Incollection,
Dynamics of Helping Behavior and Networks in a Small World
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
To investigate an effect of social interaction on the bystanders'
intervention in emergency situations a rescue model was introduced
which includes the effects of the victim's acquaintance with
bystanders and those among bystanders from a network perspective.
This model reproduces the experimental result that the helping rate
(success rate in our model) tends to decrease although the number of
bystanders $k$ increases. And the interaction among homogeneous
bystanders results in the emergence of hubs in a helping network.
For more realistic consideration it is assumed that the agents are
located on a one-dimensional lattice (ring), then the randomness $p
0,1$ is introduced: the $kp$ random bystanders are randomly
chosen from a whole population and the $k-kp$ near bystanders are
chosen in the nearest order to the victim. We find that there
appears another peak of the network density in the vicinity of $k=9$
and $p=0.3$ due to the cooperative and competitive interaction
between the near and random bystanders.
