Quantification of deviations from rationality with heavy tails in human dynamics.

@article{Maillart2011QuantificationOD,
  title={Quantification of deviations from rationality with heavy tails in human dynamics.},
  author={Thomas Maillart and Didier Sornette and Steven Frei and Thomas Duebendorfer and Alexander I. Saichev},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 5 Pt 2},
  pages={
          056101
        }
}
The dynamics of technological, economic and social phenomena is controlled by how humans organize their daily tasks in response to both endogenous and exogenous stimulations. Queueing theory is believed to provide a generic answer to account for the often observed power-law distributions of waiting times before a task is fulfilled. However, the general validity of the power law and the nature of other regimes remain unsettled. Using anonymized data collected by Google at the World Wide Web… 

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References

SHOWING 1-10 OF 44 REFERENCES

The origin of bursts and heavy tails in human dynamics

It is shown that the bursty nature of human behaviour is a consequence of a decision-based queuing process: when individuals execute tasks based on some perceived priority, the timing of the tasks will be heavy tailed, with most tasks being rapidly executed, whereas a few experience very long waiting times.

Modeling bursts and heavy tails in human dynamics

It is shown that the bursty nature of human behavior is a consequence of a decision based queuing process: when individuals execute tasks based on some perceived priority, the timing of the tasks will be heavy tailed, most tasks being rapidly executed, while a few experiencing very long waiting times.

Robust dynamic classes revealed by measuring the response function of a social system

The relaxation response of a social system after endogenous and exogenous bursts of activity is studied using the time series of daily views for nearly 5 million videos on YouTube to provide a unique framework for the investigation of timing in complex systems.

Dynamics of book sales: endogenous versus exogenous shocks in complex networks.

A simple epidemic model of buyers connected within a network of acquaintances which propagates rumors and opinions on books is developed and suggests that social networks have evolved to converge very close to criticality (here in the sense of critical branching processes of opinion spreading).

Theory of Zipf's Law and Beyond

Zipf's law is one of the few quantitative reproducible regularities found in economics. It states that, for most countries, the size distributions of city sizes and of firms are power laws with a

Effects of Diversity and Procrastination in Priority Queuing Theory: the Different Power Law Regimes

  • A. SaichevD. Sornette
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2010
A simple model of the persistence phenomenon of a target task which has the lowest priority compared to all other tasks that flow on the computer of an individual is presented and the effect of "procrastination," defined as the situation in which the target task may be postponed or delayed even after the individual has solved all other pending tasks is studied.

Endogenous Versus Exogenous Shocks in Complex Networks: An Empirical Test Using Book Sale Rankings

The observed relaxation of sales implies that the sales dynamics is dominated by cascades rather than by the direct effects of news or advertisements, indicating that the social network is close to critical.

Power law signature of media exposure in human response waiting time distributions.

It is found that the humanitarian response to the destruction brought by the tsunami generated by the Sumatra earthquake of December 26, 2004, as measured by donations, decays in time as a power law ∼1/tα with α=2.5 ± 0.1 .

A Poissonian explanation for heavy tails in e-mail communication

It is demonstrated that the approximate power-law scaling of the inter-event time distribution is a consequence of circadian and weekly cycles of human activity, and a cascading nonhomogeneous Poisson process is proposed that explicitly integrates these periodic patterns in activity with an individual's tendency to continue participating in an activity.

Biased diffusion and universality in model queues.

The structure and robustness of universality classes for queueing are studied, deriving analytic results for priority-based models with continuous-valued priorities and introducing a cost for switching between different classes of tasks substantially changes the asymptotic behavior of P(tau).