1,393 research outputs found
Game theory in models of pedestrian room evacuation
We analyze the pedestrian evacuation of a rectangular room with a single door
considering a Lattice Gas scheme with the addition of behavioral aspects of the
pedestrians. The movement of the individuals is based on random and rational
choices and is affected by conflicts between two or more agents that want to
advance to the same position. Such conflicts are solved according to certain
rules closely related to the concept of strategies in Game Theory, cooperation
and defection. We consider game rules analogous to those from the Prisoner's
Dilemma and Stag Hunt games, with payoffs associated to the probabilities of
the individuals to advance to the selected site. We find that, even when
defecting is the rational choice for any agent, under certain conditions,
cooperators can take advantage from mutual cooperation and leave the room more
rapidly than defectors
Space use by foragers consuming renewable resources
We study a simple model of a forager as a walk that modifies a relaxing
substrate. Within it simplicity, this provides an insight on a number of
relevant and non-intuitive facts. Even without memory of the good places to
feed and no explicit cost of moving, we observe the emergence of a finite home
range. We characterize the walks and the use of resources in several
statistical ways, involving the behavior of the average used fraction of the
system, the length of the cycles followed by the walkers, and the frequency of
visits to plants. Preliminary results on population effects are explored by
means of a system of two non directly interacting animals. Properties of the
overlap of home ranges show the existence of a set of parameters that provides
the best utilization of the shared resource
Cultural propagation on social networks
In this work we present a model for the propagation of culture on networks of
different topology and by considering different underlying dynamics. We extend
a previous model proposed by Axelrod by letting a majority govern the dynamics
of changes. This in turn allows us to define a Lyapunov functional for the
system.Comment: 8 pages, 9 figures include
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