, and C. Kühnert (2006) Information flows in hierarchical networks and the capability of organizations to successfully respond to failures, crises, and disasters. Physica A 363, 141-150.
- D. Helbing and C. Kühnert (2003) Assessing interaction networks with applications to catastrophe dynamics and disaster management. Physica A 328, 584-606.
11. Innovation
- A. Mazloumian, Y-H. Eom, D. Helbing, S. Lozano, S. Fortunato (2011) How citation boosts promote scientific paradigm shifts and Nobel Prizes. PLoS ONE 6(5), e18975.
- L. M. A. Bettencourt, J. Lobo, D. Helbing, C. Kühnert, and G. B. West (2007) Growth, innovation, scaling and the pace of life in cities. Proceedings of the national Academy of Sciences USA (PNAS) 104, 7301-7306.
- D. Helbing, M. Treiber, and N. J. Saam (2005) Analytical investigation of innovation dynamics considering stochasticity in the evaluation of fitness. Physical Review E 71, 067101.
12. Books and Reviews
- D. Helbing and A. Johansson (2009) Pedestrian, Crowd and Evacuation Dynamics. In: Meyers Encyclopedia of Complexity and Systems Science (Springer, Berlin).
- D. Helbing, C. Kühnert, S. Lämmer, A. Johansson, B. Gehlsen, H. Ammoser and G.B. West (2009) Power laws in urban supply networks, social systems, and dense pedestrian crowds. Pages 433-450 in: D. Lane, S. van der Leeuw, D. Pumain, andG. West (eds.) Complexity perspectives in innovation and social change (Springer, Berlin Heidelberg, New York).
- D. Helbing, ed. (2008) Managing Complexity: Insights, Concepts, Applications (Springer, Berlin).
- D. Helbing, H. Ammoser, and C. Kühnert (2005) Disasters as extreme events and the importance of network interactions for disaster response management. Pages 319-348. in: S. Albeverio, V. Jentsch, and H. Kantz (eds.) Extreme Events in Nature and Society (Springer, Berlin).
- D. Helbing (2004) Dynamic decision behavior and optimal guidance through information services: Models and experiments. Pages 47-95 in: M. Schreckenberg and R. Selten (eds.) Human Behaviour and Traffic Networks (Springer, Berlin).
- D. Helbing and W. Weidlich (1995) Quantitative Soziodynamik: Gegenstand, Methodik, Ergebnisse und Perspektiven. Kölner Zeitschrift für Soziologie und Sozialpsychologie 47(1), 114-140.
- D. Helbing (1995) Quantitative Sociodynamics. Stochastic Methods and Models of Social Interaction Processes (Kluwer Academic, Dordrecht).
- D. Helbing (1992) Stochastische Methoden, nichtlineare Dynamik und quantitative Modelle sozialer Prozesse [Stochastic Methods, Non-Linear Dynamics, and Quantitative Models of Social Processes, see "Quantitative Sociodynamics (1995) for an English translation] (PhD thesis, University of Stuttgart. Published by Shaker, Aachen, 1993, 2nd ed. 1996).
- For further publications on game theory, click here.
- For further publications on pedestrian and crowd dynamics, click here.
- Videos and simulations related to the above subjects can be found here.